Details

analyze402.0ms (11.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

821×	`unsub-neg_binary64_2459`
715×	`distribute-rgt-neg-in_binary64_2423`
694×	`distribute-neg-in_binary64_2426`
613×	`sub-neg_binary64_2458`
525×	`distribute-lft-neg-in_binary64_2422`
516×	`+-commutative_binary64_2395`
436×	`neg-mul-1_binary64_2461`
434×	`neg-sub0_binary64_2460`
350×	`*-commutative_binary64_2396`
234×	`remove-double-neg_binary64_2453`
233×	`distribute-rgt1-in_binary64_2421`
174×	`distribute-rgt-out--_binary64_2419`
173×	`distribute-lft-neg-out_binary64_2424`
159×	`associate--r+_binary64_2401`
155×	`distribute-rgt-neg-out_binary64_2425`
140×	`distribute-rgt-in_binary64_2415` `associate-+l-_binary64_2400`
123×	`associate-l_binary64_2406`
120×	`distribute-lft-out_binary64_2416`
118×	`distribute-neg-out_binary64_2427`
114×	`cancel-sign-sub-inv_binary64_2431`
110×	`distribute-lft-in_binary64_2414`
109×	`associate-+l+_binary64_2398`
100×	`associate--l+_binary64_2402`
98×	`associate-+r-_binary64_2399`
93×	`associate-+r+_binary64_2397`
69×	`distribute-rgt-out_binary64_2418`
68×	`distribute-lft-out--_binary64_2417`
54×	`associate-r_binary64_2405`
45×	`associate--r-_binary64_2404`
37×	`associate--l-_binary64_2403`
36×	`*-lft-identity_binary64_2454`
35×	`cancel-sign-sub_binary64_2430`
32×	`distribute-lft1-in_binary64_2420`
28×	`*-rgt-identity_binary64_2455`
24×	`sub0-neg_binary64_2452`
15×	`+-rgt-identity_binary64_2450`
12×	`swap-sqr_binary64_2432`
5×	`+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `difference-of-sqr--1_binary64_2436`
4×	`--rgt-identity_binary64_2451` `+-inverses_binary64_2444`
1×	`1-exp_binary64_2509` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `log-div_binary64_2552` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `pow-plus_binary64_2528` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `exp-prod_binary64_2517` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-unmult_binary64_2502` `cube-mult_binary64_2495` `cube-div_binary64_2494` `cube-prod_binary64_2493` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `/-rgt-identity_binary64_2456` `div0_binary64_2446` `-inverses_binary64_2445` `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_2435` `difference-of-squares_binary64_2434` `unswap-sqr_binary64_2433` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	34	25
2	92	22
3	242	19
4	615	7
5	1524	7
6	2445	7
7	3083	7
8	3763	7
9	4076	7
10	4021	7
11	4034	7
12	4045	7
13	3887	7
14	4080	7
15	4314	7
16	4439	7
17	4654	7
18	4858	7
19	4985	7
20	4827	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 23 to 20 computations (13% saved)

sample34.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	256	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify249.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

821×	`unsub-neg_binary64_2459`
715×	`distribute-rgt-neg-in_binary64_2423`
694×	`distribute-neg-in_binary64_2426`
613×	`sub-neg_binary64_2458`
525×	`distribute-lft-neg-in_binary64_2422`
516×	`+-commutative_binary64_2395`
436×	`neg-mul-1_binary64_2461`
434×	`neg-sub0_binary64_2460`
350×	`*-commutative_binary64_2396`
234×	`remove-double-neg_binary64_2453`
233×	`distribute-rgt1-in_binary64_2421`
174×	`distribute-rgt-out--_binary64_2419`
173×	`distribute-lft-neg-out_binary64_2424`
159×	`associate--r+_binary64_2401`
155×	`distribute-rgt-neg-out_binary64_2425`
140×	`distribute-rgt-in_binary64_2415` `associate-+l-_binary64_2400`
123×	`associate-l_binary64_2406`
120×	`distribute-lft-out_binary64_2416`
118×	`distribute-neg-out_binary64_2427`
114×	`cancel-sign-sub-inv_binary64_2431`
110×	`distribute-lft-in_binary64_2414`
109×	`associate-+l+_binary64_2398`
100×	`associate--l+_binary64_2402`
98×	`associate-+r-_binary64_2399`
93×	`associate-+r+_binary64_2397`
69×	`distribute-rgt-out_binary64_2418`
68×	`distribute-lft-out--_binary64_2417`
54×	`associate-r_binary64_2405`
45×	`associate--r-_binary64_2404`
37×	`associate--l-_binary64_2403`
36×	`*-lft-identity_binary64_2454`
35×	`cancel-sign-sub_binary64_2430`
32×	`distribute-lft1-in_binary64_2420`
28×	`*-rgt-identity_binary64_2455`
24×	`sub0-neg_binary64_2452`
15×	`+-rgt-identity_binary64_2450`
12×	`swap-sqr_binary64_2432`
5×	`+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `difference-of-sqr--1_binary64_2436`
4×	`--rgt-identity_binary64_2451` `+-inverses_binary64_2444`
1×	`1-exp_binary64_2509` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `log-div_binary64_2552` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `pow-plus_binary64_2528` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `exp-prod_binary64_2517` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-unmult_binary64_2502` `cube-mult_binary64_2495` `cube-div_binary64_2494` `cube-prod_binary64_2493` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `/-rgt-identity_binary64_2456` `div0_binary64_2446` `-inverses_binary64_2445` `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_2435` `difference-of-squares_binary64_2434` `unswap-sqr_binary64_2433` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `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: 4 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	34	25
2	92	22
3	242	19
4	615	7
5	1524	7
6	2445	7
7	3083	7
8	3763	7
9	4076	7
10	4021	7
11	4034	7
12	4045	7
13	3887	7
14	4080	7
15	4314	7
16	4439	7
17	4654	7
18	4858	7
19	4985	7
20	4827	7

prune4.0ms (0.1%)

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

0.4b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite47.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
7×	`add-sqr-sqrt_binary64_2487`
6×	`associate-l_binary64_2406`
5×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-r_binary64_2405`
2×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`
1×	`unswap-sqr_binary64_2433`

Counts

2 → 36

Calls

2 calls:

7.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

5.0ms

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

Compiler

Compiled 356 to 232 computations (34.8% saved)

series67.0ms (1.9%)

Error

0.2b

Counts

2 → 6

Calls

2 calls:

39.0ms

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

24.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify105.0ms (3%)

Algorithm

1×	egg-herbie

Rules

427×	`log-div_binary64_2552`
331×	`associate-l_binary64_2406`
300×	`distribute-rgt-in_binary64_2415`
286×	`distribute-lft-in_binary64_2414`
261×	`sqr-pow_binary64_2437` `associate-*r/_binary64_2407`
229×	`associate-*l/_binary64_2408`
226×	`associate-+l+_binary64_2398`
225×	`*-commutative_binary64_2396`
193×	`associate-/l*_binary64_2410`
180×	`associate-r_binary64_2405`
168×	`cube-div_binary64_2494`
163×	`unswap-sqr_binary64_2433`
162×	`associate-/l/_binary64_2412`
158×	`associate-/r/_binary64_2411`
143×	`log-prod_binary64_2551`
132×	`exp-prod_binary64_2517`
125×	`cube-prod_binary64_2493` `associate-+r+_binary64_2397`
102×	`associate-/r*_binary64_2409`
101×	`pow-sqr_binary64_2438`
86×	`swap-sqr_binary64_2432`
85×	`+-commutative_binary64_2395`
45×	`*-lft-identity_binary64_2454`
41×	`*-rgt-identity_binary64_2455`
30×	`rem-sqrt-square_binary64_2478`
28×	`log-pow_binary64_2554`
27×	`times-frac_binary64_2471`
26×	`unpow3_binary64_2531`
23×	`cube-mult_binary64_2495`
21×	`distribute-rgt-out_binary64_2418`
17×	`exp-sqrt_binary64_2518`
16×	`pow-plus_binary64_2528`
15×	`distribute-lft-out_binary64_2416`
14×	`log-rec_binary64_2553`
9×	`unpow1/2_binary64_2529` `count-2_binary64_2413`
7×	`exp-lft-sqr_binary64_2520`
5×	`cube-unmult_binary64_2502` `sub-neg_binary64_2458`
4×	`distribute-rgt1-in_binary64_2421`
3×	`unpow2_binary64_2530` `distribute-lft1-in_binary64_2420`
1×	`unpow1_binary64_2523` `prod-exp_binary64_2514` `1-exp_binary64_2509` `exp-1-e_binary64_2508`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `div-exp_binary64_2516` `rec-exp_binary64_2515` `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-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` `div-sub_binary64_2470` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `unsub-neg_binary64_2459` `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_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`

Counts

42 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	349
1	108	301
2	323	292
3	595	290
4	903	290
5	1659	290
6	3654	290
7	4823	290
8	4984	290

prune33.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	5	32

Error

0.0b

Counts

32 → 5

Compiler

Compiled 297 to 193 computations (35% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

0.2b

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

rewrite62.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
7×	`associate-r_binary64_2405`
5×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
4×	`associate-l_binary64_2406`
3×	`sqrt-prod_binary64_2481`
2×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`

Counts

2 → 42

Calls

2 calls:

8.0ms

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

7.0ms

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

Compiler

Compiled 605 to 473 computations (21.8% saved)

series61.0ms (1.7%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

33.0ms

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

25.0ms

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify109.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

649×	`unswap-sqr_binary64_2433`
431×	`log-div_binary64_2552`
278×	`*-commutative_binary64_2396`
268×	`associate-*r/_binary64_2407`
234×	`associate-*l/_binary64_2408`
185×	`sqr-pow_binary64_2437`
168×	`associate-/l/_binary64_2412`
164×	`associate-/r/_binary64_2411`
160×	`associate-/l*_binary64_2410`
142×	`associate-l_binary64_2406`
134×	`associate-r_binary64_2405`
113×	`log-prod_binary64_2551`
105×	`distribute-rgt-in_binary64_2415`
89×	`distribute-lft-in_binary64_2414`
79×	`swap-sqr_binary64_2432`
72×	`pow-sqr_binary64_2438`
68×	`associate-/r*_binary64_2409`
57×	`associate-+l+_binary64_2398`
56×	`+-commutative_binary64_2395`
46×	`exp-prod_binary64_2517`
44×	`associate-+r+_binary64_2397`
36×	`rem-sqrt-square_binary64_2478`
29×	`cube-prod_binary64_2493`
19×	`distribute-lft-out_binary64_2416`
18×	`unpow3_binary64_2531`
17×	`exp-sqrt_binary64_2518`
14×	`log-rec_binary64_2553`
13×	`times-frac_binary64_2471`
12×	`pow-plus_binary64_2528` `*-rgt-identity_binary64_2455`
11×	`log-pow_binary64_2554`
10×	`*-lft-identity_binary64_2454`
9×	`unpow1/2_binary64_2529` `distribute-rgt-out_binary64_2418` `count-2_binary64_2413`
8×	`cube-div_binary64_2494`
6×	`exp-lft-sqr_binary64_2520`
5×	`cube-unmult_binary64_2502`
4×	`distribute-rgt1-in_binary64_2421`
3×	`unpow2_binary64_2530`
2×	`unpow1_binary64_2523` `distribute-lft1-in_binary64_2420`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `cube-mult_binary64_2495`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `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-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` `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_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`

Counts

48 → 38

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	442
1	151	349
2	524	337
3	787	335
4	1203	335
5	1733	335
6	4547	335
7	4962	335
8	5066	335

prune31.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Error

0.0b

Counts

43 → 5

Compiler

Compiled 348 to 254 computations (27% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `add-sqr-sqrt_binary64_2487` `associate-l_binary64_2406`
2×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
1×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

1 → 19

Calls

1 calls:

5.0ms

(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))

Compiler

Compiled 193 to 113 computations (41.5% saved)

series40.0ms (1.2%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

38.0ms

(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify79.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

678×	`associate-/l/_binary64_2412`
559×	`associate-/r/_binary64_2411`
350×	`distribute-rgt-in_binary64_2415`
315×	`distribute-lft-in_binary64_2414`
209×	`*-commutative_binary64_2396`
208×	`log-prod_binary64_2551`
180×	`sqr-pow_binary64_2437`
165×	`associate-l_binary64_2406`
152×	`times-frac_binary64_2471`
122×	`unswap-sqr_binary64_2433` `associate-r_binary64_2405`
116×	`associate-+l+_binary64_2398`
114×	`associate-/l*_binary64_2410`
75×	`pow-sqr_binary64_2438`
73×	`associate-+r+_binary64_2397`
58×	`distribute-rgt-out_binary64_2418`
53×	`exp-prod_binary64_2517`
48×	`associate-/r*_binary64_2409`
43×	`log-div_binary64_2552` `cube-prod_binary64_2493`
38×	`associate-*r/_binary64_2407`
27×	`log-pow_binary64_2554`
26×	`distribute-lft-out_binary64_2416`
19×	`count-2_binary64_2413` `associate-*l/_binary64_2408`
18×	`unpow3_binary64_2531`
17×	`pow-plus_binary64_2528` `*-lft-identity_binary64_2454`
16×	`+-commutative_binary64_2395`
14×	`cube-mult_binary64_2495`
12×	`swap-sqr_binary64_2432`
10×	`*-rgt-identity_binary64_2455`
9×	`distribute-rgt1-in_binary64_2421`
6×	`cube-unmult_binary64_2502`
5×	`distribute-lft1-in_binary64_2420`
4×	`/-rgt-identity_binary64_2456`
3×	`unpow2_binary64_2530`
1×	`unpow1/2_binary64_2529` `unpow1_binary64_2523` `1-exp_binary64_2509` `rem-sqrt-square_binary64_2478`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-rec_binary64_2553` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-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-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `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` `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

22 → 11

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	219
1	75	183
2	174	174
3	416	174
4	624	174
5	1003	174
6	1910	174
7	4650	174
8	4846	174

prune11.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	11	5	16

Error

0.0b

Counts

16 → 5

Compiler

Compiled 100 to 71 computations (29% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 t (.f64 (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008) (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)))
0.3b	(*.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)
0.3b	(*.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)
0.4b	(.f64 (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008) (*.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008))

rewrite148.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

65×	`pow1_binary64_2526`
38×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
32×	`pow-prod-down_binary64_2536`
23×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
20×	`add-sqr-sqrt_binary64_2487`
16×	`associate-l_binary64_2406`
11×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
8×	`associate-r_binary64_2405` `sqrt-prod_binary64_2481`
5×	`unswap-sqr_binary64_2433`
4×	`pow-prod-up_binary64_2535` `add-log-exp_binary64_2504` `pow-sqr_binary64_2438` `*-commutative_binary64_2396`
2×	`pow-plus_binary64_2528`
1×	`pow2_binary64_2546` `swap-sqr_binary64_2432`

Counts

4 → 106

Calls

4 calls:

13.0ms	(.f64 t (.f64 (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008) (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)))
9.0ms	(.f64 (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008) (*.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008))
5.0ms	(*.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)
5.0ms	(*.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)

Compiler

Compiled 1810 to 1042 computations (42.4% saved)

series115.0ms (3.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

37.0ms	(.f64 t (.f64 (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008) (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)))
27.0ms	(.f64 (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008) (*.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008))
22.0ms	(*.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)
22.0ms	(*.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)

Compiler

Compiled 360 to 291 computations (19.2% saved)

simplify114.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

641×	`unswap-sqr_binary64_2433`
432×	`distribute-rgt-in_binary64_2415`
416×	`*-commutative_binary64_2396`
399×	`distribute-lft-in_binary64_2414`
347×	`sqr-pow_binary64_2437`
195×	`associate-r_binary64_2405`
178×	`associate-l_binary64_2406`
148×	`associate-+l+_binary64_2398`
127×	`pow-sqr_binary64_2438`
126×	`exp-prod_binary64_2517`
123×	`associate-/l*_binary64_2410`
112×	`log-prod_binary64_2551`
99×	`swap-sqr_binary64_2432` `associate-+r+_binary64_2397`
98×	`cube-prod_binary64_2493`
67×	`associate-/l/_binary64_2412`
62×	`associate-*r/_binary64_2407`
54×	`associate-/r/_binary64_2411`
53×	`times-frac_binary64_2471`
44×	`+-commutative_binary64_2395`
34×	`associate-/r*_binary64_2409`
31×	`distribute-lft-out_binary64_2416`
28×	`rem-sqrt-square_binary64_2478`
25×	`log-div_binary64_2552` `cube-div_binary64_2494`
18×	`unpow3_binary64_2531`
15×	`pow-plus_binary64_2528` `cube-unmult_binary64_2502` `distribute-rgt-out_binary64_2418`
14×	`*-rgt-identity_binary64_2455`
13×	`log-pow_binary64_2554` `*-lft-identity_binary64_2454`
12×	`unpow1/2_binary64_2529` `associate-*l/_binary64_2408`
8×	`count-2_binary64_2413`
5×	`cube-mult_binary64_2495`
4×	`unpow2_binary64_2530` `unpow1_binary64_2523` `exp-sqrt_binary64_2518`
2×	`exp-lft-sqr_binary64_2520`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-square-sqrt_binary64_2477` `distribute-rgt1-in_binary64_2421` `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` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `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-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` `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_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`

Counts

118 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1011
1	197	861
2	783	837
3	1131	825
4	1812	825
5	3607	825
6	5098	825

prune66.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	91	5	96

Error

0.0b

Counts

96 → 5

Compiler

Compiled 939 to 577 computations (38.6% saved)

regimes175.0ms (5%)

Accuracy

Total 0.3b remaining (98.5%)

Threshold costs 0.3b (98.5%)

Compiler

Compiled 1263 to 1019 computations (19.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3× *-commutative_binary64_2396

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 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 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 +-commutative_binary64_2395

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	9	10

end0.0ms (0%)

sample1.5s (43.4%)

Algorithm

1×

intervals

Results

644.0ms	8000×	body	256	valid
112.0ms	8000×	pre	128	true

Compiler

Compiled 441 to 357 computations (19% saved)

Details

analyze402.0ms (11.4%)

sample34.0ms (1%)

simplify249.0ms (7.1%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

rewrite47.0ms (1.3%)

series67.0ms (1.9%)

simplify105.0ms (3%)

prune33.0ms (0.9%)

localize6.0ms (0.2%)

rewrite62.0ms (1.8%)

series61.0ms (1.7%)

simplify109.0ms (3.1%)

prune31.0ms (0.9%)

localize4.0ms (0.1%)

rewrite19.0ms (0.5%)

series40.0ms (1.2%)

simplify79.0ms (2.2%)

prune11.0ms (0.3%)

localize6.0ms (0.2%)

rewrite148.0ms (4.2%)

series115.0ms (3.3%)

simplify114.0ms (3.2%)

prune66.0ms (1.9%)

regimes175.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (43.4%)

Profiling