Details

analyze312.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

16×	`sub-neg_binary64_2458`
12×	`div-sub_binary64_2470` `+-commutative_binary64_2395`
10×	`*-commutative_binary64_2396`
6×	`associate-/l*_binary64_2410`
4×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `div0_binary64_2446` `associate-+l-_binary64_2400`
3×	`associate-/r/_binary64_2411`
2×	`sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `distribute-frac-neg_binary64_2428` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate--r+_binary64_2401`
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` `1-exp_binary64_2509` `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` `sqr-neg_binary64_2479` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `unsub-neg_binary64_2459` `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_2450` `+-lft-identity_binary64_2449` `-inverses_binary64_2445` `+-inverses_binary64_2444` `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` `unswap-sqr_binary64_2433` `swap-sqr_binary64_2432` `cancel-sign-sub-inv_binary64_2431` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422` `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` `count-2_binary64_2413` `associate-/l/_binary64_2412` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate-l_binary64_2406` `associate-r_binary64_2405` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate-+r-_binary64_2399` `associate-+l+_binary64_2398` `associate-+r+_binary64_2397`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	39	46
2	59	46
3	73	46
4	81	46
5	86	46
6	108	46
7	108	46
8	110	46
9	94	46
0	2	2
1	2	2

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
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

Compiler

Compiled 17 to 17 computations (0% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
1.0ms	22×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64_2458`
6×	`*-commutative_binary64_2396`
5×	`div-sub_binary64_2470` `+-commutative_binary64_2395`
4×	`associate-/l*_binary64_2410`
2×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `div0_binary64_2446` `associate-/r/_binary64_2411` `associate-+l-_binary64_2400`
1×	`sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `distribute-frac-neg_binary64_2428` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate--r+_binary64_2401`
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` `1-exp_binary64_2509` `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` `sqr-neg_binary64_2479` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `unsub-neg_binary64_2459` `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_2450` `+-lft-identity_binary64_2449` `-inverses_binary64_2445` `+-inverses_binary64_2444` `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` `unswap-sqr_binary64_2433` `swap-sqr_binary64_2432` `cancel-sign-sub-inv_binary64_2431` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422` `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` `count-2_binary64_2413` `associate-/l/_binary64_2412` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate-l_binary64_2406` `associate-r_binary64_2405` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate-+r-_binary64_2399` `associate-+l+_binary64_2398` `associate-+r+_binary64_2397`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	26	23
2	40	23
3	48	23
4	52	23
5	55	23
6	66	23
7	65	23
8	54	23

prune9.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.9b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
0.9b	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(*.f64 PI.f64 2/3)

rewrite132.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_2487`
14×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`times-frac_binary64_2471`
8×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `div-sub_binary64_2470`
4×	`associate-+r-_binary64_2399`
3×	`associate-l_binary64_2406` `associate-r_binary64_2405` `distribute-frac-neg_binary64_2428` `acos-neg_binary64_2648` `acos-asin_binary64_2646` `associate-/l_binary64_2410` `associate-/r_binary64_2409`
2×	`cos-diff_binary64_2602`
1×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `cos-sum_binary64_2599` `sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
5.0ms	(*.f64 PI.f64 2/3)
4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Compiler

Compiled 1547 to 910 computations (41.2% saved)

series390.0ms (6.7%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

228.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
94.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
65.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 570 to 566 computations (0.7% saved)

simplify152.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

728×	`div-sub_binary64_2470`
384×	`sub-neg_binary64_2458`
361×	`associate-/r/_binary64_2411`
278×	`associate-/r*_binary64_2409`
228×	`cancel-sign-sub-inv_binary64_2431`
201×	`distribute-rgt-out_binary64_2418` `distribute-rgt-in_binary64_2415`
199×	`associate-/l*_binary64_2410`
180×	`distribute-lft-in_binary64_2414`
167×	`associate-l_binary64_2406`
166×	`*-commutative_binary64_2396`
151×	`associate-*l/_binary64_2408`
143×	`associate-/l/_binary64_2412`
130×	`associate-r_binary64_2405`
128×	`associate-+l-_binary64_2400`
123×	`associate--l-_binary64_2403`
109×	`distribute-rgt-neg-in_binary64_2423` `associate-*r/_binary64_2407`
102×	`unsub-neg_binary64_2459`
89×	`neg-sub0_binary64_2460`
85×	`associate--l+_binary64_2402` `associate-+l+_binary64_2398`
84×	`distribute-neg-frac_binary64_2429`
83×	`sqr-pow_binary64_2437`
81×	`neg-mul-1_binary64_2461`
79×	`distribute-lft-neg-in_binary64_2422`
75×	`associate-+r+_binary64_2397`
65×	`distribute-lft-out_binary64_2416` `associate-+r-_binary64_2399`
63×	`times-frac_binary64_2471`
62×	`associate--r+_binary64_2401`
55×	`/-rgt-identity_binary64_2456`
48×	`*-lft-identity_binary64_2454`
45×	`+-commutative_binary64_2395`
43×	`cube-prod_binary64_2493`
38×	`*-rgt-identity_binary64_2455`
33×	`distribute-rgt-out--_binary64_2419`
31×	`exp-prod_binary64_2517` `cube-div_binary64_2494` `distribute-neg-in_binary64_2426`
30×	`log-prod_binary64_2551`
29×	`sub0-neg_binary64_2452`
26×	`log-div_binary64_2552`
25×	`associate--r-_binary64_2404`
22×	`distribute-lft-neg-out_binary64_2424`
20×	`+-rgt-identity_binary64_2450`
16×	`exp-sum_binary64_2511` `remove-double-neg_binary64_2453` `unswap-sqr_binary64_2433`
15×	`pow-sqr_binary64_2438`
13×	`unpow3_binary64_2531` `exp-diff_binary64_2513`
11×	`swap-sqr_binary64_2432`
10×	`distribute-rgt-neg-out_binary64_2425`
9×	`cube-unmult_binary64_2502` `rem-sqrt-square_binary64_2478`
8×	`div0_binary64_2446`
7×	`log-rec_binary64_2553` `cube-mult_binary64_2495` `mul0-rgt_binary64_2448`
6×	`--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `remove-double-div_binary64_2441` `distribute-neg-out_binary64_2427`
5×	`unpow1/2_binary64_2529` `pow-plus_binary64_2528` `mul0-lft_binary64_2447` `distribute-lft-out--_binary64_2417`
4×	`prod-exp_binary64_2514` `cube-neg_binary64_2492` `mul-1-neg_binary64_2457` `distribute-rgt1-in_binary64_2421`
3×	`sin-neg_binary64_2595` `exp-cbrt_binary64_2519`
2×	`cos-neg_binary64_2596` `unpow2_binary64_2530` `1-exp_binary64_2509` `sqr-neg_binary64_2479` `difference-of-squares_binary64_2434`
1×	`cos-PI_binary64_2577` `sin-PI_binary64_2570` `unpow1/3_binary64_2532` `exp-1-e_binary64_2508` `distribute-frac-neg_binary64_2428` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413`
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` `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/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/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` `pow-base-0_binary64_2549` `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-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `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-square-sqrt_binary64_2477` `*-inverses_binary64_2445` `+-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`

Counts

88 → 75

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	150	1689
1	271	1611
2	550	1608
3	1152	1564
4	2589	1558
5	4130	1544
6	4499	1544
7	5183	1544

prune101.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Error

0.9b

Counts

76 → 3

Compiler

Compiled 1181 to 696 computations (41.1% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.9b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite53.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `times-frac_binary64_2471` `*-un-lft-identity_binary64_2465`
3×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-/l_binary64_2410` `associate-/r_binary64_2409`
1×	`pow1_binary64_2526` `div-exp_binary64_2516` `add-log-exp_binary64_2504` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `acos-asin_binary64_2646` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

1 → 28

Calls

1 calls:

3.0ms

(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 541 to 341 computations (37% saved)

series62.0ms (1.1%)

Error

0.9b

Counts

1 → 6

Calls

1 calls:

60.0ms

(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 156 to 156 computations (0% saved)

simplify172.0ms (3%)

Algorithm

1×	egg-herbie

Rules

595×	`unswap-sqr_binary64_2433`
468×	`associate-/l/_binary64_2412`
420×	`unsub-neg_binary64_2459`
386×	`associate-/r/_binary64_2411`
382×	`associate-/l*_binary64_2410`
381×	`distribute-rgt-in_binary64_2415`
318×	`times-frac_binary64_2471`
287×	`associate-l_binary64_2406`
277×	`associate-/r*_binary64_2409`
269×	`cancel-sign-sub-inv_binary64_2431`
226×	`sub-neg_binary64_2458`
208×	`distribute-neg-in_binary64_2426`
193×	`sqr-pow_binary64_2437`
175×	`associate-*l/_binary64_2408`
165×	`associate-*r/_binary64_2407`
139×	`*-commutative_binary64_2396`
135×	`pow-sqr_binary64_2438`
127×	`distribute-lft-in_binary64_2414`
114×	`+-commutative_binary64_2395`
110×	`associate--r-_binary64_2404`
87×	`neg-sub0_binary64_2460`
81×	`neg-mul-1_binary64_2461` `associate--l-_binary64_2403`
79×	`associate--r+_binary64_2401`
70×	`unpow3_binary64_2531`
69×	`div-sub_binary64_2470`
68×	`distribute-lft-neg-out_binary64_2424`
65×	`*-lft-identity_binary64_2454`
62×	`cube-prod_binary64_2493` `*-rgt-identity_binary64_2455`
60×	`distribute-rgt-neg-in_binary64_2423` `associate--l+_binary64_2402`
54×	`associate-r_binary64_2405`
53×	`distribute-neg-out_binary64_2427`
52×	`distribute-lft-neg-in_binary64_2422`
47×	`associate-+r+_binary64_2397`
46×	`associate-+l-_binary64_2400`
36×	`associate-+l+_binary64_2398`
32×	`cancel-sign-sub_binary64_2430`
31×	`cube-mult_binary64_2495`
30×	`remove-double-neg_binary64_2453`
29×	`pow-plus_binary64_2528`
28×	`swap-sqr_binary64_2432`
25×	`distribute-rgt-neg-out_binary64_2425` `associate-+r-_binary64_2399`
24×	`cube-unmult_binary64_2502`
19×	`/-rgt-identity_binary64_2456`
18×	`distribute-lft-out--_binary64_2417`
16×	`cube-div_binary64_2494`
13×	`distribute-rgt-out_binary64_2418`
11×	`div0_binary64_2446`
10×	`+-rgt-identity_binary64_2450`
9×	`unpow2_binary64_2530` `distribute-rgt-out--_binary64_2419`
8×	`rem-sqrt-square_binary64_2478` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `distribute-lft-out_binary64_2416`
6×	`unpow1_binary64_2523` `mul-1-neg_binary64_2457`
5×	`log-div_binary64_2552` `--rgt-identity_binary64_2451`
4×	`log-prod_binary64_2551` `unpow1/2_binary64_2529` `exp-sum_binary64_2511` `distribute-rgt1-in_binary64_2421`
2×	`exp-prod_binary64_2517` `exp-diff_binary64_2513` `sub0-neg_binary64_2452` `+-lft-identity_binary64_2449` `distribute-lft1-in_binary64_2420`
1×	`log-rec_binary64_2553` `exp-cbrt_binary64_2519` `1-exp_binary64_2509` `distribute-neg-frac_binary64_2429` `count-2_binary64_2413`
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` `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-sqrt_binary64_2518` `div-exp_binary64_2516` `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-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `*-inverses_binary64_2445` `+-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` `distribute-frac-neg_binary64_2428`

Counts

34 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	533
1	100	495
2	168	495
3	263	495
4	532	495
5	1001	495
6	1663	495
7	3232	495
8	4074	495
9	4471	495
10	4583	495
11	4842	495
12	4997	495
13	4673	495

prune25.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	15	2	17

Error

0.9b

Counts

17 → 2

Compiler

Compiled 216 to 146 computations (32.4% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
0.0b	(exp.f64 (acos.f64 (/.f64 g h)))
0.9b	(cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))

rewrite59.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
6×	`cbrt-prod_binary64_2496` `log-prod_binary64_2551`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-exp-log_binary64_2503`
3×	`add-cbrt-cube_binary64_2501` `acos-asin_binary64_2646` `exp-diff_binary64_2513` `exp-prod_binary64_2517`
2×	`pow1/3_binary64_2547` `cbrt-div_binary64_2497` `log-pow_binary64_2554`
1×	`rem-exp-log_binary64_2505` `log-div_binary64_2552` `rem-log-exp_binary64_2506`

Counts

3 → 41

Calls

3 calls:

3.0ms	(cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))
2.0ms	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
2.0ms	(exp.f64 (acos.f64 (/.f64 g h)))

Compiler

Compiled 743 to 360 computations (51.5% saved)

series934.0ms (16.1%)

Error

0.9b

Counts

3 → 18

Calls

3 calls:

580.0ms	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
308.0ms	(cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))
42.0ms	(exp.f64 (acos.f64 (/.f64 g h)))

Compiler

Compiled 519 to 514 computations (1% saved)

simplify147.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

609×	`associate-l_binary64_2406`
598×	`log-prod_binary64_2551`
503×	`exp-prod_binary64_2517`
325×	`log-pow_binary64_2554`
323×	`associate-r_binary64_2405`
302×	`exp-sum_binary64_2511`
240×	`distribute-rgt-out_binary64_2418`
196×	`distribute-rgt-in_binary64_2415`
187×	`distribute-lft-in_binary64_2414`
179×	`unswap-sqr_binary64_2433`
178×	`distribute-lft-out_binary64_2416`
160×	`prod-exp_binary64_2514`
136×	`cube-prod_binary64_2493`
114×	`associate-/l*_binary64_2410`
109×	`exp-to-pow_binary64_2527`
108×	`sqr-pow_binary64_2437`
79×	`swap-sqr_binary64_2432`
68×	`associate-+l+_binary64_2398`
58×	`unpow3_binary64_2531` `associate-+r+_binary64_2397`
54×	`count-2_binary64_2413`
47×	`associate-/r*_binary64_2409`
39×	`pow-sqr_binary64_2438`
38×	`+-commutative_binary64_2395`
37×	`pow-plus_binary64_2528`
36×	`*-commutative_binary64_2396`
26×	`log-div_binary64_2552` `distribute-rgt1-in_binary64_2421`
19×	`associate-/l/_binary64_2412`
16×	`associate-*r/_binary64_2407`
13×	`distribute-lft1-in_binary64_2420`
12×	`cube-unmult_binary64_2502`
11×	`associate-/r/_binary64_2411`
6×	`cube-mult_binary64_2495` `rem-sqrt-square_binary64_2478`
5×	`unpow1/3_binary64_2532` `exp-lft-sqr_binary64_2520`
3×	`rem-exp-log_binary64_2505`
2×	`log-rec_binary64_2553` `exp-lft-cube_binary64_2521` `exp-sqrt_binary64_2518` `rem-log-exp_binary64_2506`
1×	`log-E_binary64_2555` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-lft_binary64_2490` `associate-*l/_binary64_2408`
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` `pow-base-0_binary64_2549` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-cbrt_binary64_2519` `div-exp_binary64_2516` `rec-exp_binary64_2515` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `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` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `unsub-neg_binary64_2459` `sub-neg_binary64_2458` `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` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `+-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-inv_binary64_2431` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`

Counts

59 → 34

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	798
1	73	731
2	154	731
3	472	731
4	2066	731
5	3895	673
6	4747	673
7	4959	673
8	4723	673

prune28.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	33	3	36

Error

Counts

36 → 3

Compiler

Compiled 338 to 227 computations (32.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (/.f64 g h))) 3))
0.0b	(exp.f64 (acos.f64 (/.f64 g h)))
0.9b	(cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (/.f64 g h))) 3)))
1.0b	(pow.f64 (exp.f64 (acos.f64 (/.f64 g h))) 3)

rewrite143.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

39×	`cbrt-prod_binary64_2496`
16×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
9×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
6×	`exp-prod_binary64_2517`
5×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
4×	`pow-pow_binary64_2537` `add-exp-log_binary64_2503` `acos-asin_binary64_2646` `exp-diff_binary64_2513`
3×	`pow-unpow_binary64_2542` `unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-div_binary64_2494` `sqr-pow_binary64_2437` `cbrt-div_binary64_2497`
2×	`pow1/3_binary64_2547`
1×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `rem-cube-cbrt_binary64_2488` `rem-exp-log_binary64_2505` `rem-cbrt-cube_binary64_2489`

Counts

4 → 85

Calls

4 calls:

4.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (/.f64 g h))) 3)))
4.0ms	(pow.f64 (exp.f64 (acos.f64 (/.f64 g h))) 3)
4.0ms	(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (/.f64 g h))) 3))
2.0ms	(exp.f64 (acos.f64 (/.f64 g h)))

Compiler

Compiled 1735 to 1066 computations (38.6% saved)

series615.0ms (10.6%)

Error

Counts

4 → 24

Calls

4 calls:

364.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (/.f64 g h))) 3)))
149.0ms	(pow.f64 (exp.f64 (acos.f64 (/.f64 g h))) 3)
54.0ms	(exp.f64 (acos.f64 (/.f64 g h)))
44.0ms	(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (/.f64 g h))) 3))

Compiler

Compiled 751 to 741 computations (1.3% saved)

simplify157.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

701×	`log-prod_binary64_2551`
437×	`exp-prod_binary64_2517`
436×	`associate-l_binary64_2406`
364×	`associate-r_binary64_2405`
352×	`cube-prod_binary64_2493`
289×	`unswap-sqr_binary64_2433`
201×	`swap-sqr_binary64_2432`
184×	`distribute-rgt-in_binary64_2415`
171×	`distribute-lft-in_binary64_2414`
140×	`sqr-pow_binary64_2437`
125×	`log-pow_binary64_2554`
75×	`prod-exp_binary64_2514`
70×	`exp-sum_binary64_2511`
49×	`pow-sqr_binary64_2438`
42×	`distribute-rgt-out_binary64_2418`
36×	`pow-plus_binary64_2528`
28×	`*-commutative_binary64_2396`
25×	`unpow3_binary64_2531` `cube-unmult_binary64_2502`
23×	`distribute-lft-out_binary64_2416`
17×	`rem-sqrt-square_binary64_2478`
13×	`cube-mult_binary64_2495`
9×	`associate-+l+_binary64_2398` `associate-+r+_binary64_2397`
7×	`count-2_binary64_2413`
6×	`rem-cbrt-cube_binary64_2489` `distribute-rgt1-in_binary64_2421`
4×	`*-rgt-identity_binary64_2455`
3×	`-lft-identity_binary64_2454` `distribute-lft1-in_binary64_2420` `associate-/l/_binary64_2412` `associate-r/_binary64_2407`
2×	`rem-exp-log_binary64_2505` `rem-3cbrt-lft_binary64_2490` `rem-square-sqrt_binary64_2477`
1×	`log-E_binary64_2555` `unpow1/3_binary64_2532` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `unpow1_binary64_2523` `exp-sqrt_binary64_2518` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-log-exp_binary64_2506` `rem-cube-cbrt_binary64_2488` `associate-/r/_binary64_2411` `associate-/l*_binary64_2410`
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-rec_binary64_2553` `log-div_binary64_2552` `pow-base-0_binary64_2549` `unpow2_binary64_2530` `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` `div-exp_binary64_2516` `rec-exp_binary64_2515` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `times-frac_binary64_2471` `div-sub_binary64_2470` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `unsub-neg_binary64_2459` `sub-neg_binary64_2458` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `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_2445` `+-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-inv_binary64_2431` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `associate-/r_binary64_2409` `associate-*l/_binary64_2408` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399` `+-commutative_binary64_2395`

Counts

109 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1574
1	136	1445
2	333	1433
3	1981	1433
4	4782	1433
5	4991	1433
6	4863	1433

prune40.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	66	3	69

Error

Counts

69 → 3

Compiler

Compiled 618 to 363 computations (41.3% saved)

regimes1.1s (19.1%)

Accuracy

Total 0.0b remaining (21.3%)

Threshold costs 0.0b (21.3%)

Compiler

Compiled 8865 to 8211 computations (7.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_2396`
3×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
2×	`+-commutative_binary64_2395`
1×	`sub-neg_binary64_2458` `+-rgt-identity_binary64_2450` `distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
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` `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` `+-lft-identity_binary64_2449` `cancel-sign-sub-inv_binary64_2431` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	21	28
2	26	26
3	31	26
4	33	26
5	34	26
6	33	26

end2.0ms (0%)

Compiler: Compiled 16 to 16 computations (0% saved)

sample1.1s (18.3%)

Algorithm

1×

intervals

Results

619.0ms	8000×	body	128	valid
33.0ms	535×	body	128	nan

Compiler

Compiled 79 to 87 computations (-10.1% saved)

Details

analyze312.0ms (5.4%)

sample31.0ms (0.5%)

simplify11.0ms (0.2%)

prune9.0ms (0.2%)

localize13.0ms (0.2%)

rewrite132.0ms (2.3%)

series390.0ms (6.7%)

simplify152.0ms (2.6%)

prune101.0ms (1.7%)

localize10.0ms (0.2%)

rewrite53.0ms (0.9%)

series62.0ms (1.1%)

simplify172.0ms (3%)

prune25.0ms (0.4%)

localize14.0ms (0.2%)

rewrite59.0ms (1%)

series934.0ms (16.1%)

simplify147.0ms (2.5%)

prune28.0ms (0.5%)

localize16.0ms (0.3%)

rewrite143.0ms (2.5%)

series615.0ms (10.6%)

simplify157.0ms (2.7%)

prune40.0ms (0.7%)

regimes1.1s (19.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end2.0ms (0%)

sample1.1s (18.3%)

Profiling