Details

analyze664.0ms (2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample367.0ms (1.1%)

Algorithm

1×

intervals

Results

188.0ms	72×	body	1024	invalid
75.0ms	158×	body	1024	valid
63.0ms	55×	body	512	valid
9.0ms	12×	body	2048	valid
7.0ms	35×	body	512	invalid
3.0ms	19×	body	256	valid
2.0ms	30×	body	128	invalid
2.0ms	13×	body	256	invalid
1.0ms	12×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify734.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

928×	`exp-prod_binary64_2517`
631×	`distribute-lft-out--_binary64_2417`
576×	`distribute-lft-out_binary64_2416`
502×	`associate--l+_binary64_2402`
434×	`associate--r+_binary64_2401`
420×	`sub-neg_binary64_2458`
360×	`associate-+l+_binary64_2398`
179×	`cancel-sign-sub-inv_binary64_2431`
130×	`distribute-rgt-in_binary64_2415`
100×	`distribute-rgt1-in_binary64_2421`
83×	`unsub-neg_binary64_2459`
80×	`distribute-lft-in_binary64_2414`
75×	`associate-/r/_binary64_2411`
72×	`associate-/l*_binary64_2410`
70×	`distribute-neg-in_binary64_2426` `associate-r_binary64_2405`
68×	`neg-sub0_binary64_2460`
65×	`neg-mul-1_binary64_2461`
62×	`associate-l_binary64_2406`
61×	`associate-+l-_binary64_2400`
55×	`exp-sum_binary64_2511` `div-sub_binary64_2470`
49×	`distribute-lft-neg-in_binary64_2422`
48×	`distribute-rgt-neg-in_binary64_2423`
47×	`associate--r-_binary64_2404` `*-commutative_binary64_2396`
43×	`distribute-lft-neg-out_binary64_2424`
42×	`associate--l-_binary64_2403`
39×	`sqr-pow_binary64_2437`
32×	`distribute-neg-frac_binary64_2429`
30×	`sub0-neg_binary64_2452` `distribute-rgt-neg-out_binary64_2425`
29×	`associate-+r-_binary64_2399`
24×	`pow-sqr_binary64_2438`
23×	`*-rgt-identity_binary64_2455`
21×	`pow-plus_binary64_2528` `distribute-neg-out_binary64_2427`
20×	`+-inverses_binary64_2444`
19×	`distribute-lft1-in_binary64_2420`
18×	`*-lft-identity_binary64_2454`
17×	`times-frac_binary64_2471`
16×	`count-2_binary64_2413`
14×	`unswap-sqr_binary64_2433`
12×	`exp-diff_binary64_2513`
11×	`+-lft-identity_binary64_2449`
10×	`distribute-rgt-out_binary64_2418`
9×	`associate-/r_binary64_2409` `associate-l/_binary64_2408`
8×	`exp-lft-sqr_binary64_2520` `remove-double-neg_binary64_2453`
7×	`associate-+r+_binary64_2397` `+-commutative_binary64_2395`
5×	`/-rgt-identity_binary64_2456` `--rgt-identity_binary64_2451` `associate-*r/_binary64_2407`
4×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `difference-of-squares_binary64_2434`
3×	`pow-base-1_binary64_2525` `exp-neg_binary64_2512`
2×	`prod-exp_binary64_2514` `cube-unmult_binary64_2502` `+-rgt-identity_binary64_2450` `div0_binary64_2446` `difference-of-sqr-1_binary64_2435` `swap-sqr_binary64_2432`
1×	`unpow1/2_binary64_2529` `div-exp_binary64_2516` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `cube-prod_binary64_2493` `mul-1-neg_binary64_2457` `*-inverses_binary64_2445` `distribute-frac-neg_binary64_2428` `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` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow3_binary64_2531` `unpow2_binary64_2530` `exp-to-pow_binary64_2527` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `rec-exp_binary64_2515` `e-exp-1_binary64_2510` `1-exp_binary64_2509` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-mult_binary64_2495` `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-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `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-rgt-out--_binary64_2419`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	22	18
2	51	18
3	114	18
4	197	18
5	433	18
6	2503	18

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

58.0b

Counts

3 → 1

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.7b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite116.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

57.9b

Rules

13×	`add-sqr-sqrt_binary64_2487`
11×	`*-un-lft-identity_binary64_2465`
9×	`cancel-sign-sub-inv_binary64_2431`
7×	`add-cube-cbrt_binary64_2500`
5×	`associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
3×	`sub-neg_binary64_2458` `associate-l_binary64_2406`
2×	`flip3--_binary64_2469` `flip--_binary64_2440` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417` `associate-*r/_binary64_2407`
1×	`diff-log_binary64_2557` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`

Counts

2 → 46

Calls

2 calls:

8.0ms	(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 894 to 253 computations (71.7% saved)

series327.0ms (1%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

177.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
138.0ms	(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 640 to 476 computations (25.6% saved)

simplify290.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

546×	`unsub-neg_binary64_2459`
285×	`unswap-sqr_binary64_2433`
204×	`distribute-rgt-in_binary64_2415`
199×	`sub-neg_binary64_2458`
198×	`*-commutative_binary64_2396`
187×	`distribute-rgt-neg-out_binary64_2425`
165×	`distribute-lft-in_binary64_2414`
158×	`neg-sub0_binary64_2460`
157×	`exp-prod_binary64_2517`
154×	`neg-mul-1_binary64_2461`
117×	`associate-r_binary64_2405`
116×	`associate-*r/_binary64_2407`
112×	`associate-*l/_binary64_2408`
110×	`associate-l_binary64_2406`
105×	`distribute-neg-frac_binary64_2429`
104×	`distribute-rgt-neg-in_binary64_2423`
98×	`cancel-sign-sub-inv_binary64_2431` `distribute-neg-in_binary64_2426`
97×	`sqr-pow_binary64_2437`
92×	`distribute-lft-neg-in_binary64_2422`
91×	`associate-+r+_binary64_2397`
88×	`associate-+l+_binary64_2398`
81×	`distribute-neg-out_binary64_2427`
77×	`times-frac_binary64_2471`
64×	`*-rgt-identity_binary64_2455`
63×	`log-prod_binary64_2551`
61×	`*-lft-identity_binary64_2454` `+-commutative_binary64_2395`
60×	`exp-sum_binary64_2511`
58×	`cube-prod_binary64_2493`
54×	`associate--r+_binary64_2401` `associate-+l-_binary64_2400`
53×	`prod-exp_binary64_2514`
51×	`swap-sqr_binary64_2432`
47×	`pow-sqr_binary64_2438`
46×	`distribute-lft-neg-out_binary64_2424`
43×	`cube-div_binary64_2494`
42×	`associate-+r-_binary64_2399`
37×	`log-div_binary64_2552` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
36×	`difference-of-squares_binary64_2434`
32×	`associate-/r*_binary64_2409`
31×	`cancel-sign-sub_binary64_2430`
29×	`sub0-neg_binary64_2452`
26×	`associate--l+_binary64_2402`
25×	`exp-sqrt_binary64_2518`
24×	`exp-diff_binary64_2513`
23×	`+-rgt-identity_binary64_2450`
20×	`div-exp_binary64_2516`
19×	`div-sub_binary64_2470` `distribute-rgt-out_binary64_2418`
17×	`associate-/l*_binary64_2410`
12×	`exp-neg_binary64_2512`
9×	`pow-plus_binary64_2528`
8×	`unpow3_binary64_2531`
7×	`log-pow_binary64_2554` `distribute-frac-neg_binary64_2428` `associate-/l/_binary64_2412` `associate--l-_binary64_2403`
6×	`cube-unmult_binary64_2502` `/-rgt-identity_binary64_2456`
5×	`cube-mult_binary64_2495` `difference-of-sqr--1_binary64_2436` `distribute-rgt-out--_binary64_2419` `distribute-lft-out_binary64_2416`
4×	`rem-log-exp_binary64_2506` `*-inverses_binary64_2445` `distribute-lft1-in_binary64_2420`
3×	`rem-sqrt-square_binary64_2478` `distribute-rgt1-in_binary64_2421` `distribute-lft-out--_binary64_2417`
2×	`pow-base-1_binary64_2525` `exp-lft-sqr_binary64_2520` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `count-2_binary64_2413`
1×	`log-rec_binary64_2553` `unpow2_binary64_2530` `unpow1_binary64_2523` `rec-exp_binary64_2515` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-lft_binary64_2490` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `+-lft-identity_binary64_2449` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `associate--r-_binary64_2404`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `mul-1-neg_binary64_2457` `div0_binary64_2446` `remove-double-div_binary64_2441` `difference-of-sqr-1_binary64_2435` `associate-/r/_binary64_2411`

Counts

62 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1208
1	334	1097
2	1046	1068
3	3182	1068

prune111.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	3	121

Error

0.1b

Counts

121 → 3

Compiler

Compiled 2321 to 836 computations (64% saved)

localize64.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(.f64 (cos.f64 re) (neg.f64 (+.f64 (.f64 1/60 (pow.f64 im 5)) (+.f64 (.f64 1/3 (pow.f64 im 3)) (+.f64 (.f64 im 2) (*.f64 1/2520 (pow.f64 im 7)))))))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite807.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`add-sqr-sqrt_binary64_2487`
36×	`associate-r_binary64_2405`
21×	`add-exp-log_binary64_2503`
18×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
12×	`add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544` `associate-l_binary64_2406`
11×	`unswap-sqr_binary64_2433`
10×	`prod-exp_binary64_2514`
6×	`pow1_binary64_2526` `sqr-pow_binary64_2437`
4×	`add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `cube-prod_binary64_2493` `*-commutative_binary64_2396`
3×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
2×	`distribute-neg-in_binary64_2426` `distribute-neg-frac_binary64_2429` `associate-*r/_binary64_2407`
1×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `pow-prod-down_binary64_2536` `distribute-rgt-neg-out_binary64_2425` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3-+_binary64_2468` `flip-+_binary64_2439` `neg-mul-1_binary64_2461`

Counts

4 → 111

Calls

4 calls:

13.0ms	(.f64 (cos.f64 re) (neg.f64 (+.f64 (.f64 1/60 (pow.f64 im 5)) (+.f64 (.f64 1/3 (pow.f64 im 3)) (+.f64 (.f64 im 2) (*.f64 1/2520 (pow.f64 im 7)))))))
6.0ms	(*.f64 1/3 (pow.f64 im 3))
5.0ms	(*.f64 1/2520 (pow.f64 im 7))
5.0ms	(*.f64 1/60 (pow.f64 im 5))

Compiler

Compiled 4094 to 3218 computations (21.4% saved)

series1.0s (3.1%)

Error

0.1b

Counts

4 → 21

Calls

4 calls:

794.0ms	(.f64 (cos.f64 re) (neg.f64 (+.f64 (.f64 1/60 (pow.f64 im 5)) (+.f64 (.f64 1/3 (pow.f64 im 3)) (+.f64 (.f64 im 2) (*.f64 1/2520 (pow.f64 im 7)))))))
50.0ms	(*.f64 1/60 (pow.f64 im 5))
37.0ms	(*.f64 1/3 (pow.f64 im 3))
21.0ms	(*.f64 1/2520 (pow.f64 im 7))

Compiler

Compiled 1787 to 1475 computations (17.5% saved)

simplify959.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

368×	`associate-l_binary64_2406`
367×	`associate-r_binary64_2405`
296×	`cancel-sign-sub-inv_binary64_2431`
262×	`unswap-sqr_binary64_2433`
206×	`distribute-rgt-neg-in_binary64_2423`
198×	`distribute-neg-in_binary64_2426`
163×	`distribute-rgt-neg-out_binary64_2425`
159×	`*-commutative_binary64_2396`
132×	`sub-neg_binary64_2458`
131×	`distribute-lft-neg-out_binary64_2424`
124×	`sqr-pow_binary64_2437`
104×	`associate-+r+_binary64_2397`
97×	`neg-sub0_binary64_2460`
91×	`neg-mul-1_binary64_2461`
88×	`distribute-rgt-in_binary64_2415`
80×	`log-prod_binary64_2551`
75×	`distribute-lft-in_binary64_2414`
73×	`pow-sqr_binary64_2438`
68×	`exp-prod_binary64_2517`
67×	`+-commutative_binary64_2395`
63×	`associate-+l+_binary64_2398`
46×	`cube-prod_binary64_2493` `associate--r+_binary64_2401`
45×	`*-lft-identity_binary64_2454`
42×	`*-rgt-identity_binary64_2455`
38×	`distribute-lft-neg-in_binary64_2422`
32×	`swap-sqr_binary64_2432`
31×	`log-pow_binary64_2554`
27×	`associate--l+_binary64_2402`
26×	`unsub-neg_binary64_2459`
19×	`pow-plus_binary64_2528`
18×	`cube-unmult_binary64_2502`
14×	`exp-sum_binary64_2511`
10×	`unpow3_binary64_2531`
9×	`pow-base-1_binary64_2525`
7×	`exp-diff_binary64_2513` `cube-mult_binary64_2495`
6×	`div-sub_binary64_2470`
5×	`rem-sqrt-square_binary64_2478` `mul-1-neg_binary64_2457`
4×	`prod-exp_binary64_2514`
3×	`sqr-neg_binary64_2479` `remove-double-neg_binary64_2453` `+-rgt-identity_binary64_2450` `distribute-rgt-out_binary64_2418` `associate-/l/_binary64_2412` `associate-+r-_binary64_2399`
2×	`unpow1/3_binary64_2532` `distribute-neg-out_binary64_2427`
1×	`log-div_binary64_2552` `unpow2_binary64_2530` `unpow1_binary64_2523` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `exp-neg_binary64_2512` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-log-exp_binary64_2506` `cube-div_binary64_2494` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `rem-square-sqrt_binary64_2477` `sub0-neg_binary64_2452` `*-inverses_binary64_2445` `difference-of-squares_binary64_2434` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `associate--r-_binary64_2404` `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` `log-rec_binary64_2553` `pow-base-0_binary64_2549` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `rec-exp_binary64_2515` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `sqr-abs_binary64_2480` `times-frac_binary64_2471` `/-rgt-identity_binary64_2456` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `+-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` `cancel-sign-sub_binary64_2430` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `count-2_binary64_2413` `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

132 → 210

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	3040
1	740	2792
2	2981	2791

prune3.0s (9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	203	7	210
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	204	9	213

Error

0.0b

Counts

213 → 9

Compiler

Compiled 9647 to 7339 computations (23.9% saved)

localize682.0ms (2.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
0.4b	(cbrt.f64 (cos.f64 re))
0.4b	(cbrt.f64 (cos.f64 re))
0.4b	(cbrt.f64 (cos.f64 re))

rewrite2.0s (6.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

428.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 3044 to 1767 computations (42% saved)

series1.2s (3.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

365.0ms	(cbrt.f64 (cos.f64 re))
360.0ms	(cbrt.f64 (cos.f64 re))
244.0ms	(cbrt.f64 (cos.f64 re))
125.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))

Compiler

Compiled 2220 to 1733 computations (21.9% saved)

simplify1.3s (3.9%)

Algorithm

1×	egg-herbie

Rules

443×	`associate-/l*_binary64_2410`
334×	`associate-l_binary64_2406`
308×	`associate-/r/_binary64_2411`
266×	`cancel-sign-sub-inv_binary64_2431`
221×	`associate-r_binary64_2405`
194×	`log-prod_binary64_2551`
164×	`distribute-rgt-in_binary64_2415`
148×	`associate-+l-_binary64_2400`
140×	`exp-prod_binary64_2517`
114×	`associate-/l/_binary64_2412`
113×	`unswap-sqr_binary64_2433`
112×	`cube-prod_binary64_2493`
108×	`distribute-lft-in_binary64_2414`
104×	`associate--l+_binary64_2402`
97×	`sub-neg_binary64_2458`
89×	`sqr-pow_binary64_2437`
86×	`swap-sqr_binary64_2432`
82×	`distribute-rgt-neg-in_binary64_2423`
70×	`distribute-lft-neg-in_binary64_2422` `associate--l-_binary64_2403`
60×	`associate-+r-_binary64_2399`
55×	`distribute-rgt-out_binary64_2418`
54×	`*-commutative_binary64_2396`
52×	`times-frac_binary64_2471`
45×	`pow-sqr_binary64_2438`
40×	`associate--r+_binary64_2401`
38×	`log-div_binary64_2552` `associate-*l/_binary64_2408`
34×	`neg-sub0_binary64_2460`
33×	`neg-mul-1_binary64_2461`
31×	`distribute-lft-out_binary64_2416`
29×	`cube-div_binary64_2494` `associate-/r*_binary64_2409`
27×	`unsub-neg_binary64_2459` `associate-*r/_binary64_2407`
25×	`*-lft-identity_binary64_2454`
24×	`distribute-neg-in_binary64_2426`
23×	`*-rgt-identity_binary64_2455`
22×	`pow-plus_binary64_2528` `associate-+l+_binary64_2398`
19×	`exp-sqrt_binary64_2518`
18×	`log-pow_binary64_2554` `rem-sqrt-square_binary64_2478`
17×	`cube-unmult_binary64_2502`
15×	`+-commutative_binary64_2395`
14×	`distribute-neg-out_binary64_2427` `distribute-lft-neg-out_binary64_2424`
12×	`sub0-neg_binary64_2452`
10×	`associate-+r+_binary64_2397`
9×	`exp-lft-sqr_binary64_2520`
8×	`distribute-rgt1-in_binary64_2421` `count-2_binary64_2413`
6×	`unpow3_binary64_2531` `associate--r-_binary64_2404`
5×	`/-rgt-identity_binary64_2456` `+-rgt-identity_binary64_2450`
4×	`div-exp_binary64_2516` `prod-exp_binary64_2514` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-rgt-out--_binary64_2419`
3×	`log-rec_binary64_2553` `unpow2_binary64_2530`
2×	`unpow1/3_binary64_2532` `unpow1_binary64_2523` `rec-exp_binary64_2515` `exp-sum_binary64_2511` `cube-mult_binary64_2495` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `distribute-lft1-in_binary64_2420` `distribute-lft-out--_binary64_2417`
1×	`pow-base-1_binary64_2525` `exp-diff_binary64_2513` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-log-exp_binary64_2506` `rem-3cbrt-rft_binary64_2491` `rem-square-sqrt_binary64_2477` `mul0-lft_binary64_2447` `*-inverses_binary64_2445`
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` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-exp-log_binary64_2505` `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` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `div0_binary64_2446` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `distribute-frac-neg_binary64_2428` `distribute-rgt-neg-out_binary64_2425`

Counts

97 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1148
1	159	1050
2	523	1036
3	1702	1030

prune283.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	105	9	114

Error

0.0b

Counts

114 → 9

Compiler

Compiled 4850 to 3219 computations (33.6% saved)

localize58.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 re) 2)))
0.4b	(cbrt.f64 (cos.f64 re))
0.4b	(cbrt.f64 (cos.f64 re))
0.4b	(cbrt.f64 (cos.f64 re))

rewrite115.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`cbrt-prod_binary64_2496`
10×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
4×	`pow1/3_binary64_2547` `pow1_binary64_2526` `add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`unpow-prod-down_binary64_2544`
1×	`unpow2_binary64_2530` `sqr-pow_binary64_2437`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 re) 2)))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 2598 to 1589 computations (38.8% saved)

series533.0ms (1.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

204.0ms	(cbrt.f64 (cos.f64 re))
119.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 re) 2)))
74.0ms	(cbrt.f64 (cos.f64 re))
70.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 2682 to 2004 computations (25.3% saved)

simplify739.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

416×	`sub-neg_binary64_2458`
365×	`sqr-pow_binary64_2437`
313×	`associate-/l/_binary64_2412`
295×	`associate-/l*_binary64_2410`
269×	`*-commutative_binary64_2396`
243×	`pow-sqr_binary64_2438`
218×	`cancel-sign-sub-inv_binary64_2431`
185×	`distribute-rgt-neg-in_binary64_2423`
172×	`associate-+l-_binary64_2400`
150×	`cube-div_binary64_2494`
149×	`pow-plus_binary64_2528`
148×	`distribute-lft-neg-in_binary64_2422`
144×	`log-prod_binary64_2551`
142×	`cube-prod_binary64_2493`
124×	`neg-mul-1_binary64_2461`
117×	`distribute-rgt-out_binary64_2418`
112×	`neg-sub0_binary64_2460`
102×	`exp-prod_binary64_2517`
97×	`associate-l_binary64_2406`
87×	`associate-r_binary64_2405`
82×	`associate--r+_binary64_2401`
80×	`associate--l+_binary64_2402`
76×	`distribute-neg-in_binary64_2426`
75×	`unsub-neg_binary64_2459`
73×	`associate-+l+_binary64_2398`
72×	`unswap-sqr_binary64_2433`
71×	`+-commutative_binary64_2395`
68×	`distribute-rgt-in_binary64_2415`
67×	`log-pow_binary64_2554`
62×	`sub0-neg_binary64_2452`
57×	`associate--r-_binary64_2404` `associate-+r+_binary64_2397`
56×	`associate-+r-_binary64_2399`
48×	`associate-*l/_binary64_2408`
46×	`associate-/r/_binary64_2411`
45×	`remove-double-neg_binary64_2453`
44×	`times-frac_binary64_2471`
41×	`distribute-lft-in_binary64_2414`
40×	`rem-sqrt-square_binary64_2478` `swap-sqr_binary64_2432`
37×	`associate-/r*_binary64_2409`
35×	`distribute-lft-out_binary64_2416`
33×	`unpow3_binary64_2531`
32×	`associate--l-_binary64_2403`
31×	`pow-base-1_binary64_2525` `cube-mult_binary64_2495`
30×	`remove-double-div_binary64_2441`
28×	`count-2_binary64_2413`
24×	`+-rgt-identity_binary64_2450`
22×	`distribute-neg-frac_binary64_2429` `distribute-lft-neg-out_binary64_2424`
21×	`cube-unmult_binary64_2502` `/-rgt-identity_binary64_2456` `*-rgt-identity_binary64_2455`
20×	`*-lft-identity_binary64_2454` `distribute-rgt1-in_binary64_2421`
16×	`distribute-rgt-neg-out_binary64_2425`
14×	`associate-*r/_binary64_2407`
13×	`--rgt-identity_binary64_2451`
12×	`prod-exp_binary64_2514`
10×	`cancel-sign-sub_binary64_2430`
9×	`div-exp_binary64_2516`
8×	`exp-sqrt_binary64_2518` `exp-sum_binary64_2511`
6×	`unpow2_binary64_2530` `exp-lft-sqr_binary64_2520`
5×	`unpow1_binary64_2523` `distribute-lft1-in_binary64_2420`
4×	`log-div_binary64_2552` `distribute-neg-out_binary64_2427` `distribute-rgt-out--_binary64_2419`
3×	`rec-exp_binary64_2515` `rem-cbrt-cube_binary64_2489` `mul0-rgt_binary64_2448` `+-inverses_binary64_2444` `distribute-lft-out--_binary64_2417`
2×	`rem-3cbrt-lft_binary64_2490` `mul0-lft_binary64_2447`
1×	`unpow1/3_binary64_2532` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-square-sqrt_binary64_2477` `div-sub_binary64_2470` `*-inverses_binary64_2445` `rgt-mult-inverse_binary64_2442`
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` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `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-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457` `+-lft-identity_binary64_2449` `div0_binary64_2446` `lft-mult-inverse_binary64_2443` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `distribute-frac-neg_binary64_2428`

Counts

76 → 88

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	878
1	153	872
2	367	872
3	1090	839
4	2316	833
5	3999	833

prune233.0ms (0.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	87	10	97

Error

0.0b

Counts

97 → 10

Compiler

Compiled 4549 to 2862 computations (37.1% saved)

regimes5.1s (15.4%)

Accuracy

Total 0.7b remaining (98.2%)

Threshold costs 0.7b (98.2%)

Compiler

Compiled 16564 to 12965 computations (21.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64_2396`
22×	`+-commutative_binary64_2395`
20×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
19×	`sub-neg_binary64_2458`
10×	`distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
6×	`unsub-neg_binary64_2459` `distribute-neg-in_binary64_2426`
2×	`distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-out_binary64_2424`
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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	41
1	43	41
2	70	41
3	105	41
4	144	41
5	168	41
6	181	41
7	185	41

Proof

(* f64 1/2 (* f64 (cos f64 h0) (=> (neg f64 (+ f64 (* f64 1/60 (pow f64 h1 5)) (+ f64 (* f64 1/3 (pow f64 h1 3)) (+ f64 (* f64 h1 2) (* f64 1/2520 (pow f64 h1 7)))))))))
distribute-neg-in_binary64_2426 =>
(* f64 1/2 (* f64 (cos f64 h0) (=> (+ f64 (neg f64 (* f64 1/60 (pow f64 h1 5))) (neg f64 (+ f64 (* f64 1/3 (pow f64 h1 3)) (+ f64 (* f64 h1 2) (* f64 1/2520 (pow f64 h1 7)))))))))
unsub-neg_binary64_2459 =>
(* f64 1/2 (* f64 (cos f64 h0) (- f64 (=> (neg f64 (* f64 1/60 (pow f64 h1 5)))) (+ f64 (* f64 1/3 (pow f64 h1 3)) (+ f64 (* f64 h1 2) (* f64 1/2520 (pow f64 h1 7)))))))
distribute-rgt-neg-in_binary64_2423 =>
(* f64 1/2 (* f64 (cos f64 h0) (- f64 (* f64 1/60 (neg f64 (pow f64 h1 5))) (+ f64 (* f64 1/3 (pow f64 h1 3)) (+ f64 (* f64 h1 2) (* f64 1/2520 (pow f64 h1 7)))))))

end0.0ms (0%)

sample12.4s (37.4%)

Algorithm

1×

intervals

Results

5.4s	4890×	body	1024	valid
1.8s	1905×	body	1024	invalid
1.1s	1662×	body	512	valid
458.0ms	919×	body	512	invalid
399.0ms	399×	body	2048	valid
390.0ms	493×	body	256	invalid
109.0ms	667×	body	256	valid
81.0ms	677×	body	128	invalid
33.0ms	382×	body	128	valid

Compiler

Compiled 2829 to 2213 computations (21.8% saved)

Details

analyze664.0ms (2%)

sample367.0ms (1.1%)

simplify734.0ms (2.2%)

prune3.0ms (0%)

localize9.0ms (0%)

rewrite116.0ms (0.3%)

series327.0ms (1%)

simplify290.0ms (0.9%)

prune111.0ms (0.3%)

localize64.0ms (0.2%)

rewrite807.0ms (2.4%)

series1.0s (3.1%)

simplify959.0ms (2.9%)

prune3.0s (9%)

localize682.0ms (2.1%)

rewrite2.0s (6.2%)

series1.2s (3.5%)

simplify1.3s (3.9%)

prune283.0ms (0.9%)

localize58.0ms (0.2%)

rewrite115.0ms (0.3%)

series533.0ms (1.6%)

simplify739.0ms (2.2%)

prune233.0ms (0.7%)

regimes5.1s (15.4%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample12.4s (37.4%)

Profiling