Details

analyze325.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample43.0ms (0.1%)

Algorithm

1×

intervals

Results

17.0ms	245×	body	128	valid
9.0ms	295×	pre	128	true
2.0ms	39×	body	128	nan
1.0ms	11×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify6.1s (7.3%)

Algorithm

1×	egg-herbie

Rules

890×	`exp-prod_binary64_2517`
281×	`*-commutative_binary64_2396`
229×	`sub-neg_binary64_2458`
224×	`neg-mul-1_binary64_2461`
216×	`distribute-rgt-in_binary64_2415`
201×	`neg-sub0_binary64_2460`
175×	`distribute-rgt-neg-in_binary64_2423`
151×	`distribute-lft-neg-in_binary64_2422`
140×	`distribute-rgt1-in_binary64_2421`
137×	`exp-sum_binary64_2511`
128×	`associate-/l/_binary64_2412`
123×	`associate-r_binary64_2405`
117×	`unsub-neg_binary64_2459` `associate-/l*_binary64_2410`
116×	`div-sub_binary64_2470`
102×	`pow-plus_binary64_2528`
95×	`cancel-sign-sub-inv_binary64_2431`
87×	`distribute-neg-frac_binary64_2429`
73×	`distribute-lft-in_binary64_2414`
72×	`times-frac_binary64_2471`
69×	`distribute-rgt-out_binary64_2418`
61×	`+-commutative_binary64_2395`
50×	`distribute-rgt-out--_binary64_2419`
41×	`associate-l_binary64_2406`
40×	`exp-diff_binary64_2513` `associate-/r/_binary64_2411`
39×	`associate--r+_binary64_2401` `associate-+l+_binary64_2398`
33×	`associate-+l-_binary64_2400`
32×	`associate-/r*_binary64_2409`
30×	`associate-+r+_binary64_2397`
29×	`sub0-neg_binary64_2452`
25×	`remove-double-neg_binary64_2453` `associate--l+_binary64_2402`
23×	`distribute-lft-neg-out_binary64_2424`
22×	`div0_binary64_2446`
19×	`mul0-lft_binary64_2447`
18×	`exp-lft-sqr_binary64_2520`
15×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `mul0-rgt_binary64_2448` `swap-sqr_binary64_2432`
13×	`distribute-neg-in_binary64_2426` `distribute-rgt-neg-out_binary64_2425` `associate--l-_binary64_2403` `associate-+r-_binary64_2399`
11×	`+-lft-identity_binary64_2449` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `associate-*r/_binary64_2407`
10×	`exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `--rgt-identity_binary64_2451`
8×	`count-2_binary64_2413` `associate-*l/_binary64_2408`
7×	`cube-unmult_binary64_2502` `+-inverses_binary64_2444` `associate--r-_binary64_2404`
6×	`cube-prod_binary64_2493` `+-rgt-identity_binary64_2450` `distribute-lft1-in_binary64_2420`
5×	`exp-neg_binary64_2512` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416`
4×	`unswap-sqr_binary64_2433`
2×	`sqr-neg_binary64_2479`
1×	`1-exp_binary64_2509` `cube-neg_binary64_2492` `*-inverses_binary64_2445`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `log-div_binary64_2552` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-mult_binary64_2495` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `pow-sqr_binary64_2438` `sqr-pow_binary64_2437` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430`

Counts

1 → 4

Iterations

Useful iterations: 7 (1.0ms)

Iter	Nodes	Cost
0	13	26
1	29	24
2	61	24
3	127	24
4	181	24
5	351	24
6	1337	24
7	2876	1
8	18	1

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

27.5b

Counts

5 → 2

Compiler

Compiled 67 to 49 computations (26.9% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite92.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

26.1b

Rules

20×	`add-sqr-sqrt_binary64_2487`
14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `*-un-lft-identity_binary64_2465`
9×	`pow1_binary64_2526`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`difference-of-squares_binary64_2434` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
4×	`cancel-sign-sub-inv_binary64_2431` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `sqrt-prod_binary64_2481` `distribute-lft-out--_binary64_2417` `pow-prod-down_binary64_2536` `associate-r_binary64_2405`
2×	`diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l/_binary64_2412`
1×	`frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r_binary64_2409` `associate-l_binary64_2406` `-commutative_binary64_2396`

Counts

4 → 77

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series291.0ms (0.3%)

Error

1.1b

Counts

4 → 60

Calls

4 calls:

93.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
69.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
64.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
22.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify342.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-/l*_binary64_2410`
287×	`distribute-rgt-in_binary64_2415`
250×	`distribute-lft-in_binary64_2414`
235×	`distribute-rgt-neg-in_binary64_2423`
213×	`distribute-lft-neg-in_binary64_2422`
197×	`associate-l_binary64_2406`
196×	`associate-r_binary64_2405`
186×	`cancel-sign-sub-inv_binary64_2431`
185×	`associate-/l/_binary64_2412`
177×	`associate-/r/_binary64_2411`
101×	`*-commutative_binary64_2396`
96×	`unswap-sqr_binary64_2433`
91×	`times-frac_binary64_2471`
86×	`associate-/r*_binary64_2409`
83×	`neg-sub0_binary64_2460`
81×	`neg-mul-1_binary64_2461`
80×	`sub-neg_binary64_2458`
77×	`sqr-pow_binary64_2437`
76×	`distribute-neg-frac_binary64_2429`
70×	`distribute-neg-in_binary64_2426`
62×	`distribute-lft-neg-out_binary64_2424`
60×	`exp-prod_binary64_2517` `div-sub_binary64_2470`
43×	`distribute-rgt-neg-out_binary64_2425`
40×	`+-commutative_binary64_2395`
35×	`pow-sqr_binary64_2438`
33×	`distribute-rgt-out_binary64_2418` `associate-*l/_binary64_2408`
30×	`cube-prod_binary64_2493` `associate-*r/_binary64_2407`
26×	`associate-+r+_binary64_2397`
25×	`associate-+l+_binary64_2398`
23×	`log-prod_binary64_2551` `unsub-neg_binary64_2459`
19×	`distribute-lft-out_binary64_2416`
17×	`pow-plus_binary64_2528` `swap-sqr_binary64_2432`
16×	`*-rgt-identity_binary64_2455`
14×	`*-lft-identity_binary64_2454`
13×	`unpow3_binary64_2531` `associate--r+_binary64_2401`
11×	`cube-mult_binary64_2495`
9×	`difference-of-squares_binary64_2434`
8×	`/-rgt-identity_binary64_2456`
7×	`log-div_binary64_2552` `exp-sum_binary64_2511` `associate-+r-_binary64_2399`
6×	`cube-unmult_binary64_2502` `+-rgt-identity_binary64_2450`
5×	`exp-diff_binary64_2513`
4×	`exp-lft-cube_binary64_2521` `cube-div_binary64_2494`
3×	`unpow2_binary64_2530` `unpow1_binary64_2523` `exp-cbrt_binary64_2519` `div-exp_binary64_2516` `mul-1-neg_binary64_2457` `associate-+l-_binary64_2400`
2×	`rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `*-inverses_binary64_2445` `distribute-neg-out_binary64_2427` `distribute-lft-out--_binary64_2417`
1×	`pow-base-1_binary64_2525` `exp-sqrt_binary64_2518` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-log-exp_binary64_2506` `rem-3cbrt-lft_binary64_2490` `remove-double-neg_binary64_2453` `distribute-frac-neg_binary64_2428` `count-2_binary64_2413` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-sqr_binary64_2520` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `cancel-sign-sub_binary64_2430` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419`

Counts

137 → 394

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3228
1	590	3017
2	2308	2992

prune321.0ms (0.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	377	17	394
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	379	17	396

Error

0.6b

Counts

396 → 17

Compiler

Compiled 11756 to 6705 computations (43% saved)

localize31.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(/.f64 (.f64 3/8 (.f64 a (*.f64 c c))) (pow.f64 b 3))
0.4b	(/.f64 (pow.f64 b 7) (pow.f64 a 3))
0.4b	(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))

rewrite3.7s (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

1391×	`times-frac_binary64_2471`
798×	`unpow-prod-down_binary64_2544`
610×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
266×	`sqr-pow_binary64_2437`
198×	`cube-prod_binary64_2493`
169×	`add-exp-log_binary64_2503`
119×	`associate-/r*_binary64_2409`
99×	`div-exp_binary64_2516`
66×	`unpow3_binary64_2531` `cube-mult_binary64_2495`
51×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
45×	`prod-exp_binary64_2514`
34×	`add-cbrt-cube_binary64_2501`
16×	`associate-/l*_binary64_2410`
12×	`div-inv_binary64_2462`
11×	`cbrt-undiv_binary64_2499`
9×	`cbrt-unprod_binary64_2498`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `frac-2neg_binary64_2476` `clear-num_binary64_2464`
1×	`associate-/r/_binary64_2411`

Counts

4 → 977

Calls

4 calls:

24.0ms	(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
9.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 3/8 (.f64 a (*.f64 c c))) (pow.f64 b 3))
6.0ms	(/.f64 (pow.f64 b 7) (pow.f64 a 3))

Compiler

Compiled 59790 to 38393 computations (35.8% saved)

series460.0ms (0.5%)

Error

0.6b

Counts

4 → 33

Calls

4 calls:

140.0ms	(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
113.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
95.0ms	(/.f64 (.f64 3/8 (.f64 a (*.f64 c c))) (pow.f64 b 3))
67.0ms	(/.f64 (pow.f64 b 7) (pow.f64 a 3))

Compiler

Compiled 4554 to 3421 computations (24.9% saved)

simplify2.8s (3.4%)

Algorithm

1×	egg-herbie

Rules

746×	`associate-/r/_binary64_2411`
636×	`associate-/l/_binary64_2412`
532×	`associate-*r/_binary64_2407`
528×	`associate-/r*_binary64_2409`
516×	`associate-*l/_binary64_2408`
115×	`unswap-sqr_binary64_2433`
82×	`associate-/l*_binary64_2410`
65×	`sqr-pow_binary64_2437`
47×	`pow-sqr_binary64_2438`
37×	`log-prod_binary64_2551`
34×	`distribute-rgt-neg-in_binary64_2423`
31×	`distribute-lft-neg-in_binary64_2422`
29×	`sub-neg_binary64_2458`
28×	`cancel-sign-sub-inv_binary64_2431`
27×	`associate-l_binary64_2406`
19×	`log-div_binary64_2552` `/-rgt-identity_binary64_2456` `associate-r_binary64_2405`
18×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `swap-sqr_binary64_2432`
16×	`cube-unmult_binary64_2502`
15×	`times-frac_binary64_2471` `*-commutative_binary64_2396`
11×	`distribute-neg-frac_binary64_2429`
10×	`unpow3_binary64_2531` `cube-mult_binary64_2495`
9×	`log-pow_binary64_2554`
8×	`pow-plus_binary64_2528` `pow-base-1_binary64_2525` `associate--r-_binary64_2404`
7×	`rem-sqrt-square_binary64_2478`
6×	`associate--l+_binary64_2402`
5×	`cube-prod_binary64_2493` `remove-double-div_binary64_2441`
3×	`exp-prod_binary64_2517` `distribute-lft-neg-out_binary64_2424` `+-commutative_binary64_2395`
2×	`log-rec_binary64_2553` `unpow2_binary64_2530` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `rem-square-sqrt_binary64_2477` `distribute-neg-in_binary64_2426` `count-2_binary64_2413` `associate-+l+_binary64_2398` `associate-+r+_binary64_2397`
1×	`div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `1-exp_binary64_2509` `cube-div_binary64_2494` `div-sub_binary64_2470` `*-inverses_binary64_2445`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `unsub-neg_binary64_2459` `mul-1-neg_binary64_2457` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate--l-_binary64_2403` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`

Counts

1010 → 3498

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1174	30770
1	1685	30146

prune37.4s (44.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	3497	1	3498
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	3497	18	3515

Error

0.6b

Counts

3515 → 18

Compiler

Compiled 213250 to 133633 computations (37.3% saved)

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 7)) (pow.f64 c 4))
0.4b	(.f64 (.f64 9/8 (.f64 c c)) (neg.f64 (.f64 a a)))
0.4b	(/.f64 (*.f64 3/2 a) (/.f64 b c))
0.7b	(pow.f64 (*.f64 c a) 3)

rewrite596.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

110×	`add-sqr-sqrt_binary64_2487`
107×	`times-frac_binary64_2471`
87×	`add-exp-log_binary64_2503`
74×	`unpow-prod-down_binary64_2544`
54×	`associate-l_binary64_2406`
51×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
44×	`sqr-pow_binary64_2437`
39×	`prod-exp_binary64_2514`
33×	`add-cbrt-cube_binary64_2501` `div-exp_binary64_2516`
30×	`pow-exp_binary64_2533` `unswap-sqr_binary64_2433`
29×	`pow-to-exp_binary64_2534`
16×	`pow1_binary64_2526`
13×	`associate-/r_binary64_2409` `associate-r*_binary64_2405`
11×	`cbrt-unprod_binary64_2498`
7×	`pow-prod-down_binary64_2536` `cbrt-undiv_binary64_2499`
4×	`add-log-exp_binary64_2504` `div-inv_binary64_2462`
3×	`pow-unpow_binary64_2542`
2×	`pow-pow_binary64_2537` `rem-cube-cbrt_binary64_2488` `*-commutative_binary64_2396`
1×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `distribute-rgt-neg-out_binary64_2425` `neg-mul-1_binary64_2461` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422` `associate-l/_binary64_2408`

Counts

4 → 224

Calls

4 calls:

16.0ms	(*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 7)) (pow.f64 c 4))
7.0ms	(.f64 (.f64 9/8 (.f64 c c)) (neg.f64 (.f64 a a)))
5.0ms	(/.f64 (*.f64 3/2 a) (/.f64 b c))
3.0ms	(pow.f64 (*.f64 c a) 3)

Compiler

Compiled 13829 to 8605 computations (37.8% saved)

series342.0ms (0.4%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

137.0ms	(*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 7)) (pow.f64 c 4))
66.0ms	(/.f64 (*.f64 3/2 a) (/.f64 b c))
49.0ms	(.f64 (.f64 9/8 (.f64 c c)) (neg.f64 (.f64 a a)))
45.0ms	(pow.f64 (*.f64 c a) 3)

Compiler

Compiled 4698 to 3420 computations (27.2% saved)

simplify440.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

441×	`associate-l_binary64_2406`
385×	`associate-r_binary64_2405`
257×	`associate-/l*_binary64_2410`
198×	`*-commutative_binary64_2396`
197×	`log-prod_binary64_2551`
173×	`associate-*l/_binary64_2408`
165×	`times-frac_binary64_2471`
146×	`exp-prod_binary64_2517`
139×	`distribute-rgt-neg-out_binary64_2425`
129×	`sqr-pow_binary64_2437`
126×	`associate-/r*_binary64_2409`
122×	`swap-sqr_binary64_2432`
106×	`associate-*r/_binary64_2407`
105×	`distribute-lft-neg-out_binary64_2424`
103×	`cube-prod_binary64_2493`
101×	`associate-/l/_binary64_2412`
93×	`associate-/r/_binary64_2411`
79×	`distribute-rgt-neg-in_binary64_2423`
70×	`pow-sqr_binary64_2438`
56×	`log-div_binary64_2552`
52×	`unswap-sqr_binary64_2433`
51×	`*-rgt-identity_binary64_2455`
49×	`neg-sub0_binary64_2460`
47×	`neg-mul-1_binary64_2461`
38×	`/-rgt-identity_binary64_2456`
34×	`log-pow_binary64_2554`
33×	`*-lft-identity_binary64_2454` `cancel-sign-sub-inv_binary64_2431`
32×	`cube-div_binary64_2494` `sub-neg_binary64_2458`
30×	`cube-unmult_binary64_2502`
27×	`pow-plus_binary64_2528`
18×	`distribute-lft-neg-in_binary64_2422`
12×	`distribute-neg-frac_binary64_2429` `+-commutative_binary64_2395`
11×	`div-exp_binary64_2516`
10×	`rem-sqrt-square_binary64_2478`
9×	`prod-exp_binary64_2514`
8×	`distribute-neg-in_binary64_2426` `associate-+l-_binary64_2400`
7×	`associate-+l+_binary64_2398`
5×	`div-sub_binary64_2470` `associate-+r+_binary64_2397`
4×	`unpow3_binary64_2531` `sqr-neg_binary64_2479` `associate--l+_binary64_2402`
3×	`pow-base-1_binary64_2525` `unpow1_binary64_2523` `rec-exp_binary64_2515` `cube-mult_binary64_2495` `mul-1-neg_binary64_2457` `remove-double-neg_binary64_2453`
2×	`log-rec_binary64_2553` `unpow2_binary64_2530` `unsub-neg_binary64_2459` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate--r-_binary64_2404` `associate--r+_binary64_2401`
1×	`exp-sqrt_binary64_2518` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-log-exp_binary64_2506` `rem-cbrt-cube_binary64_2489` `*-inverses_binary64_2445` `rgt-mult-inverse_binary64_2442` `distribute-frac-neg_binary64_2428` `count-2_binary64_2413` `associate-+r-_binary64_2399`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `associate--l-_binary64_2403`

Counts

254 → 701

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	5106
1	905	4802
2	3746	4715

prune2.2s (2.6%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	692	9	701
Fresh	1	15	16
Picked	1	0	1
Done	0	1	1
Total	694	25	719

Error

0.6b

Counts

719 → 25

Compiler

Compiled 45658 to 28710 computations (37.1% saved)

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 b 7) (pow.f64 a 4))
0.4b	(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 3/2 (.f64 c a)) b) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3))) (.f64 405/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))))) (.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))) (*.f64 3 a))
0.4b	(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4)))
0.4b	(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3))

rewrite3.9s (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

836×	`times-frac_binary64_2471`
552×	`unpow-prod-down_binary64_2544`
396×	`*-un-lft-identity_binary64_2465`
388×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
184×	`sqr-pow_binary64_2437`
129×	`add-exp-log_binary64_2503`
83×	`div-exp_binary64_2516`
73×	`associate-/r*_binary64_2409`
39×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
34×	`add-cbrt-cube_binary64_2501`
27×	`associate-/l*_binary64_2410`
25×	`prod-exp_binary64_2514`
12×	`div-inv_binary64_2462`
11×	`cbrt-undiv_binary64_2499`
9×	`cbrt-unprod_binary64_2498` `frac-add_binary64_2473`
8×	`distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
7×	`distribute-neg-frac_binary64_2429` `associate-/l/_binary64_2412`
6×	`cube-prod_binary64_2493`
5×	`associate-*r/_binary64_2407`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `distribute-lft-out_binary64_2416`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
2×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `neg-mul-1_binary64_2461`
1×	`associate-/r/_binary64_2411` `neg-sub0_binary64_2460` `div-sub_binary64_2470` `distribute-frac-neg_binary64_2428`

Counts

4 → 660

Calls

4 calls:

29.0ms	(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 3/2 (.f64 c a)) b) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3))) (.f64 405/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))))) (.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))) (*.f64 3 a))
17.0ms	(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4)))
10.0ms	(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3))
5.0ms	(/.f64 (pow.f64 b 7) (pow.f64 a 4))

Compiler

Compiled 47624 to 31498 computations (33.9% saved)

series799.0ms (1%)

Error

0.6b

Counts

4 → 45

Calls

4 calls:

256.0ms	(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 3/2 (.f64 c a)) b) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3))) (.f64 405/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))))) (.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))) (*.f64 3 a))
177.0ms	(/.f64 (pow.f64 b 7) (pow.f64 a 4))
156.0ms	(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4)))
120.0ms	(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3))

Compiler

Compiled 4966 to 3817 computations (23.1% saved)

simplify1.8s (2.2%)

Algorithm

1×	egg-herbie

Rules

699×	`associate-/r/_binary64_2411`
620×	`associate-/l/_binary64_2412`
617×	`times-frac_binary64_2471`
95×	`unswap-sqr_binary64_2433`
86×	`associate-/l*_binary64_2410`
84×	`distribute-rgt-in_binary64_2415`
68×	`distribute-lft-in_binary64_2414`
56×	`sqr-pow_binary64_2437`
52×	`neg-mul-1_binary64_2461`
51×	`neg-sub0_binary64_2460` `cancel-sign-sub-inv_binary64_2431`
50×	`sub-neg_binary64_2458`
45×	`distribute-rgt-neg-in_binary64_2423`
42×	`*-commutative_binary64_2396`
40×	`pow-sqr_binary64_2438` `distribute-lft-neg-in_binary64_2422`
34×	`associate-l_binary64_2406`
29×	`associate-/r*_binary64_2409`
28×	`associate-r_binary64_2405`
26×	`distribute-neg-in_binary64_2426`
24×	`distribute-frac-neg_binary64_2428`
22×	`associate-*r/_binary64_2407`
21×	`log-prod_binary64_2551`
19×	`swap-sqr_binary64_2432`
18×	`distribute-neg-frac_binary64_2429`
17×	`/-rgt-identity_binary64_2456`
15×	`distribute-lft-neg-out_binary64_2424`
14×	`cube-unmult_binary64_2502`
13×	`log-div_binary64_2552` `div-sub_binary64_2470`
12×	`distribute-rgt-neg-out_binary64_2425` `+-commutative_binary64_2395`
8×	`associate--r-_binary64_2404`
7×	`unpow3_binary64_2531` `pow-plus_binary64_2528` `cube-mult_binary64_2495`
6×	`pow-base-1_binary64_2525` `associate-*l/_binary64_2408`
5×	`log-pow_binary64_2554` `rem-sqrt-square_binary64_2478` `remove-double-div_binary64_2441` `distribute-rgt-out--_binary64_2419` `associate-+r+_binary64_2397`
4×	`unsub-neg_binary64_2459`
3×	`associate--l+_binary64_2402` `associate-+r-_binary64_2399`
2×	`unpow2_binary64_2530` `cube-prod_binary64_2493` `sqr-neg_binary64_2479` `div0_binary64_2446` `distribute-lft-out_binary64_2416` `count-2_binary64_2413` `associate--r+_binary64_2401` `associate-+l+_binary64_2398`
1×	`exp-prod_binary64_2517` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-neg_binary64_2512` `1-exp_binary64_2509` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `rem-square-sqrt_binary64_2477` `-rgt-identity_binary64_2455` `remove-double-neg_binary64_2453` `-inverses_binary64_2445`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-rec_binary64_2553` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `exp-diff_binary64_2513` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `sqr-abs_binary64_2480` `mul-1-neg_binary64_2457` `*-lft-identity_binary64_2454` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `associate--l-_binary64_2403` `associate-+l-_binary64_2400`

Counts

705 → 1656

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1055	26810
1	2019	26064

prune12.1s (14.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1650	6	1656
Fresh	5	18	23
Picked	1	0	1
Done	1	0	1
Total	1657	24	1681

Error

0.6b

Counts

1681 → 24

Compiler

Compiled 120348 to 79662 computations (33.8% saved)

regimes2.5s (3%)

Accuracy

Total 4.6b remaining (88.6%)

Threshold costs 0b (0%)

Compiler

Compiled 47033 to 34552 computations (26.5% saved)

bsearch18.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify27.0ms (0%)

Algorithm

1×	egg-herbie

Rules

43×	`*-commutative_binary64_2396`
40×	`+-commutative_binary64_2395`
35×	`sub-neg_binary64_2458`
32×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
23×	`distribute-rgt-neg-in_binary64_2423`
20×	`distribute-lft-neg-in_binary64_2422`
7×	`unsub-neg_binary64_2459`
6×	`distribute-neg-in_binary64_2426`
5×	`cancel-sign-sub-inv_binary64_2431`
4×	`distribute-neg-frac_binary64_2429`
3×	`distribute-lft-neg-out_binary64_2424`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `unpow1_binary64_2523` `e-exp-1_binary64_2510` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	145
1	94	143
2	139	143
3	188	143
4	241	143
5	281	143
6	311	143
7	326	143
8	331	143
9	332	143

Proof

(if real (<= f64 (/ f64 (+ f64 (neg f64 h0) (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2)))) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h2 h1))) (* f64 h0 h0)) (+ f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) h0)) (* f64 3 h1)) (=> (neg f64 (+ f64 (* f64 9/16 (/ f64 (* f64 (pow f64 h2 3) (pow f64 h1 2)) (pow f64 h0 5))) (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 (pow f64 h2 2) h1) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0))))))))
distribute-neg-in_binary64_2426 =>
(if real (<= f64 (/ f64 (+ f64 (neg f64 h0) (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2)))) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (=> (* f64 h2 h1)))) (* f64 h0 h0)) (+ f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) h0)) (* f64 3 h1)) (+ f64 (neg f64 (* f64 9/16 (/ f64 (* f64 (pow f64 h2 3) (pow f64 h1 2)) (pow f64 h0 5)))) (neg f64 (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 (pow f64 h2 2) h1) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0)))))))
*-commutative_binary64_2396 =>
(if real (<= f64 (/ f64 (+ f64 (neg f64 h0) (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2)))) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h1 h2))) (* f64 h0 h0)) (=> (+ f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) h0))) (* f64 3 h1)) (+ f64 (neg f64 (* f64 9/16 (/ f64 (* f64 (pow f64 h2 3) (pow f64 h1 2)) (pow f64 h0 5)))) (neg f64 (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 (pow f64 h2 2) h1) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0)))))))
+-commutative_binary64_2395 =>
(if real (<= f64 (/ f64 (=> (+ f64 (neg f64 h0) (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))))) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h1 h2))) (* f64 h0 h0)) (+ f64 h0 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))))) (* f64 3 h1)) (+ f64 (neg f64 (* f64 9/16 (/ f64 (* f64 (pow f64 h2 3) (pow f64 h1 2)) (pow f64 h0 5)))) (neg f64 (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 (pow f64 h2 2) h1) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0)))))))
+-commutative_binary64_2395 =>
(if real (<= f64 (/ f64 (+ f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) (neg f64 h0)) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h1 h2))) (* f64 h0 h0)) (+ f64 h0 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))))) (* f64 3 h1)) (=> (+ f64 (neg f64 (* f64 9/16 (/ f64 (* f64 (pow f64 h2 3) (pow f64 h1 2)) (pow f64 h0 5)))) (neg f64 (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 (pow f64 h2 2) h1) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0))))))))
unsub-neg_binary64_2459 =>
(if real (<= f64 (/ f64 (+ f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) (neg f64 h0)) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h1 h2))) (* f64 h0 h0)) (+ f64 h0 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))))) (* f64 3 h1)) (- f64 (neg f64 (* f64 9/16 (/ f64 (* f64 (pow f64 h2 3) (pow f64 h1 2)) (pow f64 h0 5)))) (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (=> (* f64 (pow f64 h2 2) h1)) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0))))))
*-commutative_binary64_2396 =>
(if real (<= f64 (/ f64 (=> (+ f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) (neg f64 h0))) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h1 h2))) (* f64 h0 h0)) (+ f64 h0 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))))) (* f64 3 h1)) (- f64 (neg f64 (* f64 9/16 (/ f64 (* f64 (pow f64 h2 3) (pow f64 h1 2)) (pow f64 h0 5)))) (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 h1 (pow f64 h2 2)) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0))))))
unsub-neg_binary64_2459 =>
(if real (<= f64 (/ f64 (- f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) h0) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h1 h2))) (* f64 h0 h0)) (+ f64 h0 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))))) (* f64 3 h1)) (- f64 (=> (neg f64 (* f64 9/16 (/ f64 (* f64 (pow f64 h2 3) (pow f64 h1 2)) (pow f64 h0 5))))) (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 h1 (pow f64 h2 2)) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0))))))
distribute-rgt-neg-in_binary64_2423 =>
(if real (<= f64 (/ f64 (- f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) h0) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h1 h2))) (* f64 h0 h0)) (+ f64 h0 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))))) (* f64 3 h1)) (- f64 (* f64 9/16 (=> (neg f64 (/ f64 (* f64 (pow f64 h2 3) (pow f64 h1 2)) (pow f64 h0 5))))) (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 h1 (pow f64 h2 2)) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0))))))
distribute-neg-frac_binary64_2429 =>
(if real (<= f64 (/ f64 (- f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) h0) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h1 h2))) (* f64 h0 h0)) (+ f64 h0 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))))) (* f64 3 h1)) (- f64 (* f64 9/16 (/ f64 (neg f64 (=> (* f64 (pow f64 h2 3) (pow f64 h1 2)))) (pow f64 h0 5))) (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 h1 (pow f64 h2 2)) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0))))))
*-commutative_binary64_2396 =>
(if real (<= f64 (/ f64 (- f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) h0) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h1 h2))) (* f64 h0 h0)) (+ f64 h0 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))))) (* f64 3 h1)) (- f64 (* f64 9/16 (/ f64 (=> (neg f64 (* f64 (pow f64 h1 2) (pow f64 h2 3)))) (pow f64 h0 5))) (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 h1 (pow f64 h2 2)) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0))))))
distribute-rgt-neg-in_binary64_2423 =>
(if real (<= f64 (/ f64 (- f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) h0) (* f64 3 h1)) -5555957690949015/4503599627370496) (/ f64 (/ f64 (- f64 (- f64 (* f64 h0 h0) (* f64 3 (* f64 h1 h2))) (* f64 h0 h0)) (+ f64 h0 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))))) (* f64 3 h1)) (- f64 (* f64 9/16 (/ f64 (* f64 (pow f64 h1 2) (neg f64 (pow f64 h2 3))) (pow f64 h0 5))) (+ f64 (* f64 135/128 (/ f64 (* f64 (pow f64 h2 4) (pow f64 h1 3)) (pow f64 h0 7))) (+ f64 (* f64 3/8 (/ f64 (* f64 h1 (pow f64 h2 2)) (pow f64 h0 3))) (* f64 1/2 (/ f64 h2 h0))))))

end0.0ms (0%)

sample6.9s (8.2%)

Algorithm

1×

intervals

Results

522.0ms	7716×	body	128	valid
299.0ms	8970×	pre	128	true
57.0ms	970×	body	128	nan
38.0ms	284×	body	256	valid

Compiler

Compiled 9317 to 6844 computations (26.5% saved)

Iter	Nodes	Cost
0	55	145
1	94	143
2	139	143
3	188	143
4	241	143
5	281	143
6	311	143
7	326	143
8	331	143
9	332	143

Iter	Nodes	Cost
0	55	145
1	94	143
2	139	143
3	188	143
4	241	143
5	281	143
6	311	143
7	326	143
8	331	143
9	332	143

Details

analyze325.0ms (0.4%)

sample43.0ms (0.1%)

simplify6.1s (7.3%)

prune5.0ms (0%)

localize10.0ms (0%)

rewrite92.0ms (0.1%)

series291.0ms (0.3%)

simplify342.0ms (0.4%)

prune321.0ms (0.4%)

localize31.0ms (0%)

rewrite3.7s (4.4%)

series460.0ms (0.5%)

simplify2.8s (3.4%)

prune37.4s (44.7%)

localize37.0ms (0%)

rewrite596.0ms (0.7%)

series342.0ms (0.4%)

simplify440.0ms (0.5%)

prune2.2s (2.6%)

localize37.0ms (0%)

rewrite3.9s (4.7%)

series799.0ms (1%)

simplify1.8s (2.2%)

prune12.1s (14.5%)

regimes2.5s (3%)

bsearch18.0ms (0%)

simplify27.0ms (0%)

end0.0ms (0%)

sample6.9s (8.2%)

Profiling

Iter	Nodes	Cost
0	55	145
1	94	143
2	139	143
3	188	143
4	241	143
5	281	143
6	311	143
7	326	143
8	331	143
9	332	143