Details

analyze469.0ms (2.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample45.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	38×	body	2048	valid
8.0ms	164×	body	128	valid
4.0ms	23×	body	1024	valid
4.0ms	13×	body	4096	valid
2.0ms	11×	body	512	valid
1.0ms	22×	body	128	nan
1.0ms	18×	body	128	invalid
1.0ms	7×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify440.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1261×	`associate-/l*_binary64_2410`
1150×	`div-sub_binary64_2470`
772×	`distribute-rgt-in_binary64_2415`
702×	`distribute-lft-in_binary64_2414`
619×	`times-frac_binary64_2471`
576×	`associate-/r*_binary64_2409`
479×	`associate-/r/_binary64_2411`
467×	`cancel-sign-sub-inv_binary64_2431`
429×	`*-commutative_binary64_2396`
426×	`sub-neg_binary64_2458`
423×	`unsub-neg_binary64_2459`
407×	`associate-/l/_binary64_2412`
225×	`distribute-rgt-neg-in_binary64_2423`
208×	`distribute-rgt-out--_binary64_2419`
201×	`neg-mul-1_binary64_2461`
197×	`distribute-lft-neg-in_binary64_2422`
192×	`distribute-neg-frac_binary64_2429`
188×	`associate-*l/_binary64_2408`
163×	`neg-sub0_binary64_2460`
156×	`distribute-rgt-out_binary64_2418`
136×	`distribute-rgt-neg-out_binary64_2425`
121×	`associate--r+_binary64_2401`
112×	`+-commutative_binary64_2395`
99×	`distribute-lft-neg-out_binary64_2424`
80×	`distribute-lft-out_binary64_2416`
77×	`associate--r-_binary64_2404`
73×	`distribute-frac-neg_binary64_2428`
72×	`distribute-lft-out--_binary64_2417`
68×	`*-lft-identity_binary64_2454` `distribute-neg-out_binary64_2427`
66×	`associate-*r/_binary64_2407`
62×	`mul0-rgt_binary64_2448`
60×	`associate-r_binary64_2405`
59×	`associate--l-_binary64_2403`
55×	`div0_binary64_2446`
54×	`mul0-lft_binary64_2447`
51×	`associate-l_binary64_2406`
33×	`remove-double-neg_binary64_2453`
32×	`associate-+r-_binary64_2399`
30×	`+-lft-identity_binary64_2449`
28×	`/-rgt-identity_binary64_2456` `associate--l+_binary64_2402`
27×	`remove-double-div_binary64_2441`
22×	`distribute-neg-in_binary64_2426`
19×	`sub0-neg_binary64_2452` `--rgt-identity_binary64_2451`
17×	`*-rgt-identity_binary64_2455`
14×	`mul-1-neg_binary64_2457` `associate-+l+_binary64_2398`
13×	`associate-+l-_binary64_2400`
7×	`associate-+r+_binary64_2397`
5×	`+-rgt-identity_binary64_2450`
3×	`swap-sqr_binary64_2432`
1×	`1-exp_binary64_2509` `sqr-neg_binary64_2479`
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` `pow-plus_binary64_2528` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `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-prod_binary64_2517` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `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-unmult_binary64_2502` `cube-mult_binary64_2495` `cube-div_binary64_2494` `cube-prod_binary64_2493` `cube-neg_binary64_2492` `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` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `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` `unswap-sqr_binary64_2433` `cancel-sign-sub_binary64_2430` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	32	24
2	65	24
3	128	24
4	178	24
5	287	24
6	460	24
7	754	24
8	1120	24
9	1142	24
10	1799	24
11	2162	24
12	1953	24
13	2041	24
14	2105	24
15	2131	24
16	2843	24
17	2603	24
18	2841	24
19	2951	24
20	3071	24
21	3113	24
22	3183	24
23	3171	24
24	3171	24
25	2191	24
26	2141	24
27	2105	24
28	2107	24
29	2107	24
30	2107	24
31	2107	24
32	1834	24

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

35.5b

Counts

3 → 1

Compiler

Compiled 49 to 36 computations (26.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite151.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

35.2b

Rules

21×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`sqrt-prod_binary64_2481` `difference-of-squares_binary64_2434` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`flip3--_binary64_2469` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`
3×	`distribute-lft-out--_binary64_2417`
2×	`sqrt-div_binary64_2482` `diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l/_binary64_2412`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r*_binary64_2409`

Counts

4 → 74

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
7.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series754.0ms (4.4%)

Error

5.9b

Counts

4 → 72

Calls

4 calls:

211.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
160.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
159.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
154.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3270 to 2476 computations (24.3% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-/l*_binary64_2410`
559×	`associate-/r*_binary64_2409`
225×	`cancel-sign-sub-inv_binary64_2431`
188×	`distribute-rgt-in_binary64_2415`
180×	`distribute-lft-in_binary64_2414`
176×	`distribute-rgt-neg-in_binary64_2423`
160×	`distribute-lft-neg-in_binary64_2422`
123×	`sub-neg_binary64_2458`
105×	`associate-r_binary64_2405`
99×	`associate-/l/_binary64_2412`
97×	`associate-l_binary64_2406`
94×	`associate-/r/_binary64_2411`
92×	`*-commutative_binary64_2396`
83×	`times-frac_binary64_2471`
62×	`neg-sub0_binary64_2460` `distribute-neg-frac_binary64_2429`
60×	`neg-mul-1_binary64_2461` `+-commutative_binary64_2395`
58×	`div-sub_binary64_2470` `unswap-sqr_binary64_2433`
49×	`sqr-pow_binary64_2437`
46×	`exp-prod_binary64_2517`
35×	`distribute-rgt-out_binary64_2418`
31×	`distribute-lft-neg-out_binary64_2424`
29×	`associate-*l/_binary64_2408`
28×	`associate-*r/_binary64_2407`
27×	`associate--l+_binary64_2402`
21×	`cube-prod_binary64_2493`
18×	`distribute-lft-out_binary64_2416`
17×	`distribute-neg-in_binary64_2426`
16×	`unsub-neg_binary64_2459` `associate--r+_binary64_2401`
15×	`distribute-rgt-neg-out_binary64_2425`
14×	`swap-sqr_binary64_2432`
13×	`associate-+l+_binary64_2398`
11×	`associate-+r-_binary64_2399`
10×	`+-rgt-identity_binary64_2450`
9×	`difference-of-squares_binary64_2434`
8×	`unpow3_binary64_2531` `exp-sum_binary64_2511` `cube-mult_binary64_2495`
7×	`exp-diff_binary64_2513` `associate-+r+_binary64_2397`
6×	`cube-unmult_binary64_2502`
5×	`mul-1-neg_binary64_2457` `distribute-lft-out--_binary64_2417`
4×	`log-div_binary64_2552` `pow-plus_binary64_2528` `rem-sqrt-square_binary64_2478`
3×	`log-prod_binary64_2551` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `exp-sqrt_binary64_2518` `rem-square-sqrt_binary64_2477` `pow-sqr_binary64_2438` `distribute-rgt-out--_binary64_2419` `associate-+l-_binary64_2400`
2×	`div-exp_binary64_2516` `cube-div_binary64_2494`
1×	`log-pow_binary64_2554` `exp-lft-sqr_binary64_2520` `1-exp_binary64_2509` `rem-3cbrt-lft_binary64_2490` `remove-double-neg_binary64_2453` `div0_binary64_2446` `*-inverses_binary64_2445` `cancel-sign-sub_binary64_2430` `distribute-neg-out_binary64_2427` `count-2_binary64_2413` `associate--r-_binary64_2404` `associate--l-_binary64_2403`
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` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-neg_binary64_2512` `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-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `/-rgt-identity_binary64_2456` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-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` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `distribute-frac-neg_binary64_2428` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420`

Counts

146 → 222

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	3240
1	581	3002
2	1801	2996
3	5089	2996

prune294.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	212	10	222
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	212	11	223

Error

5.9b

Counts

223 → 11

Compiler

Compiled 5977 to 3261 computations (45.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite1.0s (5.9%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

693×	`times-frac_binary64_2471`
439×	`add-sqr-sqrt_binary64_2487`
364×	`*-un-lft-identity_binary64_2465`
290×	`add-cube-cbrt_binary64_2500`
74×	`difference-of-squares_binary64_2434`
71×	`associate-/r*_binary64_2409`
40×	`sqrt-prod_binary64_2481`
37×	`distribute-lft-out--_binary64_2417`
25×	`add-exp-log_binary64_2503`
17×	`div-inv_binary64_2462`
15×	`div-exp_binary64_2516`
13×	`add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504`
6×	`pow1_binary64_2526` `cbrt-undiv_binary64_2499`
5×	`associate-/r/_binary64_2411`
4×	`cancel-sign-sub-inv_binary64_2431`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `1-exp_binary64_2509` `rec-exp_binary64_2515` `associate-/l*_binary64_2410`
2×	`sqrt-div_binary64_2482` `diff-log_binary64_2557` `sub-neg_binary64_2458`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `frac-2neg_binary64_2476` `clear-num_binary64_2464`

Counts

4 → 356

Calls

4 calls:

26.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 14021 to 8305 computations (40.8% saved)

series755.0ms (4.4%)

Error

5.9b

Counts

4 → 72

Calls

4 calls:

213.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
165.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
163.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
150.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3540 to 2746 computations (22.4% saved)

simplify486.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

476×	`associate-/r/_binary64_2411`
327×	`associate-*l/_binary64_2408`
326×	`*-commutative_binary64_2396`
279×	`associate-/l/_binary64_2412`
268×	`associate-*r/_binary64_2407`
210×	`associate-/r*_binary64_2409`
203×	`associate-/l*_binary64_2410`
160×	`associate-r_binary64_2405`
134×	`sub-neg_binary64_2458`
124×	`times-frac_binary64_2471`
113×	`div-sub_binary64_2470`
94×	`associate-l_binary64_2406`
83×	`exp-prod_binary64_2517`
76×	`*-rgt-identity_binary64_2455`
66×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
65×	`+-commutative_binary64_2395`
61×	`unswap-sqr_binary64_2433`
55×	`cancel-sign-sub-inv_binary64_2431`
52×	`cube-prod_binary64_2493`
49×	`sqr-pow_binary64_2437`
37×	`distribute-rgt-in_binary64_2415`
35×	`distribute-rgt-neg-in_binary64_2423` `distribute-lft-in_binary64_2414`
31×	`distribute-lft-neg-in_binary64_2422`
27×	`associate--l+_binary64_2402`
26×	`log-div_binary64_2552` `log-prod_binary64_2551`
25×	`*-lft-identity_binary64_2454` `remove-double-div_binary64_2441`
22×	`cube-div_binary64_2494`
21×	`unpow3_binary64_2531`
20×	`unsub-neg_binary64_2459`
19×	`exp-sum_binary64_2511` `/-rgt-identity_binary64_2456`
18×	`cube-mult_binary64_2495` `associate--r+_binary64_2401`
16×	`associate-+r-_binary64_2399` `associate-+r+_binary64_2397`
13×	`exp-diff_binary64_2513` `associate-+l+_binary64_2398`
11×	`+-rgt-identity_binary64_2450` `distribute-neg-in_binary64_2426`
10×	`cube-unmult_binary64_2502`
9×	`difference-of-squares_binary64_2434`
8×	`swap-sqr_binary64_2432` `distribute-neg-frac_binary64_2429`
7×	`log-rec_binary64_2553` `pow-plus_binary64_2528`
6×	`rem-sqrt-square_binary64_2478` `mul-1-neg_binary64_2457`
5×	`distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417`
4×	`unpow2_binary64_2530` `distribute-lft-neg-out_binary64_2424`
3×	`unpow1/2_binary64_2529` `unpow1_binary64_2523` `rem-square-sqrt_binary64_2477` `pow-sqr_binary64_2438` `associate--r-_binary64_2404` `associate-+l-_binary64_2400`
2×	`log-pow_binary64_2554` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `+-lft-identity_binary64_2449`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-lft_binary64_2490` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `div0_binary64_2446` `*-inverses_binary64_2445` `distribute-rgt-neg-out_binary64_2425` `distribute-rgt-out--_binary64_2419` `distribute-lft-out_binary64_2416` `associate--l-_binary64_2403`
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` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `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` `--rgt-identity_binary64_2451` `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` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413`

Counts

428 → 1182

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	528	18344
1	1289	17496
2	4477	17303
3	4721	17303
4	4964	17303

prune3.9s (22.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1181	1	1182
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	1181	12	1193

Error

5.9b

Counts

1193 → 12

Compiler

Compiled 43690 to 24382 computations (44.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite134.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

18×	`add-sqr-sqrt_binary64_2487`
12×	`*-un-lft-identity_binary64_2465`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `cancel-sign-sub-inv_binary64_2431`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `sqrt-div_binary64_2482` `flip--_binary64_2440` `difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `diff-log_binary64_2557` `sub-neg_binary64_2458` `distribute-lft-out--_binary64_2417`

Counts

4 → 64

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2732 to 1506 computations (44.9% saved)

series759.0ms (4.4%)

Error

5.9b

Counts

4 → 74

Calls

4 calls:

170.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
169.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
164.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
161.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 6506 to 4474 computations (31.2% saved)

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

609×	`times-frac_binary64_2471`
402×	`distribute-neg-frac_binary64_2429`
263×	`associate-/l*_binary64_2410`
252×	`associate-/r*_binary64_2409`
220×	`*-commutative_binary64_2396`
202×	`unswap-sqr_binary64_2433`
179×	`sub-neg_binary64_2458`
168×	`cancel-sign-sub-inv_binary64_2431`
167×	`distribute-rgt-neg-in_binary64_2423`
155×	`distribute-lft-neg-in_binary64_2422`
130×	`neg-mul-1_binary64_2461`
128×	`neg-sub0_binary64_2460`
88×	`+-commutative_binary64_2395`
81×	`associate-*l/_binary64_2408`
77×	`associate-r_binary64_2405`
72×	`sqr-pow_binary64_2437`
63×	`associate-*r/_binary64_2407`
62×	`associate-l_binary64_2406`
59×	`unsub-neg_binary64_2459`
48×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
45×	`associate-+l+_binary64_2398`
44×	`associate-+r+_binary64_2397`
41×	`associate-+l-_binary64_2400`
37×	`distribute-rgt-out_binary64_2418`
35×	`div-sub_binary64_2470` `associate--l+_binary64_2402` `associate-+r-_binary64_2399`
34×	`difference-of-squares_binary64_2434` `associate-/r/_binary64_2411`
30×	`swap-sqr_binary64_2432`
27×	`cube-prod_binary64_2493`
25×	`+-rgt-identity_binary64_2450`
23×	`sub0-neg_binary64_2452`
22×	`exp-prod_binary64_2517`
18×	`exp-sum_binary64_2511`
16×	`unpow3_binary64_2531` `distribute-lft-neg-out_binary64_2424`
13×	`cube-mult_binary64_2495` `associate--r+_binary64_2401`
12×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
10×	`distribute-lft-out_binary64_2416`
7×	`rem-sqrt-square_binary64_2478` `distribute-rgt-neg-out_binary64_2425`
6×	`exp-diff_binary64_2513` `cube-unmult_binary64_2502` `distribute-neg-in_binary64_2426`
5×	`pow-plus_binary64_2528` `pow-sqr_binary64_2438` `cancel-sign-sub_binary64_2430` `associate-/l/_binary64_2412`
4×	`rem-square-sqrt_binary64_2477`
3×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `distribute-rgt-out--_binary64_2419`
2×	`div-exp_binary64_2516` `remove-double-neg_binary64_2453` `distribute-lft-out--_binary64_2417` `associate--l-_binary64_2403`
1×	`1-exp_binary64_2509` `rem-3cbrt-lft_binary64_2490` `sqr-neg_binary64_2479` `*-lft-identity_binary64_2454` `--rgt-identity_binary64_2451` `+-inverses_binary64_2444` `distribute-neg-out_binary64_2427` `associate--r-_binary64_2404`
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` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-neg_binary64_2512` `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-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-rgt-identity_binary64_2455` `+-lft-identity_binary64_2449` `div0_binary64_2446` `-inverses_binary64_2445` `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` `distribute-frac-neg_binary64_2428` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413`

Counts

138 → 197

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2842
1	349	2750
2	1026	2744
3	3828	2720
4	5083	2720

prune396.0ms (2.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	197	12	209

Error

5.9b

Counts

209 → 12

Compiler

Compiled 8449 to 4622 computations (45.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

17.0b	(-.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite169.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

11×	`add-sqr-sqrt_binary64_2487`
9×	`sqrt-prod_binary64_2481`
8×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `sqrt-div_binary64_2482`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `flip--_binary64_2440`
3×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `cancel-sign-sub-inv_binary64_2431`
1×	`diff-log_binary64_2557` `sub-neg_binary64_2458`

Counts

4 → 59

Calls

4 calls:

24.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3347 to 1899 computations (43.3% saved)

series819.0ms (4.8%)

Error

5.9b

Counts

4 → 77

Calls

4 calls:

179.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
176.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
173.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
173.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 7599 to 5128 computations (32.5% saved)

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

609×	`times-frac_binary64_2471`
264×	`associate-/l*_binary64_2410`
253×	`unswap-sqr_binary64_2433`
252×	`associate-/r*_binary64_2409`
242×	`*-commutative_binary64_2396`
177×	`div-sub_binary64_2470`
171×	`sub-neg_binary64_2458`
167×	`distribute-rgt-neg-in_binary64_2423`
159×	`cancel-sign-sub-inv_binary64_2431`
155×	`distribute-lft-neg-in_binary64_2422`
125×	`neg-mul-1_binary64_2461`
123×	`neg-sub0_binary64_2460`
92×	`associate-r_binary64_2405`
90×	`sqr-pow_binary64_2437`
81×	`associate-*l/_binary64_2408` `+-commutative_binary64_2395`
77×	`associate-l_binary64_2406`
63×	`associate-*r/_binary64_2407`
60×	`unsub-neg_binary64_2459`
54×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
48×	`difference-of-squares_binary64_2434`
46×	`cube-prod_binary64_2493`
42×	`associate-+r+_binary64_2397`
41×	`distribute-rgt-out_binary64_2418` `associate-+l+_binary64_2398`
39×	`associate-+l-_binary64_2400`
34×	`associate-/r/_binary64_2411` `associate--l+_binary64_2402`
32×	`exp-prod_binary64_2517` `distribute-neg-frac_binary64_2429`
31×	`associate-+r-_binary64_2399`
28×	`unpow3_binary64_2531`
23×	`sub0-neg_binary64_2452` `+-rgt-identity_binary64_2450`
20×	`exp-sum_binary64_2511`
17×	`cube-mult_binary64_2495`
16×	`pow-plus_binary64_2528` `distribute-lft-neg-out_binary64_2424`
15×	`cube-unmult_binary64_2502`
14×	`swap-sqr_binary64_2432`
13×	`pow-sqr_binary64_2438` `distribute-lft-out_binary64_2416`
12×	`rem-sqrt-square_binary64_2478` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
10×	`associate--r+_binary64_2401`
8×	`log-prod_binary64_2551`
7×	`exp-diff_binary64_2513` `distribute-rgt-neg-out_binary64_2425`
6×	`distribute-neg-in_binary64_2426`
5×	`unpow2_binary64_2530` `associate-/l/_binary64_2412`
4×	`rem-square-sqrt_binary64_2477`
3×	`log-pow_binary64_2554` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `distribute-rgt-out--_binary64_2419`
2×	`sqr-neg_binary64_2479` `distribute-lft-out--_binary64_2417`
1×	`div-exp_binary64_2516` `1-exp_binary64_2509` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `+-inverses_binary64_2444` `associate--l-_binary64_2403`
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` `log-div_binary64_2552` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-neg_binary64_2512` `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` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `div0_binary64_2446` `*-inverses_binary64_2445` `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-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413` `associate--r-_binary64_2404`

Counts

136 → 232

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	3459
1	359	2619
2	1058	2556
3	3945	2544
4	4889	2544
5	5140	2544

prune697.0ms (4.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	1	7	8
Picked	0	1	1
Done	0	3	3
Total	232	12	244

Error

5.9b

Counts

244 → 12

Compiler

Compiled 12517 to 6861 computations (45.2% saved)

regimes1.7s (9.9%)

Accuracy

Total 3.3b remaining (37.9%)

Threshold costs 0b (0%)

Compiler

Compiled 11848 to 9066 computations (23.5% saved)

bsearch102.0ms (0.6%)

Steps

Iters	Range		Point
7	95.62636532403697	4014.26002020368	2571.2555714359514
8	1.3187935132910124e-118	2.1168631442676174e-114	1.3458493856293548e-118
8	-1.3481696438732638e+147	-2.8744800158599896e+144	-4.4035815120185316e+145

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64_2396`
14×	`+-commutative_binary64_2395`
13×	`sub-neg_binary64_2458`
10×	`neg-sub0_binary64_2460`
9×	`neg-mul-1_binary64_2461`
8×	`distribute-rgt-neg-in_binary64_2423`
6×	`distribute-lft-neg-in_binary64_2422`
4×	`cancel-sign-sub-inv_binary64_2431`
2×	`distribute-lft-neg-out_binary64_2424`
1×	`mul-1-neg_binary64_2457` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428`
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` `unsub-neg_binary64_2459` `/-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-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `distribute-rgt-neg-out_binary64_2425`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	87
1	65	87
2	93	87
3	115	87
4	127	87
5	130	87
6	130	87

end0.0ms (0%)

sample3.7s (21.5%)

Algorithm

1×

intervals

Results

295.0ms	1173×	body	2048	valid
273.0ms	5176×	body	128	valid
145.0ms	715×	body	1024	valid
130.0ms	368×	body	4096	valid
54.0ms	366×	body	512	valid
32.0ms	661×	body	128	nan
22.0ms	373×	body	128	invalid
20.0ms	202×	body	256	valid

Compiler

Compiled 3070 to 2340 computations (23.8% saved)

Details

analyze469.0ms (2.7%)

sample45.0ms (0.3%)

simplify440.0ms (2.6%)

prune5.0ms (0%)

localize11.0ms (0.1%)

rewrite151.0ms (0.9%)

series754.0ms (4.4%)

simplify95.0ms (0.6%)

prune294.0ms (1.7%)

localize12.0ms (0.1%)

rewrite1.0s (5.9%)

series755.0ms (4.4%)

simplify486.0ms (2.8%)

prune3.9s (22.6%)

localize19.0ms (0.1%)

rewrite134.0ms (0.8%)

series759.0ms (4.4%)

simplify110.0ms (0.6%)

prune396.0ms (2.3%)

localize21.0ms (0.1%)

rewrite169.0ms (1%)

series819.0ms (4.8%)

simplify139.0ms (0.8%)

prune697.0ms (4.1%)

regimes1.7s (9.9%)

bsearch102.0ms (0.6%)

simplify7.0ms (0%)

end0.0ms (0%)

sample3.7s (21.5%)

Profiling