Details

analyze281.0ms (0.2%)

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)

sample45.0ms (0%)

Algorithm

1×

intervals

Results

11.0ms	164×	body	128	valid
9.0ms	92×	body	256	valid
8.0ms	281×	pre	128	true
1.0ms	25×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify12.5s (9.1%)

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

prune9.0ms (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

40.8b

Counts

5 → 2

Compiler

Compiled 67 to 49 computations (26.9% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(-.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))
0.3b	(.f64 (.f64 3 a) c)
38.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite156.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

39.9b

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×	`associate-l_binary64_2406` `-commutative_binary64_2396` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r_binary64_2409`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
11.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series961.0ms (0.7%)

Error

0.6b

Counts

4 → 60

Calls

4 calls:

316.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
244.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
241.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
84.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify428.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

713×	`associate-/l*_binary64_2410`
280×	`distribute-rgt-in_binary64_2415`
240×	`distribute-lft-in_binary64_2414`
233×	`distribute-rgt-neg-in_binary64_2423`
210×	`distribute-lft-neg-in_binary64_2422`
193×	`associate-l_binary64_2406`
191×	`associate-r_binary64_2405`
187×	`cancel-sign-sub-inv_binary64_2431`
174×	`associate-/r/_binary64_2411`
173×	`associate-/l/_binary64_2412`
99×	`*-commutative_binary64_2396`
96×	`unswap-sqr_binary64_2433`
86×	`times-frac_binary64_2471`
82×	`neg-sub0_binary64_2460`
81×	`sub-neg_binary64_2458` `associate-/r*_binary64_2409`
80×	`neg-mul-1_binary64_2461` `distribute-neg-frac_binary64_2429`
75×	`sqr-pow_binary64_2437`
63×	`distribute-neg-in_binary64_2426`
60×	`div-sub_binary64_2470` `distribute-lft-neg-out_binary64_2424`
59×	`exp-prod_binary64_2517`
43×	`distribute-rgt-neg-out_binary64_2425`
39×	`+-commutative_binary64_2395`
35×	`pow-sqr_binary64_2438`
33×	`associate-*l/_binary64_2408`
31×	`distribute-rgt-out_binary64_2418`
30×	`cube-prod_binary64_2493`
29×	`associate-*r/_binary64_2407`
24×	`associate-+r+_binary64_2397`
23×	`log-prod_binary64_2551`
22×	`associate-+l+_binary64_2398`
21×	`unsub-neg_binary64_2459`
17×	`pow-plus_binary64_2528` `swap-sqr_binary64_2432` `distribute-lft-out_binary64_2416`
16×	`*-rgt-identity_binary64_2455`
14×	`*-lft-identity_binary64_2454`
13×	`associate--r+_binary64_2401`
12×	`unpow3_binary64_2531`
10×	`cube-mult_binary64_2495`
9×	`/-rgt-identity_binary64_2456` `difference-of-squares_binary64_2434`
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×	`cube-div_binary64_2494`
3×	`unpow2_binary64_2530` `unpow1_binary64_2523` `exp-lft-cube_binary64_2521` `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 → 392

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	3228
1	586	3017
2	2250	2992

prune837.0ms (0.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	376	16	392
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	378	16	394

Error

0.4b

Counts

394 → 16

Compiler

Compiled 11732 to 6706 computations (42.8% saved)

localize34.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c))
0.4b	(/.f64 (.f64 (.f64 9/16 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))
0.4b	(.f64 (.f64 9/16 (*.f64 a a)) (pow.f64 c 3))

rewrite7.6s (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

1320×	`times-frac_binary64_2471`
727×	`unpow-prod-down_binary64_2544`
580×	`add-sqr-sqrt_binary64_2487`
572×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
243×	`sqr-pow_binary64_2437`
206×	`add-exp-log_binary64_2503`
175×	`cube-prod_binary64_2493`
93×	`div-exp_binary64_2516`
84×	`prod-exp_binary64_2514`
60×	`associate-/r*_binary64_2409`
58×	`unpow3_binary64_2531` `cube-mult_binary64_2495`
52×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
44×	`add-cbrt-cube_binary64_2501`
41×	`associate-l_binary64_2406`
18×	`cbrt-unprod_binary64_2498`
16×	`div-inv_binary64_2462`
13×	`associate-r_binary64_2405` `associate-/l*_binary64_2410`
9×	`pow1_binary64_2526` `cbrt-undiv_binary64_2499`
5×	`unswap-sqr_binary64_2433`
4×	`add-log-exp_binary64_2504`
3×	`pow-prod-down_binary64_2536`
2×	`*-commutative_binary64_2396` `frac-2neg_binary64_2476` `clear-num_binary64_2464`
1×	`associate-/r/_binary64_2411` `associate-*l/_binary64_2408`

Counts

4 → 905

Calls

4 calls:

27.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))
19.0ms	(/.f64 (.f64 (.f64 9/16 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5))
14.0ms	(.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c))
11.0ms	(.f64 (.f64 9/16 (*.f64 a a)) (pow.f64 c 3))

Compiler

Compiled 55704 to 36650 computations (34.2% saved)

series1.6s (1.1%)

Error

0.4b

Counts

4 → 33

Calls

4 calls:

512.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))
465.0ms	(/.f64 (.f64 (.f64 9/16 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5))
318.0ms	(.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c))
185.0ms	(.f64 (.f64 9/16 (*.f64 a a)) (pow.f64 c 3))

Compiler

Compiled 4554 to 3468 computations (23.8% saved)

simplify3.7s (2.7%)

Algorithm

1×	egg-herbie

Rules

795×	`associate-/l/_binary64_2412`
740×	`associate-/r/_binary64_2411`
667×	`times-frac_binary64_2471`
647×	`associate-/r*_binary64_2409`
121×	`unswap-sqr_binary64_2433`
97×	`associate-/l*_binary64_2410`
71×	`sqr-pow_binary64_2437`
51×	`*-commutative_binary64_2396`
50×	`pow-sqr_binary64_2438`
44×	`associate-r_binary64_2405`
40×	`log-prod_binary64_2551`
35×	`associate-l_binary64_2406`
28×	`associate-*l/_binary64_2408`
26×	`sub-neg_binary64_2458`
24×	`swap-sqr_binary64_2432` `distribute-rgt-neg-in_binary64_2423`
21×	`cancel-sign-sub-inv_binary64_2431` `distribute-lft-neg-in_binary64_2422`
16×	`log-div_binary64_2552` `cube-unmult_binary64_2502`
15×	`exp-prod_binary64_2517`
14×	`/-rgt-identity_binary64_2456`
13×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
12×	`unpow3_binary64_2531` `cube-mult_binary64_2495`
9×	`log-pow_binary64_2554` `associate-*r/_binary64_2407`
8×	`pow-plus_binary64_2528` `pow-base-1_binary64_2525` `rem-sqrt-square_binary64_2478` `associate--r-_binary64_2404`
6×	`cube-prod_binary64_2493` `distribute-neg-frac_binary64_2429`
5×	`remove-double-div_binary64_2441`
4×	`associate--l+_binary64_2402`
3×	`rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `rem-square-sqrt_binary64_2477` `distribute-lft-neg-out_binary64_2424` `associate-+r+_binary64_2397` `+-commutative_binary64_2395`
2×	`unpow2_binary64_2530` `distribute-neg-in_binary64_2426` `count-2_binary64_2413` `associate-+l-_binary64_2400` `associate-+l+_binary64_2398`
1×	`div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `1-exp_binary64_2509` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `*-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-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-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `div-sub_binary64_2470` `unsub-neg_binary64_2459` `mul-1-neg_binary64_2457` `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-+r-_binary64_2399`

Counts

938 → 3194

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1196	29518
1	1856	29115

prune1.3min (55.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	3193	1	3194
Fresh	0	15	15
Picked	1	0	1
Done	0	0	0
Total	3194	16	3210

Error

0.4b

Counts

3210 → 16

Compiler

Compiled 194800 to 125477 computations (35.6% saved)

localize35.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite2.4s (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

216×	`times-frac_binary64_2471`
164×	`add-sqr-sqrt_binary64_2487`
146×	`unpow-prod-down_binary64_2544`
130×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
129×	`associate-l_binary64_2406`
94×	`add-exp-log_binary64_2503`
61×	`cube-prod_binary64_2493`
54×	`sqr-pow_binary64_2437`
43×	`prod-exp_binary64_2514`
37×	`add-cbrt-cube_binary64_2501`
31×	`associate-r_binary64_2405`
27×	`div-exp_binary64_2516`
19×	`unpow3_binary64_2531` `cube-mult_binary64_2495`
17×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433`
15×	`pow1_binary64_2526`
12×	`associate-/l*_binary64_2410`
7×	`pow-prod-down_binary64_2536` `associate-/r*_binary64_2409` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
5×	`cbrt-undiv_binary64_2499`
4×	`add-log-exp_binary64_2504`
3×	`div-inv_binary64_2462` `*-commutative_binary64_2396`
2×	`associate-*l/_binary64_2408`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `distribute-rgt-neg-out_binary64_2425` `neg-mul-1_binary64_2461`

Counts

4 → 369

Calls

4 calls:

41.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (neg.f64 (pow.f64 c 4)))
18.0ms	(.f64 (/.f64 3/8 (pow.f64 b 3)) (.f64 a (*.f64 c c)))
13.0ms	(/.f64 (pow.f64 a 3) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 20725 to 13641 computations (34.2% saved)

series1.4s (1%)

Error

0.4b

Counts

4 → 30

Calls

4 calls:

519.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (neg.f64 (pow.f64 c 4)))
359.0ms	(.f64 (/.f64 3/8 (pow.f64 b 3)) (.f64 a (*.f64 c c)))
242.0ms	(/.f64 (pow.f64 a 3) (pow.f64 b 7))
171.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4167 to 3162 computations (24.1% saved)

simplify836.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-r_binary64_2405`
616×	`associate-l_binary64_2406`
345×	`associate-/l*_binary64_2410`
334×	`times-frac_binary64_2471`
281×	`associate-*l/_binary64_2408`
250×	`associate-/r*_binary64_2409`
137×	`associate-*r/_binary64_2407`
117×	`*-commutative_binary64_2396`
115×	`unswap-sqr_binary64_2433`
80×	`associate-/l/_binary64_2412`
76×	`distribute-rgt-neg-out_binary64_2425`
62×	`neg-sub0_binary64_2460`
61×	`neg-mul-1_binary64_2461`
60×	`distribute-lft-neg-in_binary64_2422`
57×	`sqr-pow_binary64_2437`
52×	`distribute-lft-neg-out_binary64_2424`
41×	`pow-sqr_binary64_2438`
40×	`log-prod_binary64_2551`
30×	`associate-/r/_binary64_2411`
26×	`swap-sqr_binary64_2432`
24×	`distribute-rgt-neg-in_binary64_2423`
22×	`exp-prod_binary64_2517`
19×	`sub-neg_binary64_2458`
14×	`cube-unmult_binary64_2502`
13×	`cancel-sign-sub-inv_binary64_2431`
12×	`unpow3_binary64_2531` `cube-mult_binary64_2495`
10×	`log-div_binary64_2552`
9×	`distribute-neg-frac_binary64_2429`
7×	`log-pow_binary64_2554` `pow-plus_binary64_2528` `rem-sqrt-square_binary64_2478` `/-rgt-identity_binary64_2456`
6×	`pow-base-1_binary64_2525` `cube-prod_binary64_2493` `associate-+l-_binary64_2400`
5×	`*-rgt-identity_binary64_2455` `distribute-frac-neg_binary64_2428`
4×	`+-commutative_binary64_2395`
3×	`rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `rem-square-sqrt_binary64_2477` `associate-+r+_binary64_2397`
2×	`unpow2_binary64_2530` `sqr-neg_binary64_2479` `*-lft-identity_binary64_2454` `count-2_binary64_2413` `associate-+l+_binary64_2398`
1×	`div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-neg_binary64_2512` `1-exp_binary64_2509` `mul-1-neg_binary64_2457` `*-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` `div-sub_binary64_2470` `unsub-neg_binary64_2459` `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` `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-neg-in_binary64_2426` `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--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+r-_binary64_2399`

Counts

399 → 569

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	460	7944
1	1026	7511

prune3.6s (2.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	569	0	569
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	569	16	585

Error

0.4b

Counts

585 → 16

Compiler

Compiled 31835 to 20810 computations (34.6% saved)

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (.f64 (.f64 (/.f64 a b) c) (neg.f64 3/2)) (+.f64 (.f64 9/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))) (+.f64 (.f64 27/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))) (/.f64 (.f64 (pow.f64 a 4) 405/128) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))))) (.f64 3 a))
0.4b	(.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (*.f64 c c))
0.4b	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) 405/128) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))

rewrite3.5s (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

302×	`times-frac_binary64_2471`
232×	`add-sqr-sqrt_binary64_2487`
229×	`add-exp-log_binary64_2503`
189×	`unpow-prod-down_binary64_2544`
117×	`div-exp_binary64_2516` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
104×	`associate-l_binary64_2406`
91×	`sqr-pow_binary64_2437`
88×	`prod-exp_binary64_2514`
66×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
57×	`unswap-sqr_binary64_2433`
54×	`associate-/r*_binary64_2409`
53×	`cube-prod_binary64_2493`
47×	`add-cbrt-cube_binary64_2501`
16×	`cbrt-unprod_binary64_2498` `associate-*l/_binary64_2408`
13×	`cbrt-undiv_binary64_2499` `associate-r_binary64_2405`
9×	`pow1_binary64_2526` `unpow3_binary64_2531` `cube-mult_binary64_2495`
7×	`associate-/l/_binary64_2412`
6×	`div-inv_binary64_2462`
5×	`frac-sub_binary64_2474`
4×	`add-log-exp_binary64_2504` `associate-/l_binary64_2410` `associate-r/_binary64_2407` `frac-add_binary64_2473`
3×	`pow-prod-down_binary64_2536`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `*-commutative_binary64_2396` `flip3-+_binary64_2468` `flip-+_binary64_2439`
1×	`associate-/r/_binary64_2411` `div-sub_binary64_2470` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

4 → 437

Calls

4 calls:

67.0ms	(/.f64 (-.f64 (.f64 (.f64 (/.f64 a b) c) (neg.f64 3/2)) (+.f64 (.f64 9/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))) (+.f64 (.f64 27/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))) (/.f64 (.f64 (pow.f64 a 4) 405/128) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))))) (.f64 3 a))
32.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
19.0ms	(/.f64 (*.f64 (pow.f64 a 4) 405/128) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))
14.0ms	(.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (*.f64 c c))

Compiler

Compiled 30092 to 19777 computations (34.3% saved)

series2.0s (1.5%)

Error

0.4b

Counts

4 → 48

Calls

4 calls:

564.0ms	(/.f64 (*.f64 (pow.f64 a 4) 405/128) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))
482.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
465.0ms	(/.f64 (-.f64 (.f64 (.f64 (/.f64 a b) c) (neg.f64 3/2)) (+.f64 (.f64 9/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))) (+.f64 (.f64 27/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))) (/.f64 (.f64 (pow.f64 a 4) 405/128) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))))) (.f64 3 a))
372.0ms	(.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (*.f64 c c))

Compiler

Compiled 5452 to 4165 computations (23.6% saved)

simplify1.4s (1%)

Algorithm

1×	egg-herbie

Rules

751×	`associate-/l*_binary64_2410`
528×	`times-frac_binary64_2471`
283×	`associate-/l/_binary64_2412`
238×	`associate-/r/_binary64_2411`
142×	`*-commutative_binary64_2396`
94×	`unswap-sqr_binary64_2433`
91×	`associate-*l/_binary64_2408`
84×	`distribute-rgt-in_binary64_2415`
70×	`distribute-lft-in_binary64_2414`
68×	`sqr-pow_binary64_2437`
52×	`sub-neg_binary64_2458`
48×	`associate-r_binary64_2405`
47×	`pow-sqr_binary64_2438` `associate-l_binary64_2406`
44×	`cancel-sign-sub-inv_binary64_2431`
36×	`distribute-rgt-neg-in_binary64_2423`
33×	`log-prod_binary64_2551`
32×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `swap-sqr_binary64_2432` `distribute-lft-neg-in_binary64_2422`
22×	`distribute-neg-in_binary64_2426`
21×	`cube-unmult_binary64_2502` `associate-/r*_binary64_2409`
19×	`associate-*r/_binary64_2407`
16×	`log-div_binary64_2552`
15×	`distribute-lft-neg-out_binary64_2424` `+-commutative_binary64_2395`
11×	`unpow3_binary64_2531` `cube-mult_binary64_2495`
10×	`distribute-neg-frac_binary64_2429` `distribute-rgt-neg-out_binary64_2425` `associate--l+_binary64_2402` `associate-+l-_binary64_2400`
9×	`log-pow_binary64_2554` `div-sub_binary64_2470` `/-rgt-identity_binary64_2456`
8×	`exp-prod_binary64_2517` `rem-sqrt-square_binary64_2478` `associate--r-_binary64_2404`
7×	`pow-plus_binary64_2528` `cube-prod_binary64_2493` `associate-+r+_binary64_2397`
6×	`pow-base-1_binary64_2525`
4×	`unsub-neg_binary64_2459` `distribute-frac-neg_binary64_2428`
3×	`rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `rem-square-sqrt_binary64_2477` `associate--r+_binary64_2401`
2×	`unpow2_binary64_2530` `sqr-neg_binary64_2479` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `distribute-rgt-out--_binary64_2419` `count-2_binary64_2413` `associate-+r-_binary64_2399`
1×	`div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `1-exp_binary64_2509` `*-inverses_binary64_2445` `distribute-neg-out_binary64_2427` `distribute-rgt-out_binary64_2418`
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-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-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` `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` `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-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `associate--l-_binary64_2403` `associate-+l+_binary64_2398`

Counts

485 → 1196

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	740	14779
1	1684	13825

prune11.2s (8.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1192	4	1196
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	1194	18	1212

Error

0.4b

Counts

1212 → 18

Compiler

Compiled 82702 to 54257 computations (34.4% saved)

regimes2.0s (1.5%)

Accuracy

Total 2.6b remaining (89.7%)

Threshold costs 0b (0%)

Compiler

Compiled 24803 to 18247 computations (26.4% saved)

bsearch0.0ms (0%)

simplify14.0ms (0%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64_2396`
24×	`+-commutative_binary64_2395`
21×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `sub-neg_binary64_2458`
12×	`distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
6×	`unsub-neg_binary64_2459` `distribute-neg-in_binary64_2426`
4×	`distribute-neg-frac_binary64_2429`
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-inv_binary64_2431` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-out_binary64_2424`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	69
1	50	69
2	68	69
3	96	69
4	132	69
5	160	69
6	187	69
7	202	69
8	208	69
9	210	69

Proof

(=> (neg f64 (+ f64 (+ f64 (* f64 (/ f64 h0 h1) 1/2) (+ f64 (* f64 3/8 (/ f64 (* f64 h2 (* f64 h0 h0)) (pow f64 h1 3))) (* f64 9/16 (/ f64 (* f64 h2 h2) (/ f64 (pow f64 h1 5) (pow f64 h0 3)))))) (* f64 135/128 (/ f64 (pow f64 h2 3) (/ f64 (pow f64 h1 7) (pow f64 h0 4)))))))
distribute-neg-in_binary64_2426 =>
(=> (+ f64 (neg f64 (+ f64 (* f64 (/ f64 h0 h1) 1/2) (+ f64 (* f64 3/8 (/ f64 (* f64 h2 (* f64 h0 h0)) (pow f64 h1 3))) (* f64 9/16 (/ f64 (* f64 h2 h2) (/ f64 (pow f64 h1 5) (pow f64 h0 3))))))) (neg f64 (* f64 135/128 (/ f64 (pow f64 h2 3) (/ f64 (pow f64 h1 7) (pow f64 h0 4)))))))
unsub-neg_binary64_2459 =>
(- f64 (=> (neg f64 (+ f64 (* f64 (/ f64 h0 h1) 1/2) (+ f64 (* f64 3/8 (/ f64 (* f64 h2 (* f64 h0 h0)) (pow f64 h1 3))) (* f64 9/16 (/ f64 (* f64 h2 h2) (/ f64 (pow f64 h1 5) (pow f64 h0 3)))))))) (* f64 135/128 (/ f64 (pow f64 h2 3) (/ f64 (pow f64 h1 7) (pow f64 h0 4)))))
distribute-neg-in_binary64_2426 =>
(- f64 (=> (+ f64 (neg f64 (* f64 (/ f64 h0 h1) 1/2)) (neg f64 (+ f64 (* f64 3/8 (/ f64 (* f64 h2 (* f64 h0 h0)) (pow f64 h1 3))) (* f64 9/16 (/ f64 (* f64 h2 h2) (/ f64 (pow f64 h1 5) (pow f64 h0 3)))))))) (* f64 135/128 (/ f64 (pow f64 h2 3) (/ f64 (pow f64 h1 7) (pow f64 h0 4)))))
unsub-neg_binary64_2459 =>
(- f64 (- f64 (=> (neg f64 (* f64 (/ f64 h0 h1) 1/2))) (+ f64 (* f64 3/8 (/ f64 (* f64 h2 (* f64 h0 h0)) (pow f64 h1 3))) (* f64 9/16 (/ f64 (* f64 h2 h2) (/ f64 (pow f64 h1 5) (pow f64 h0 3)))))) (* f64 135/128 (/ f64 (pow f64 h2 3) (/ f64 (pow f64 h1 7) (pow f64 h0 4)))))
distribute-rgt-neg-in_binary64_2423 =>
(- f64 (- f64 (* f64 (/ f64 h0 h1) (neg f64 1/2)) (+ f64 (* f64 3/8 (/ f64 (* f64 h2 (* f64 h0 h0)) (pow f64 h1 3))) (* f64 9/16 (/ f64 (* f64 h2 h2) (/ f64 (pow f64 h1 5) (pow f64 h0 3)))))) (* f64 135/128 (/ f64 (pow f64 h2 3) (/ f64 (pow f64 h1 7) (pow f64 h0 4)))))

end0.0ms (0%)

sample4.8s (3.5%)

Algorithm

1×

intervals

Results

307.0ms	2940×	body	256	valid
277.0ms	5060×	body	128	valid
271.0ms	8888×	pre	128	true
46.0ms	888×	body	128	nan

Compiler

Compiled 4844 to 3570 computations (26.3% saved)

Details

analyze281.0ms (0.2%)

sample45.0ms (0%)

simplify12.5s (9.1%)

prune9.0ms (0%)

localize10.0ms (0%)

rewrite156.0ms (0.1%)

series961.0ms (0.7%)

simplify428.0ms (0.3%)

prune837.0ms (0.6%)

localize34.0ms (0%)

rewrite7.6s (5.5%)

series1.6s (1.1%)

simplify3.7s (2.7%)

prune1.3min (55.2%)

localize35.0ms (0%)

rewrite2.4s (1.8%)

series1.4s (1%)

simplify836.0ms (0.6%)

prune3.6s (2.6%)

localize38.0ms (0%)

rewrite3.5s (2.5%)

series2.0s (1.5%)

simplify1.4s (1%)

prune11.2s (8.2%)

regimes2.0s (1.5%)

bsearch0.0ms (0%)

simplify14.0ms (0%)

end0.0ms (0%)

sample4.8s (3.5%)

Profiling