Details

analyze615.0ms (7.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

617×	`sub-neg_binary64_2458`
548×	`cancel-sign-sub-inv_binary64_2431`
265×	`associate--r+_binary64_2401`
260×	`distribute-rgt-in_binary64_2415`
259×	`associate-+l-_binary64_2400`
242×	`associate--r-_binary64_2404`
241×	`distribute-neg-in_binary64_2426`
207×	`associate--l+_binary64_2402`
167×	`unsub-neg_binary64_2459`
121×	`+-commutative_binary64_2395`
116×	`distribute-rgt-neg-in_binary64_2423` `associate-+r+_binary64_2397`
111×	`associate-+l+_binary64_2398`
96×	`neg-mul-1_binary64_2461`
91×	`distribute-lft-neg-out_binary64_2424`
90×	`cancel-sign-sub_binary64_2430`
87×	`sub0-neg_binary64_2452`
83×	`associate--l-_binary64_2403`
80×	`neg-sub0_binary64_2460`
73×	`*-commutative_binary64_2396`
64×	`associate-+r-_binary64_2399`
62×	`distribute-lft-neg-in_binary64_2422`
46×	`distribute-lft-in_binary64_2414`
36×	`distribute-rgt-neg-out_binary64_2425`
35×	`remove-double-neg_binary64_2453`
21×	`+-rgt-identity_binary64_2450`
20×	`distribute-lft-out--_binary64_2417`
18×	`--rgt-identity_binary64_2451` `associate-l_binary64_2406`
15×	`*-lft-identity_binary64_2454`
8×	`distribute-neg-out_binary64_2427`
6×	`*-rgt-identity_binary64_2455` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
4×	`distribute-lft-out_binary64_2416`
3×	`+-lft-identity_binary64_2449` `distribute-rgt1-in_binary64_2421` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418`
1×	`1-exp_binary64_2509`
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` `sqr-neg_binary64_2479` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `div0_binary64_2446` `-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` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate-r*_binary64_2405`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	68
1	54	68
2	142	68
3	404	68
4	733	68
5	1434	68
6	1500	68
7	1596	68
8	1674	68
9	1678	68
10	1678	68
11	1722	68
12	1722	68
13	1687	68
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	87×	body	1024	valid
5.0ms	37×	body	2048	valid
3.0ms	38×	body	512	valid
2.0ms	73×	body	128	valid
1.0ms	21×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify30.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

202×	`cancel-sign-sub-inv_binary64_2431`
170×	`sub-neg_binary64_2458`
91×	`associate--r+_binary64_2401`
82×	`associate-+l-_binary64_2400`
77×	`distribute-rgt-in_binary64_2415` `associate--l+_binary64_2402`
74×	`distribute-neg-in_binary64_2426`
49×	`associate--r-_binary64_2404`
39×	`distribute-rgt-neg-in_binary64_2423`
38×	`associate-+r+_binary64_2397`
37×	`associate-+l+_binary64_2398`
33×	`+-commutative_binary64_2395`
31×	`neg-mul-1_binary64_2461`
30×	`unsub-neg_binary64_2459`
28×	`distribute-lft-neg-out_binary64_2424`
27×	`neg-sub0_binary64_2460`
24×	`sub0-neg_binary64_2452`
22×	`*-commutative_binary64_2396`
21×	`associate--l-_binary64_2403`
20×	`distribute-lft-neg-in_binary64_2422` `associate-+r-_binary64_2399`
13×	`distribute-rgt-neg-out_binary64_2425`
12×	`remove-double-neg_binary64_2453` `distribute-lft-in_binary64_2414`
6×	`--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450`
5×	`-lft-identity_binary64_2454` `distribute-lft-out--_binary64_2417` `associate-l*_binary64_2406`
4×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `cancel-sign-sub_binary64_2430`
2×	`-rgt-identity_binary64_2455` `distribute-neg-out_binary64_2427` `associate-r*_binary64_2405`
1×	`1-exp_binary64_2509` `+-lft-identity_binary64_2449` `distribute-rgt1-in_binary64_2421` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418` `distribute-lft-out_binary64_2416`
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` `sqr-neg_binary64_2479` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `div0_binary64_2446` `-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` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-*r/_binary64_2407`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	21	17
2	48	17
3	129	17
4	231	17
5	425	17
6	500	17
7	515	17
8	534	17
9	535	17
10	504	17

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

45.5b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
9.9b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite52.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

44.9b

Rules

13×	`add-log-exp_binary64_2504`
10×	`*-un-lft-identity_binary64_2465`
5×	`add-sqr-sqrt_binary64_2487`
4×	`sum-log_binary64_2556` `cancel-sign-sub-inv_binary64_2431`
3×	`diff-log_binary64_2557` `add-cube-cbrt_binary64_2500`
2×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `distribute-lft-out_binary64_2416` `distribute-lft-out--_binary64_2417`
1×	`flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `difference-of-squares_binary64_2434` `associate--r+_binary64_2401` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`

Counts

2 → 32

Calls

2 calls:

9.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
5.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 684 to 235 computations (65.6% saved)

series273.0ms (3.2%)

Error

44.2b

Counts

2 → 36

Calls

2 calls:

153.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
97.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 916 to 565 computations (38.3% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

478×	`cancel-sign-sub-inv_binary64_2431`
421×	`distribute-rgt-in_binary64_2415`
394×	`distribute-lft-in_binary64_2414`
361×	`neg-mul-1_binary64_2461` `distribute-rgt-out_binary64_2418`
282×	`distribute-neg-in_binary64_2426`
280×	`associate-l_binary64_2406`
256×	`associate-r_binary64_2405`
185×	`associate-+l+_binary64_2398`
178×	`sub-neg_binary64_2458`
176×	`associate-+r+_binary64_2397`
162×	`times-frac_binary64_2471`
150×	`exp-sum_binary64_2511`
142×	`distribute-lft-neg-out_binary64_2424`
137×	`distribute-rgt-neg-out_binary64_2425`
119×	`exp-prod_binary64_2517`
118×	`unsub-neg_binary64_2459`
73×	`*-commutative_binary64_2396`
72×	`exp-diff_binary64_2513`
70×	`associate--r+_binary64_2401`
67×	`distribute-rgt-neg-in_binary64_2423`
60×	`distribute-lft-neg-in_binary64_2422`
59×	`+-commutative_binary64_2395`
53×	`distribute-rgt-out--_binary64_2419`
50×	`sqr-pow_binary64_2437`
45×	`neg-sub0_binary64_2460`
34×	`cube-prod_binary64_2493` `associate-+l-_binary64_2400`
32×	`unswap-sqr_binary64_2433`
25×	`*-rgt-identity_binary64_2455`
24×	`*-lft-identity_binary64_2454`
22×	`swap-sqr_binary64_2432`
17×	`associate-+r-_binary64_2399`
15×	`sub0-neg_binary64_2452` `+-rgt-identity_binary64_2450`
13×	`cube-unmult_binary64_2502`
12×	`unpow3_binary64_2531` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `difference-of-squares_binary64_2434` `associate-/r*_binary64_2409`
11×	`associate--l+_binary64_2402`
10×	`distribute-rgt1-in_binary64_2421`
8×	`div-sub_binary64_2470`
7×	`div-exp_binary64_2516`
6×	`cube-mult_binary64_2495` `mul-1-neg_binary64_2457` `distribute-lft1-in_binary64_2420` `distribute-lft-out_binary64_2416`
5×	`prod-exp_binary64_2514` `sqr-neg_binary64_2479` `pow-sqr_binary64_2438`
4×	`log-prod_binary64_2551` `pow-plus_binary64_2528` `distribute-neg-out_binary64_2427`
2×	`unpow1/2_binary64_2529` `rem-sqrt-square_binary64_2478` `distribute-lft-out--_binary64_2417` `associate--l-_binary64_2403`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `cube-neg_binary64_2492` `rem-3cbrt-lft_binary64_2490` `rem-square-sqrt_binary64_2477` `difference-of-sqr-1_binary64_2435` `associate-/l/_binary64_2412`
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` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow2_binary64_2530` `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` `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` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `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` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `count-2_binary64_2413` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate--r-_binary64_2404`

Counts

68 → 51

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	973
1	227	913
2	644	910
3	2911	901
4	4563	901
5	5205	901

prune53.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	42	9	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	9	52

Error

44.2b

Counts

52 → 9

Compiler

Compiled 895 to 358 computations (60% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
34.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite103.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

44.1b

Rules

10×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
9×	`add-log-exp_binary64_2504` `cbrt-prod_binary64_2496`
8×	`add-cube-cbrt_binary64_2500`
6×	`cbrt-div_binary64_2497`
4×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`cancel-sign-sub-inv_binary64_2431` `pow1/3_binary64_2547` `flip3-+_binary64_2468` `flip-+_binary64_2439`
2×	`diff-log_binary64_2557`
1×	`sum-log_binary64_2556` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417` `associate--r+_binary64_2401`

Counts

4 → 57

Calls

4 calls:

6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 2300 to 411 computations (82.1% saved)

series1.1s (12.8%)

Error

44.1b

Counts

4 → 69

Calls

4 calls:

285.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
277.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
274.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
168.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

Compiler

Compiled 5870 to 3410 computations (41.9% saved)

simplify120.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

425×	`associate-l_binary64_2406`
414×	`associate-r_binary64_2405`
349×	`distribute-rgt-in_binary64_2415`
334×	`distribute-lft-in_binary64_2414`
153×	`exp-prod_binary64_2517`
149×	`associate-+l+_binary64_2398`
144×	`associate-+r+_binary64_2397`
126×	`times-frac_binary64_2471`
119×	`associate-/l*_binary64_2410`
118×	`associate-/r*_binary64_2409`
72×	`sub-neg_binary64_2458`
66×	`associate--r+_binary64_2401`
61×	`cancel-sign-sub-inv_binary64_2431`
56×	`sqr-pow_binary64_2437`
53×	`exp-sum_binary64_2511`
52×	`associate-l/_binary64_2408` `-commutative_binary64_2396`
48×	`associate-*r/_binary64_2407`
45×	`distribute-rgt-neg-in_binary64_2423`
44×	`distribute-neg-in_binary64_2426`
43×	`unswap-sqr_binary64_2433`
38×	`distribute-lft-neg-in_binary64_2422`
37×	`+-commutative_binary64_2395`
36×	`associate-+l-_binary64_2400`
35×	`associate-+r-_binary64_2399`
34×	`associate-/r/_binary64_2411`
32×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
21×	`distribute-lft-neg-out_binary64_2424`
19×	`log-prod_binary64_2551`
17×	`exp-diff_binary64_2513` `associate--r-_binary64_2404`
16×	`associate--l+_binary64_2402`
13×	`unsub-neg_binary64_2459` `distribute-rgt-neg-out_binary64_2425` `distribute-rgt-out_binary64_2418`
12×	`cube-prod_binary64_2493`
11×	`unpow3_binary64_2531`
10×	`log-div_binary64_2552`
8×	`unpow1/3_binary64_2532` `associate-/l/_binary64_2412`
7×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `swap-sqr_binary64_2432` `distribute-rgt-out--_binary64_2419`
6×	`log-pow_binary64_2554` `cube-mult_binary64_2495` `pow-sqr_binary64_2438` `associate--l-_binary64_2403`
5×	`pow-plus_binary64_2528` `exp-to-pow_binary64_2527` `div-sub_binary64_2470` `difference-of-squares_binary64_2434`
4×	`distribute-lft-out--_binary64_2417`
3×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `div-exp_binary64_2516` `cube-unmult_binary64_2502` `distribute-rgt1-in_binary64_2421`
2×	`log-rec_binary64_2553` `rem-3cbrt-lft_binary64_2490` `mul-1-neg_binary64_2457` `remove-double-neg_binary64_2453` `+-rgt-identity_binary64_2450` `distribute-neg-out_binary64_2427` `distribute-lft-out_binary64_2416`
1×	`prod-exp_binary64_2514` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `+-inverses_binary64_2444` `distribute-lft1-in_binary64_2420`
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` `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` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `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` `sqr-neg_binary64_2479` `/-rgt-identity_binary64_2456` `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_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-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `count-2_binary64_2413`

Counts

126 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	2478
1	396	2399
2	1053	2345
3	4882	2309
4	5019	2309

prune124.0ms (1.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	85	13	98

Error

44.1b

Counts

98 → 13

Compiler

Compiled 2673 to 956 computations (64.2% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.5b	(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 x y)))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

44.1b

Rules

6×	`add-log-exp_binary64_2504`
4×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
3×	`cancel-sign-sub-inv_binary64_2431`
2×	`diff-log_binary64_2557` `add-cube-cbrt_binary64_2500`
1×	`sum-log_binary64_2556` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417` `associate--r+_binary64_2401`

Counts

1 → 18

Calls

1 calls:

6.0ms

(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 361 to 151 computations (58.2% saved)

series144.0ms (1.7%)

Error

44.1b

Counts

1 → 15

Calls

1 calls:

136.0ms

(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 334 to 224 computations (32.9% saved)

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Rules

446×	`associate-+l+_binary64_2398`
393×	`times-frac_binary64_2471`
334×	`distribute-neg-in_binary64_2426`
315×	`distribute-rgt-neg-in_binary64_2423`
307×	`sub-neg_binary64_2458`
278×	`cancel-sign-sub-inv_binary64_2431`
277×	`*-commutative_binary64_2396`
208×	`unsub-neg_binary64_2459`
146×	`associate-r_binary64_2405`
145×	`associate-l_binary64_2406`
143×	`distribute-lft-neg-out_binary64_2424`
137×	`distribute-rgt-neg-out_binary64_2425`
131×	`neg-sub0_binary64_2460`
130×	`+-commutative_binary64_2395`
128×	`distribute-rgt-out_binary64_2418`
127×	`neg-mul-1_binary64_2461`
119×	`distribute-rgt-in_binary64_2415`
118×	`exp-prod_binary64_2517`
112×	`distribute-lft-in_binary64_2414` `associate--r+_binary64_2401`
99×	`distribute-neg-out_binary64_2427`
86×	`exp-sum_binary64_2511`
83×	`sqr-pow_binary64_2437`
82×	`unswap-sqr_binary64_2433`
66×	`distribute-lft-out_binary64_2416`
62×	`distribute-lft-neg-in_binary64_2422`
59×	`associate-+l-_binary64_2400`
47×	`exp-diff_binary64_2513`
42×	`associate-+r+_binary64_2397`
40×	`cancel-sign-sub_binary64_2430`
38×	`associate-+r-_binary64_2399`
35×	`difference-of-squares_binary64_2434`
30×	`cube-prod_binary64_2493` `associate--l+_binary64_2402`
28×	`distribute-rgt-out--_binary64_2419`
22×	`sub0-neg_binary64_2452` `pow-sqr_binary64_2438`
20×	`*-rgt-identity_binary64_2455` `swap-sqr_binary64_2432`
17×	`-lft-identity_binary64_2454` `associate-/r_binary64_2409`
15×	`cube-unmult_binary64_2502` `sqr-neg_binary64_2479`
14×	`remove-double-neg_binary64_2453` `+-rgt-identity_binary64_2450` `associate--l-_binary64_2403`
12×	`distribute-lft-out--_binary64_2417`
11×	`pow-plus_binary64_2528`
10×	`rem-sqrt-square_binary64_2478`
9×	`+-lft-identity_binary64_2449`
8×	`unpow3_binary64_2531` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `distribute-rgt1-in_binary64_2421`
7×	`div-sub_binary64_2470` `mul-1-neg_binary64_2457`
6×	`div-exp_binary64_2516` `distribute-lft1-in_binary64_2420`
5×	`cube-neg_binary64_2492` `associate-/l*_binary64_2410`
4×	`unpow1/2_binary64_2529` `--rgt-identity_binary64_2451`
3×	`log-prod_binary64_2551` `distribute-frac-neg_binary64_2428` `associate-/l/_binary64_2412`
2×	`exp-neg_binary64_2512` `cube-mult_binary64_2495` `difference-of-sqr-1_binary64_2435` `associate-*r/_binary64_2407` `associate--r-_binary64_2404`
1×	`unpow2_binary64_2530` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-lft_binary64_2490` `rem-square-sqrt_binary64_2477` `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` `log-E_binary64_2555` `log-pow_binary64_2554` `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` `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` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `/-rgt-identity_binary64_2456` `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` `distribute-neg-frac_binary64_2429` `count-2_binary64_2413` `associate-/r/_binary64_2411`

Counts

33 → 22

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	553
1	129	516
2	299	516
3	1255	510
4	2815	510
5	4696	510
6	5285	510

prune29.0ms (0.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	22	13	35

Error

44.1b

Counts

35 → 13

Compiler

Compiled 490 to 237 computations (51.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b	(.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 z))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
18.5b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 z))))

rewrite147.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

44.1b

Rules

16×	`cbrt-div_binary64_2497`
13×	`add-sqr-sqrt_binary64_2487`
11×	`*-un-lft-identity_binary64_2465`
10×	`cbrt-prod_binary64_2496` `associate-*l/_binary64_2408`
9×	`add-log-exp_binary64_2504` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cube-cbrt_binary64_2500`
8×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
6×	`associate-r_binary64_2405`
5×	`add-cbrt-cube_binary64_2501` `pow1/3_binary64_2547` `pow-prod-down_binary64_2536`
4×	`frac-times_binary64_2475`
3×	`cancel-sign-sub-inv_binary64_2431` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
2×	`diff-log_binary64_2557` `unswap-sqr_binary64_2433` `associate-*r/_binary64_2407`
1×	`sum-log_binary64_2556` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417` `associate--r+_binary64_2401` `associate-l_binary64_2406` `*-commutative_binary64_2396`

Counts

4 → 76

Calls

4 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 z))
6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 z))))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 2732 to 569 computations (79.2% saved)

series1.6s (18.2%)

Error

22.2b

Counts

4 → 76

Calls

4 calls:

508.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 z))))
383.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 z))
275.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
274.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 6478 to 4579 computations (29.3% saved)

simplify192.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

477×	`times-frac_binary64_2471`
277×	`cancel-sign-sub-inv_binary64_2431`
271×	`distribute-rgt-in_binary64_2415`
196×	`exp-prod_binary64_2517`
191×	`sub-neg_binary64_2458`
179×	`unswap-sqr_binary64_2433`
166×	`associate-r_binary64_2405`
156×	`associate-l_binary64_2406`
149×	`*-commutative_binary64_2396`
148×	`distribute-rgt-neg-in_binary64_2423`
131×	`distribute-lft-neg-in_binary64_2422`
129×	`log-prod_binary64_2551`
101×	`+-commutative_binary64_2395`
82×	`neg-mul-1_binary64_2461`
81×	`neg-sub0_binary64_2460`
79×	`sqr-pow_binary64_2437`
71×	`distribute-neg-in_binary64_2426`
66×	`associate--r+_binary64_2401`
64×	`associate-/l*_binary64_2410`
62×	`exp-sum_binary64_2511`
55×	`distribute-neg-frac_binary64_2429`
46×	`log-pow_binary64_2554`
45×	`associate-/r*_binary64_2409`
44×	`unsub-neg_binary64_2459`
41×	`distribute-lft-in_binary64_2414`
40×	`associate-+l+_binary64_2398`
38×	`distribute-rgt-out_binary64_2418` `associate-*r/_binary64_2407`
36×	`associate-*l/_binary64_2408`
35×	`distribute-lft-neg-out_binary64_2424`
31×	`associate-+r+_binary64_2397`
30×	`associate--l+_binary64_2402`
27×	`cube-prod_binary64_2493`
24×	`exp-to-pow_binary64_2527`
21×	`unpow3_binary64_2531`
19×	`distribute-rgt-neg-out_binary64_2425`
18×	`distribute-lft-out_binary64_2416`
15×	`unpow1/3_binary64_2532`
14×	`exp-diff_binary64_2513`
13×	`*-rgt-identity_binary64_2455`
12×	`*-lft-identity_binary64_2454` `pow-sqr_binary64_2438`
11×	`swap-sqr_binary64_2432` `distribute-rgt-out--_binary64_2419` `associate-/r/_binary64_2411`
9×	`log-div_binary64_2552` `div-sub_binary64_2470`
8×	`exp-lft-sqr_binary64_2520`
7×	`rem-sqrt-square_binary64_2478` `distribute-neg-out_binary64_2427`
6×	`cube-unmult_binary64_2502` `cube-mult_binary64_2495`
5×	`log-rec_binary64_2553` `pow-plus_binary64_2528` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417` `associate--r-_binary64_2404`
4×	`unpow1/2_binary64_2529` `remove-double-neg_binary64_2453` `associate-+r-_binary64_2399`
3×	`unpow2_binary64_2530` `unpow1_binary64_2523` `div-exp_binary64_2516` `+-rgt-identity_binary64_2450`
2×	`rem-3cbrt-lft_binary64_2490` `distribute-rgt1-in_binary64_2421` `associate--l-_binary64_2403`
1×	`unpow-1_binary64_2522` `prod-exp_binary64_2514` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `cube-div_binary64_2494` `rem-cbrt-cube_binary64_2489` `rem-square-sqrt_binary64_2477` `mul-1-neg_binary64_2457` `+-inverses_binary64_2444` `remove-double-div_binary64_2441` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413` `associate-+l-_binary64_2400`
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` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `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` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `/-rgt-identity_binary64_2456` `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_2445` `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` `associate-/l/_binary64_2412`

Counts

152 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	295	4353
1	828	4162
2	2124	3974
3	4678	3910
4	4984	3910
5	4967	3910

prune143.0ms (1.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	3	7	10
Picked	1	0	1
Done	0	2	2
Total	120	11	131

Error

22.2b

Counts

131 → 11

Compiler

Compiled 3436 to 1017 computations (70.4% saved)

regimes1.0s (12%)

Accuracy

Total 0.9b remaining (3.6%)

Threshold costs 0.9b (3.6%)

Compiler

Compiled 11224 to 5202 computations (53.7% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64_2395`
9×	`sub-neg_binary64_2458` `*-commutative_binary64_2396`
7×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
6×	`distribute-neg-in_binary64_2426`
4×	`unsub-neg_binary64_2459`
2×	`distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
1×	`1-exp_binary64_2509` `*-rgt-identity_binary64_2455`
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` `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` `*-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-neg-frac_binary64_2429` `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	18	55
1	29	55
2	38	55
3	50	55
4	65	55
5	74	55
6	80	55
7	82	55
8	76	55

end0.0ms (0%)

sample2.5s (29.8%)

Algorithm

1×

intervals

Results

338.0ms	2781×	body	1024	valid
176.0ms	1143×	body	2048	valid
108.0ms	1209×	body	512	valid
73.0ms	2289×	body	128	valid
37.0ms	578×	body	256	valid

Compiler

Compiled 2838 to 1320 computations (53.5% saved)

Iter	Nodes	Cost
0	10	17
1	21	17
2	48	17
3	129	17
4	231	17
5	425	17
6	500	17
7	515	17
8	534	17
9	535	17
10	504	17

Iter	Nodes	Cost
0	10	17
1	21	17
2	48	17
3	129	17
4	231	17
5	425	17
6	500	17
7	515	17
8	534	17
9	535	17
10	504	17

Details

analyze615.0ms (7.2%)

sample33.0ms (0.4%)

simplify30.0ms (0.4%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite52.0ms (0.6%)

series273.0ms (3.2%)

simplify87.0ms (1%)

prune53.0ms (0.6%)

localize12.0ms (0.1%)

rewrite103.0ms (1.2%)

series1.1s (12.8%)

simplify120.0ms (1.4%)

prune124.0ms (1.5%)

localize7.0ms (0.1%)

rewrite26.0ms (0.3%)

series144.0ms (1.7%)

simplify89.0ms (1%)

prune29.0ms (0.3%)

localize14.0ms (0.2%)

rewrite147.0ms (1.7%)

series1.6s (18.2%)

simplify192.0ms (2.2%)

prune143.0ms (1.7%)

regimes1.0s (12%)

bsearch8.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.5s (29.8%)

Profiling

Iter	Nodes	Cost
0	10	17
1	21	17
2	48	17
3	129	17
4	231	17
5	425	17
6	500	17
7	515	17
8	534	17
9	535	17
10	504	17