Details

analyze404.0ms (6.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

130×	`cancel-sign-sub-inv_binary64_2431`
81×	`sub-neg_binary64_2458`
64×	`distribute-rgt-neg-in_binary64_2423`
60×	`distribute-rgt-in_binary64_2415`
48×	`associate-r_binary64_2405`
45×	`neg-mul-1_binary64_2461`
44×	`unsub-neg_binary64_2459` `distribute-lft-neg-out_binary64_2424` `associate--r+_binary64_2401`
40×	`distribute-lft-in_binary64_2414`
34×	`neg-sub0_binary64_2460`
32×	`associate-l_binary64_2406`
29×	`distribute-neg-in_binary64_2426`
28×	`distribute-lft-neg-in_binary64_2422` `+-commutative_binary64_2395`
25×	`*-commutative_binary64_2396`
22×	`sub0-neg_binary64_2452` `associate-+l-_binary64_2400`
20×	`*-lft-identity_binary64_2454`
18×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
16×	`distribute-rgt-neg-out_binary64_2425`
12×	`+-lft-identity_binary64_2449` `associate-+l+_binary64_2398`
10×	`remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451`
8×	`associate--r-_binary64_2404`
6×	`sin-neg_binary64_2595` `*-rgt-identity_binary64_2455`
4×	`+-rgt-identity_binary64_2450` `associate--l+_binary64_2402` `associate-+r-_binary64_2399` `associate-+r+_binary64_2397`
3×	`cos-neg_binary64_2596`
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` `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` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `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--l-_binary64_2403`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	49	56
2	80	56
3	123	56
4	179	56
5	257	56
6	390	56
7	500	56
8	577	56
9	544	56
10	493	56
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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample49.0ms (0.7%)

Algorithm

1×

intervals

Results

17.0ms	65×	body	1024	valid
10.0ms	36×	body	512	valid
9.0ms	139×	body	128	valid
2.0ms	16×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`cancel-sign-sub-inv_binary64_2431`
23×	`sub-neg_binary64_2458` `distribute-rgt-neg-in_binary64_2423`
19×	`unsub-neg_binary64_2459`
17×	`neg-mul-1_binary64_2461`
16×	`distribute-rgt-in_binary64_2415`
14×	`neg-sub0_binary64_2460` `associate--r+_binary64_2401`
12×	`distribute-lft-neg-out_binary64_2424` `distribute-lft-neg-in_binary64_2422`
11×	`distribute-lft-in_binary64_2414`
10×	`+-commutative_binary64_2395`
9×	`distribute-neg-in_binary64_2426` `*-commutative_binary64_2396`
8×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
7×	`+-lft-identity_binary64_2449`
6×	`*-lft-identity_binary64_2454` `sub0-neg_binary64_2452` `associate-+l-_binary64_2400`
5×	`remove-double-neg_binary64_2453` `distribute-rgt-neg-out_binary64_2425` `associate-r_binary64_2405`
3×	`--rgt-identity_binary64_2451` `associate-+l+_binary64_2398`
2×	`*-rgt-identity_binary64_2455` `associate--r-_binary64_2404`
1×	`1-exp_binary64_2509` `+-rgt-identity_binary64_2450` `cancel-sign-sub_binary64_2430` `associate-l_binary64_2406` `associate--l+_binary64_2402` `associate-+r-_binary64_2399` `associate-+r+_binary64_2397`
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-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `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--l-_binary64_2403`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cos.f64 y)
0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite72.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_2487`
8×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`add-log-exp_binary64_2504` `associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`
1×	`diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 55

Calls

4 calls:

5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
4.0ms	(*.f64 x (cos.f64 y))
1.0ms	(cos.f64 y)

Compiler

Compiled 833 to 203 computations (75.6% saved)

series581.0ms (8.8%)

Error

0.1b

Counts

4 → 41

Calls

4 calls:

325.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
108.0ms	(*.f64 x (cos.f64 y))
107.0ms	(*.f64 z (sin.f64 y))
15.0ms	(cos.f64 y)

Compiler

Compiled 1088 to 719 computations (33.9% saved)

simplify106.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

438×	`cancel-sign-sub-inv_binary64_2431`
388×	`times-frac_binary64_2471`
356×	`sub-neg_binary64_2458`
284×	`*-commutative_binary64_2396`
256×	`distribute-rgt-neg-in_binary64_2423`
224×	`distribute-lft-neg-in_binary64_2422`
202×	`distribute-neg-in_binary64_2426`
189×	`unswap-sqr_binary64_2433`
185×	`unsub-neg_binary64_2459`
172×	`distribute-rgt-in_binary64_2415`
164×	`neg-mul-1_binary64_2461`
150×	`neg-sub0_binary64_2460`
135×	`distribute-lft-in_binary64_2414`
127×	`sqr-pow_binary64_2437`
123×	`associate-l_binary64_2406`
117×	`associate-+l-_binary64_2400`
115×	`associate-+l+_binary64_2398`
112×	`associate-r_binary64_2405`
98×	`associate-+r+_binary64_2397`
92×	`+-commutative_binary64_2395`
63×	`associate--l+_binary64_2402`
58×	`sub0-neg_binary64_2452`
52×	`associate-+r-_binary64_2399`
50×	`exp-prod_binary64_2517`
42×	`difference-of-squares_binary64_2434` `distribute-rgt-out_binary64_2418`
37×	`+-rgt-identity_binary64_2450`
36×	`exp-sum_binary64_2511` `distribute-neg-out_binary64_2427` `associate--r+_binary64_2401`
34×	`cube-prod_binary64_2493`
33×	`distribute-rgt-out--_binary64_2419`
30×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `pow-sqr_binary64_2438`
26×	`*-lft-identity_binary64_2454` `distribute-lft-out_binary64_2416`
23×	`log-prod_binary64_2551` `*-rgt-identity_binary64_2455`
22×	`distribute-lft-neg-out_binary64_2424`
20×	`remove-double-neg_binary64_2453` `swap-sqr_binary64_2432`
19×	`rem-sqrt-square_binary64_2478`
17×	`distribute-lft-out--_binary64_2417`
16×	`exp-diff_binary64_2513`
15×	`cancel-sign-sub_binary64_2430` `distribute-rgt-neg-out_binary64_2425` `associate--l-_binary64_2403`
14×	`unpow3_binary64_2531` `cube-unmult_binary64_2502`
12×	`associate-/l*_binary64_2410`
10×	`unpow1/2_binary64_2529`
8×	`pow-plus_binary64_2528` `sqr-neg_binary64_2479` `associate-/r*_binary64_2409`
7×	`--rgt-identity_binary64_2451`
6×	`cube-neg_binary64_2492`
5×	`div-sub_binary64_2470` `associate--r-_binary64_2404`
4×	`cube-mult_binary64_2495`
3×	`+-lft-identity_binary64_2449` `distribute-frac-neg_binary64_2428` `distribute-rgt1-in_binary64_2421` `associate-*r/_binary64_2407`
2×	`unpow2_binary64_2530` `associate-/l/_binary64_2412`
1×	`cos-neg_binary64_2596` `sin-neg_binary64_2595` `unpow1_binary64_2523` `div-exp_binary64_2516` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `count-2_binary64_2413` `associate-/r/_binary64_2411` `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` `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` `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-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477` `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` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `distribute-neg-frac_binary64_2429` `distribute-lft1-in_binary64_2420`

Counts

96 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1116
1	322	1080
2	913	1062
3	1694	1056
4	3325	1056
5	4498	1056
6	5017	1056

prune49.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	7	42

Error

0.0b

Counts

42 → 7

Compiler

Compiled 755 to 281 computations (62.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
0.1b	(*.f64 z (sin.f64 y))
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
0.4b	(pow.f64 (cos.f64 y) 3)

rewrite137.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64_2487` `cbrt-prod_binary64_2496`
18×	`associate-r_binary64_2405`
17×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
10×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
9×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
8×	`add-cbrt-cube_binary64_2501`
6×	`unswap-sqr_binary64_2433` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `sqr-pow_binary64_2437`
3×	`pow-unpow_binary64_2542` `unpow3_binary64_2531` `cube-mult_binary64_2495`
2×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `rem-cube-cbrt_binary64_2488` `pow1/3_binary64_2547` `rem-cbrt-cube_binary64_2489`

Counts

4 → 96

Calls

4 calls:

9.0ms	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
4.0ms	(*.f64 z (sin.f64 y))
3.0ms	(pow.f64 (cos.f64 y) 3)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

Compiler

Compiled 1763 to 843 computations (52.2% saved)

series306.0ms (4.6%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

113.0ms	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
100.0ms	(*.f64 z (sin.f64 y))
50.0ms	(pow.f64 (cos.f64 y) 3)
17.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

Compiler

Compiled 1014 to 737 computations (27.3% saved)

simplify119.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

325×	`*-commutative_binary64_2396`
310×	`cancel-sign-sub-inv_binary64_2431`
306×	`sub-neg_binary64_2458`
272×	`unswap-sqr_binary64_2433`
260×	`log-prod_binary64_2551`
256×	`exp-prod_binary64_2517`
205×	`cube-prod_binary64_2493`
190×	`associate-+l+_binary64_2398`
175×	`sqr-pow_binary64_2437`
161×	`associate-r_binary64_2405`
156×	`associate-l_binary64_2406`
150×	`distribute-rgt-neg-in_binary64_2423`
147×	`associate-+r+_binary64_2397`
129×	`distribute-lft-neg-in_binary64_2422`
111×	`associate-+l-_binary64_2400`
99×	`neg-mul-1_binary64_2461`
87×	`neg-sub0_binary64_2460`
82×	`unpow3_binary64_2531` `+-commutative_binary64_2395`
69×	`cube-mult_binary64_2495`
67×	`associate--l+_binary64_2402`
63×	`swap-sqr_binary64_2432`
55×	`log-pow_binary64_2554` `associate-/l*_binary64_2410`
49×	`pow-sqr_binary64_2438`
48×	`associate-+r-_binary64_2399`
42×	`unsub-neg_binary64_2459`
35×	`pow-plus_binary64_2528` `distribute-rgt-in_binary64_2415`
34×	`associate--r+_binary64_2401`
28×	`distribute-rgt-out_binary64_2418`
26×	`distribute-lft-in_binary64_2414`
25×	`*-lft-identity_binary64_2454`
24×	`*-rgt-identity_binary64_2455`
22×	`cube-unmult_binary64_2502` `distribute-rgt-out--_binary64_2419`
19×	`distribute-lft-out_binary64_2416`
18×	`rem-sqrt-square_binary64_2478`
17×	`associate-/l/_binary64_2412` `associate--l-_binary64_2403`
15×	`+-rgt-identity_binary64_2450`
14×	`sub0-neg_binary64_2452`
12×	`distribute-lft-out--_binary64_2417` `count-2_binary64_2413` `associate-*r/_binary64_2407`
7×	`times-frac_binary64_2471`
6×	`unpow1/2_binary64_2529` `distribute-neg-in_binary64_2426` `associate-/r/_binary64_2411` `associate-/r*_binary64_2409`
5×	`associate--r-_binary64_2404`
4×	`unpow2_binary64_2530` `rem-cbrt-cube_binary64_2489` `distribute-lft-neg-out_binary64_2424`
3×	`distribute-rgt1-in_binary64_2421` `associate-*l/_binary64_2408`
2×	`unpow1_binary64_2523` `exp-sum_binary64_2511`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-lft_binary64_2490` `rem-cube-cbrt_binary64_2488` `rem-square-sqrt_binary64_2477`
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` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `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` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `+-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_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425` `distribute-lft1-in_binary64_2420`

Counts

125 → 78

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	161	1267
1	341	1178
2	1079	1154
3	2250	1148
4	4312	1145
5	4988	1145
6	4910	1145

prune87.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	75	10	85

Error

0.0b

Counts

85 → 10

Compiler

Compiled 1401 to 591 computations (57.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.3b	(cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 9)))
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 9))
0.8b	(pow.f64 (cos.f64 y) 9)

rewrite103.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64_2496`
15×	`add-sqr-sqrt_binary64_2487`
13×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`unpow-prod-down_binary64_2544`
7×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
6×	`add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504`
3×	`pow-unpow_binary64_2542` `sqr-pow_binary64_2437` `associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`pow1/3_binary64_2547`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`

Counts

4 → 68

Calls

4 calls:

4.0ms	(*.f64 z (sin.f64 y))
3.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 9)))
3.0ms	(pow.f64 (cos.f64 y) 9)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 9))

Compiler

Compiled 1316 to 715 computations (45.7% saved)

series305.0ms (4.6%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

101.0ms	(*.f64 z (sin.f64 y))
94.0ms	(pow.f64 (cos.f64 y) 9)
59.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 9))
21.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 9)))

Compiler

Compiled 987 to 757 computations (23.3% saved)

simplify112.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

453×	`associate-l_binary64_2406`
386×	`associate-r_binary64_2405`
280×	`unswap-sqr_binary64_2433`
258×	`distribute-rgt-neg-in_binary64_2423`
242×	`distribute-lft-neg-in_binary64_2422`
174×	`neg-mul-1_binary64_2461`
162×	`neg-sub0_binary64_2460`
144×	`cancel-sign-sub-inv_binary64_2431`
134×	`sub-neg_binary64_2458`
124×	`log-prod_binary64_2551`
117×	`distribute-rgt-out--_binary64_2419`
113×	`associate-+l-_binary64_2400`
109×	`sqr-pow_binary64_2437`
105×	`distribute-lft-out--_binary64_2417`
104×	`*-commutative_binary64_2396`
103×	`associate-+l+_binary64_2398`
88×	`exp-prod_binary64_2517`
84×	`distribute-rgt-out_binary64_2418`
78×	`+-commutative_binary64_2395`
77×	`cube-prod_binary64_2493`
71×	`associate-+r+_binary64_2397`
68×	`associate--l+_binary64_2402`
62×	`distribute-lft-out_binary64_2416`
52×	`swap-sqr_binary64_2432`
45×	`associate-+r-_binary64_2399`
43×	`pow-plus_binary64_2528`
37×	`log-pow_binary64_2554` `cube-unmult_binary64_2502`
35×	`associate--r+_binary64_2401`
29×	`unpow3_binary64_2531`
27×	`distribute-rgt-in_binary64_2415`
26×	`pow-sqr_binary64_2438`
21×	`associate-/l*_binary64_2410`
19×	`distribute-lft-in_binary64_2414`
18×	`*-lft-identity_binary64_2454` `associate--l-_binary64_2403`
17×	`*-rgt-identity_binary64_2455`
16×	`unsub-neg_binary64_2459`
15×	`+-rgt-identity_binary64_2450`
14×	`sub0-neg_binary64_2452`
12×	`cube-mult_binary64_2495`
10×	`rem-sqrt-square_binary64_2478`
9×	`count-2_binary64_2413`
8×	`associate-/l/_binary64_2412`
6×	`cancel-sign-sub_binary64_2430` `distribute-neg-in_binary64_2426` `distribute-lft-neg-out_binary64_2424` `associate--r-_binary64_2404`
5×	`associate-*r/_binary64_2407`
4×	`unpow1/2_binary64_2529`
3×	`unpow2_binary64_2530`
2×	`unpow1_binary64_2523` `rem-3cbrt-lft_binary64_2490` `distribute-rgt1-in_binary64_2421` `associate-/r/_binary64_2411` `associate-*l/_binary64_2408`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-cbrt-cube_binary64_2489` `times-frac_binary64_2471` `distribute-rgt-neg-out_binary64_2425` `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` `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` `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-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-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `+-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` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `associate-/r_binary64_2409`

Counts

94 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	141	1180
1	295	1149
2	765	1138
3	2154	1107
4	4601	1097
5	4966	1097
6	4909	1097

prune54.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	38	10	48

Error

0.0b

Counts

48 → 10

Compiler

Compiled 850 to 489 computations (42.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite92.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-exp-log_binary64_2503`
12×	`cbrt-prod_binary64_2496`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
7×	`pow1_binary64_2526` `add-cbrt-cube_binary64_2501` `prod-exp_binary64_2514`
6×	`unpow-prod-down_binary64_2544` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504`
3×	`pow1/3_binary64_2547` `pow-unpow_binary64_2542` `cbrt-unprod_binary64_2498`
2×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
1×	`unpow2_binary64_2530` `sqr-pow_binary64_2437` `pow-prod-down_binary64_2536` `associate-l_binary64_2406` `*-commutative_binary64_2396`

Counts

4 → 66

Calls

4 calls:

9.0ms	(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1451 to 521 computations (64.1% saved)

series533.0ms (8.1%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

161.0ms	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
121.0ms	(cbrt.f64 (cos.f64 y))
114.0ms	(cbrt.f64 (cos.f64 y))
111.0ms	(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))

Compiler

Compiled 1091 to 772 computations (29.2% saved)

simplify107.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

360×	`sqr-pow_binary64_2437`
355×	`log-prod_binary64_2551`
305×	`*-commutative_binary64_2396`
275×	`sub-neg_binary64_2458`
249×	`cancel-sign-sub-inv_binary64_2431`
210×	`unswap-sqr_binary64_2433`
200×	`exp-prod_binary64_2517`
191×	`associate-+l+_binary64_2398`
159×	`associate-+r+_binary64_2397`
152×	`cube-prod_binary64_2493`
148×	`associate-l_binary64_2406`
130×	`pow-sqr_binary64_2438`
120×	`log-pow_binary64_2554`
118×	`associate-r_binary64_2405`
97×	`associate-+l-_binary64_2400`
89×	`distribute-rgt-neg-in_binary64_2423`
80×	`distribute-rgt-in_binary64_2415`
78×	`distribute-lft-neg-in_binary64_2422`
73×	`neg-mul-1_binary64_2461`
65×	`neg-sub0_binary64_2460` `+-commutative_binary64_2395`
58×	`associate-/l*_binary64_2410`
56×	`unsub-neg_binary64_2459` `swap-sqr_binary64_2432` `distribute-lft-in_binary64_2414`
54×	`sub0-neg_binary64_2452`
49×	`unpow3_binary64_2531`
43×	`associate--l+_binary64_2402`
41×	`associate-+r-_binary64_2399`
40×	`distribute-rgt-out_binary64_2418`
39×	`rem-sqrt-square_binary64_2478`
36×	`cube-mult_binary64_2495`
30×	`associate--r+_binary64_2401`
27×	`pow-plus_binary64_2528` `+-rgt-identity_binary64_2450`
26×	`*-lft-identity_binary64_2454`
25×	`distribute-lft-out_binary64_2416`
24×	`*-rgt-identity_binary64_2455`
20×	`remove-double-neg_binary64_2453`
18×	`distribute-rgt-out--_binary64_2419`
17×	`cube-unmult_binary64_2502`
16×	`distribute-neg-in_binary64_2426`
14×	`associate-/l/_binary64_2412`
12×	`unpow1/2_binary64_2529` `associate--l-_binary64_2403`
10×	`unpow2_binary64_2530` `distribute-lft-out--_binary64_2417`
9×	`unpow1_binary64_2523` `associate-*r/_binary64_2407`
7×	`--rgt-identity_binary64_2451` `distribute-lft-neg-out_binary64_2424` `count-2_binary64_2413`
6×	`times-frac_binary64_2471` `+-lft-identity_binary64_2449` `associate--r-_binary64_2404`
4×	`distribute-rgt1-in_binary64_2421` `associate-/r/_binary64_2411` `associate-/r*_binary64_2409`
3×	`associate-*l/_binary64_2408`
2×	`unpow1/3_binary64_2532` `exp-sum_binary64_2511` `/-rgt-identity_binary64_2456`
1×	`cos-neg_binary64_2596` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-square-sqrt_binary64_2477` `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` `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` `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` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `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-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `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_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425`

Counts

92 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	982
1	283	890
2	854	876
3	1832	858
4	3788	858
5	4854	858
6	5012	858

prune58.0ms (0.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	58	10	68

Error

0.0b

Counts

68 → 10

Compiler

Compiled 1046 to 393 computations (62.4% saved)

regimes503.0ms (7.6%)

Accuracy

Total 0.1b remaining (82%)

Threshold costs 0.1b (82%)

Compiler

Compiled 4480 to 3206 computations (28.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_2396`
4×	`sub-neg_binary64_2458` `+-commutative_binary64_2395`
3×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
2×	`cancel-sign-sub-inv_binary64_2431` `distribute-rgt-neg-in_binary64_2423`
1×	`distribute-lft-neg-out_binary64_2424` `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` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	32	14
4	36	14
5	37	14
6	37	14

end0.0ms (0%)

sample2.7s (41.7%)

Algorithm

1×

intervals

Results

544.0ms	2034×	body	1024	valid
327.0ms	4521×	body	128	valid
178.0ms	974×	body	512	valid
64.0ms	469×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 1133 to 813 computations (28.2% saved)

Iter	Nodes	Cost
0	22	56
1	49	56
2	80	56
3	123	56
4	179	56
5	257	56
6	390	56
7	500	56
8	577	56
9	544	56
10	493	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

Iter	Nodes	Cost
0	22	56
1	49	56
2	80	56
3	123	56
4	179	56
5	257	56
6	390	56
7	500	56
8	577	56
9	544	56
10	493	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

Details

analyze404.0ms (6.1%)

sample49.0ms (0.7%)

simplify15.0ms (0.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite72.0ms (1.1%)

series581.0ms (8.8%)

simplify106.0ms (1.6%)

prune49.0ms (0.7%)

localize10.0ms (0.2%)

rewrite137.0ms (2.1%)

series306.0ms (4.6%)

simplify119.0ms (1.8%)

prune87.0ms (1.3%)

localize12.0ms (0.2%)

rewrite103.0ms (1.6%)

series305.0ms (4.6%)

simplify112.0ms (1.7%)

prune54.0ms (0.8%)

localize12.0ms (0.2%)

rewrite92.0ms (1.4%)

series533.0ms (8.1%)

simplify107.0ms (1.6%)

prune58.0ms (0.9%)

regimes503.0ms (7.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.7s (41.7%)

Profiling

Iter	Nodes	Cost
0	22	56
1	49	56
2	80	56
3	123	56
4	179	56
5	257	56
6	390	56
7	500	56
8	577	56
9	544	56
10	493	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14