Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample87.0ms (1.1%)

Algorithm

1×

intervals

Results

53.0ms	143×	body	1024	valid
12.0ms	57×	body	512	valid
7.0ms	13×	body	2048	valid
4.0ms	28×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify1.3s (15.4%)

Algorithm

1×	egg-herbie

Rules

579×	`unsub-neg_binary64_2459`
546×	`distribute-rgt-out_binary64_2418`
530×	`distribute-rgt-out--_binary64_2419`
350×	`associate--l-_binary64_2403`
343×	`associate--r-_binary64_2404`
315×	`associate-+l-_binary64_2400`
266×	`associate-/l*_binary64_2410`
252×	`distribute-neg-out_binary64_2427`
236×	`cancel-sign-sub-inv_binary64_2431`
226×	`distribute-rgt-neg-out_binary64_2425`
218×	`associate-l_binary64_2406`
209×	`sub-neg_binary64_2458`
151×	`div-sub_binary64_2470`
133×	`distribute-rgt1-in_binary64_2421`
74×	`times-frac_binary64_2471`
69×	`distribute-rgt-in_binary64_2415`
55×	`distribute-frac-neg_binary64_2428` `associate-/l/_binary64_2412` `associate-/r*_binary64_2409`
51×	`distribute-neg-frac_binary64_2429`
46×	`exp-sum_binary64_2511` `distribute-lft-in_binary64_2414`
45×	`log-pow_binary64_2554`
43×	`neg-sub0_binary64_2460`
42×	`cancel-sign-sub_binary64_2430`
39×	`exp-prod_binary64_2517` `neg-mul-1_binary64_2461` `associate-*l/_binary64_2408`
37×	`exp-diff_binary64_2513`
35×	`distribute-neg-in_binary64_2426` `distribute-lft1-in_binary64_2420`
32×	`swap-sqr_binary64_2432`
31×	`distribute-lft-neg-out_binary64_2424`
29×	`distribute-lft-out_binary64_2416`
27×	`distribute-lft-out--_binary64_2417` `associate-*r/_binary64_2407`
25×	`pow-plus_binary64_2528`
23×	`sqr-neg_binary64_2479`
22×	`associate-r_binary64_2405`
21×	`pow-sqr_binary64_2438`
20×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `+-inverses_binary64_2444` `sqr-pow_binary64_2437`
19×	`*-commutative_binary64_2396`
16×	`exp-to-pow_binary64_2527` `distribute-lft-neg-in_binary64_2422`
15×	`log-prod_binary64_2551` `exp-neg_binary64_2512` `remove-double-neg_binary64_2453` `associate--r+_binary64_2401`
14×	`mul0-rgt_binary64_2448`
13×	`+-rgt-identity_binary64_2450` `distribute-rgt-neg-in_binary64_2423`
12×	`associate-/r/_binary64_2411`
11×	`exp-lft-sqr_binary64_2520` `exp-sqrt_binary64_2518` `count-2_binary64_2413` `+-commutative_binary64_2395`
10×	`mul0-lft_binary64_2447` `associate-+r+_binary64_2397`
8×	`log-div_binary64_2552`
7×	`sub0-neg_binary64_2452`
6×	`+-lft-identity_binary64_2449` `remove-double-div_binary64_2441`
5×	`associate-+r-_binary64_2399` `associate-+l+_binary64_2398`
4×	`pow-base-1_binary64_2525` `prod-exp_binary64_2514` `cube-unmult_binary64_2502` `/-rgt-identity_binary64_2456` `difference-of-squares_binary64_2434` `associate--l+_binary64_2402`
2×	`cube-prod_binary64_2493` `rem-sqrt-square_binary64_2478` `div0_binary64_2446`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `--rgt-identity_binary64_2451` `*-inverses_binary64_2445` `lft-mult-inverse_binary64_2443` `difference-of-sqr--1_binary64_2436` `unswap-sqr_binary64_2433`
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` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `div-exp_binary64_2516` `rec-exp_binary64_2515` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `cube-mult_binary64_2495` `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-square-sqrt_binary64_2477` `mul-1-neg_binary64_2457` `rgt-mult-inverse_binary64_2442` `difference-of-sqr-1_binary64_2435`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	21	15
2	30	15
3	67	15
4	100	15
5	199	15
6	310	15
7	3015	15

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

59.0b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
4.2b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite157.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

58.8b

Rules

78×	`*-un-lft-identity_binary64_2465`
52×	`add-sqr-sqrt_binary64_2487`
48×	`times-frac_binary64_2471`
30×	`log-prod_binary64_2551`
25×	`add-cube-cbrt_binary64_2500`
18×	`difference-of-squares_binary64_2434`
13×	`distribute-lft-out_binary64_2416`
9×	`distribute-lft-out--_binary64_2417`
7×	`add-exp-log_binary64_2503`
6×	`associate-/r*_binary64_2409`
4×	`associate-/r/_binary64_2411` `add-cbrt-cube_binary64_2501` `associate-/l*_binary64_2410`
3×	`pow1_binary64_2526`
2×	`div-inv_binary64_2462` `flip3--_binary64_2469` `flip--_binary64_2440` `div-exp_binary64_2516` `rem-log-exp_binary64_2506` `add-log-exp_binary64_2504` `associate-/l/_binary64_2412`
1×	`log-pow_binary64_2554` `log-div_binary64_2552` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `flip3-+_binary64_2468` `flip-+_binary64_2439`

Counts

2 → 91

Calls

2 calls:

10.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 1776 to 1426 computations (19.7% saved)

series115.0ms (1.4%)

Error

Counts

2 → 13

Calls

2 calls:

65.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
36.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 315 to 296 computations (6% saved)

simplify432.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

508×	`distribute-rgt-in_binary64_2415`
301×	`distribute-rgt-out_binary64_2418`
266×	`cancel-sign-sub-inv_binary64_2431`
186×	`log-div_binary64_2552`
184×	`distribute-rgt-out--_binary64_2419`
172×	`times-frac_binary64_2471`
163×	`sub-neg_binary64_2458`
159×	`div-sub_binary64_2470`
111×	`associate-/l*_binary64_2410`
103×	`log-prod_binary64_2551` `associate-l_binary64_2406`
101×	`distribute-lft-out_binary64_2416`
90×	`distribute-rgt-neg-out_binary64_2425` `associate-r_binary64_2405`
86×	`unsub-neg_binary64_2459`
83×	`associate-/r*_binary64_2409`
78×	`+-commutative_binary64_2395`
77×	`*-commutative_binary64_2396`
75×	`distribute-lft-out--_binary64_2417`
74×	`distribute-lft-in_binary64_2414`
72×	`associate-*l/_binary64_2408`
69×	`distribute-lft-neg-out_binary64_2424`
68×	`associate-/l/_binary64_2412`
64×	`distribute-rgt-neg-in_binary64_2423` `associate-+l+_binary64_2398`
60×	`associate-*r/_binary64_2407`
56×	`distribute-lft-neg-in_binary64_2422`
54×	`associate-/r/_binary64_2411`
52×	`sqr-pow_binary64_2437`
50×	`distribute-neg-frac_binary64_2429`
45×	`associate-+l-_binary64_2400`
44×	`neg-mul-1_binary64_2461`
43×	`neg-sub0_binary64_2460`
40×	`associate-+r+_binary64_2397`
37×	`prod-exp_binary64_2514`
36×	`distribute-rgt1-in_binary64_2421`
34×	`pow-sqr_binary64_2438`
33×	`unswap-sqr_binary64_2433` `associate--l-_binary64_2403`
31×	`log-rec_binary64_2553` `cube-prod_binary64_2493`
29×	`sub0-neg_binary64_2452`
26×	`exp-prod_binary64_2517` `*-rgt-identity_binary64_2455` `swap-sqr_binary64_2432`
25×	`cube-div_binary64_2494`
24×	`distribute-neg-out_binary64_2427`
22×	`div-exp_binary64_2516` `associate-+r-_binary64_2399`
18×	`pow-plus_binary64_2528` `*-lft-identity_binary64_2454`
17×	`log-pow_binary64_2554`
15×	`+-lft-identity_binary64_2449`
14×	`/-rgt-identity_binary64_2456` `distribute-neg-in_binary64_2426`
11×	`difference-of-squares_binary64_2434` `distribute-frac-neg_binary64_2428`
10×	`exp-to-pow_binary64_2527` `distribute-lft1-in_binary64_2420`
8×	`exp-diff_binary64_2513` `exp-sum_binary64_2511` `+-rgt-identity_binary64_2450`
7×	`cube-unmult_binary64_2502` `cancel-sign-sub_binary64_2430`
6×	`pow-base-1_binary64_2525` `rec-exp_binary64_2515` `count-2_binary64_2413`
5×	`exp-sqrt_binary64_2518` `associate--l+_binary64_2402` `associate--r+_binary64_2401`
4×	`unpow3_binary64_2531` `rem-exp-log_binary64_2505` `cube-mult_binary64_2495` `remove-double-div_binary64_2441` `difference-of-sqr-1_binary64_2435`
3×	`sqr-neg_binary64_2479` `mul-1-neg_binary64_2457`
2×	`exp-lft-sqr_binary64_2520` `rem-sqrt-square_binary64_2478` `remove-double-neg_binary64_2453` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `associate--r-_binary64_2404`
1×	`unpow2_binary64_2530` `unpow1_binary64_2523` `1-exp_binary64_2509` `rem-log-exp_binary64_2506` `cube-neg_binary64_2492` `--rgt-identity_binary64_2451` `difference-of-sqr--1_binary64_2436`
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` `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-1-e_binary64_2508` `exp-0_binary64_2507` `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` `div0_binary64_2446` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442`

Counts

104 → 265

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	2067
1	341	1967
2	839	1911
3	2161	1911

prune449.0ms (5.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	258	7	265
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	258	8	266

Error

58.8b

Counts

266 → 8

Compiler

Compiled 5483 to 4406 computations (19.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x)))
4.3b	(log.f64 (-.f64 1 x))
4.3b	(log.f64 (+.f64 x 1))

rewrite123.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

58.7b

Rules

22×	`*-un-lft-identity_binary64_2465`
20×	`log-prod_binary64_2551`
16×	`add-sqr-sqrt_binary64_2487`
10×	`pow1_binary64_2526`
8×	`log-div_binary64_2552` `add-cube-cbrt_binary64_2500`
7×	`log-pow_binary64_2554`
6×	`distribute-lft-out--_binary64_2417` `associate--r+_binary64_2401`
5×	`add-exp-log_binary64_2503` `difference-of-squares_binary64_2434`
4×	`cancel-sign-sub-inv_binary64_2431` `associate--l+_binary64_2402`
3×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `flip--_binary64_2440`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `rem-log-exp_binary64_2506` `associate--r-_binary64_2404` `associate--l-_binary64_2403`
1×	`diff-log_binary64_2557` `sub-neg_binary64_2458`

Counts

3 → 66

Calls

3 calls:

14.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 1212 to 996 computations (17.8% saved)

series206.0ms (2.5%)

Error

Counts

3 → 19

Calls

3 calls:

81.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x)))
44.0ms	(log.f64 (-.f64 1 x))
41.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 664 to 575 computations (13.4% saved)

simplify411.0ms (5%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-*r/_binary64_2407`
315×	`times-frac_binary64_2471`
251×	`unsub-neg_binary64_2459`
233×	`sub-neg_binary64_2458`
216×	`distribute-rgt-out_binary64_2418`
210×	`associate-l_binary64_2406`
201×	`associate-r_binary64_2405`
155×	`distribute-rgt-out--_binary64_2419`
109×	`distribute-rgt-in_binary64_2415`
108×	`associate-/l*_binary64_2410`
101×	`neg-sub0_binary64_2460`
99×	`distribute-lft-neg-out_binary64_2424`
98×	`distribute-rgt-neg-in_binary64_2423`
95×	`distribute-rgt-neg-out_binary64_2425`
88×	`distribute-lft-neg-in_binary64_2422`
84×	`+-commutative_binary64_2395`
80×	`associate-/r*_binary64_2409`
76×	`cancel-sign-sub-inv_binary64_2431`
75×	`sqr-pow_binary64_2437`
73×	`distribute-lft-in_binary64_2414`
71×	`neg-mul-1_binary64_2461`
69×	`*-commutative_binary64_2396`
66×	`associate-/r/_binary64_2411`
65×	`exp-prod_binary64_2517` `distribute-neg-in_binary64_2426`
63×	`log-prod_binary64_2551`
62×	`associate-+l+_binary64_2398`
57×	`associate-+l-_binary64_2400`
56×	`associate-/l/_binary64_2412`
52×	`distribute-lft-out_binary64_2416`
43×	`pow-sqr_binary64_2438`
42×	`sub0-neg_binary64_2452`
40×	`associate--r+_binary64_2401`
39×	`unswap-sqr_binary64_2433`
36×	`distribute-neg-out_binary64_2427`
34×	`associate-+r+_binary64_2397`
33×	`associate-+r-_binary64_2399`
30×	`*-lft-identity_binary64_2454`
27×	`exp-sum_binary64_2511` `*-rgt-identity_binary64_2455` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
26×	`log-div_binary64_2552` `distribute-rgt1-in_binary64_2421`
25×	`div-sub_binary64_2470`
24×	`cancel-sign-sub_binary64_2430`
23×	`distribute-lft-out--_binary64_2417`
22×	`+-rgt-identity_binary64_2450` `distribute-neg-frac_binary64_2429`
21×	`log-pow_binary64_2554` `pow-plus_binary64_2528`
20×	`cube-prod_binary64_2493`
19×	`difference-of-squares_binary64_2434`
18×	`associate--l+_binary64_2402`
17×	`swap-sqr_binary64_2432`
13×	`associate-*l/_binary64_2408`
9×	`exp-diff_binary64_2513` `cube-unmult_binary64_2502`
8×	`exp-sqrt_binary64_2518` `cube-div_binary64_2494`
7×	`unpow3_binary64_2531` `mul-1-neg_binary64_2457` `count-2_binary64_2413` `associate--r-_binary64_2404`
6×	`pow-base-1_binary64_2525` `div-exp_binary64_2516` `exp-neg_binary64_2512`
5×	`log-rec_binary64_2553` `exp-to-pow_binary64_2527` `cube-mult_binary64_2495` `rem-sqrt-square_binary64_2478` `/-rgt-identity_binary64_2456` `difference-of-sqr-1_binary64_2435`
4×	`prod-exp_binary64_2514`
3×	`--rgt-identity_binary64_2451` `+-inverses_binary64_2444` `distribute-lft1-in_binary64_2420` `associate--l-_binary64_2403`
2×	`exp-lft-sqr_binary64_2520` `rem-exp-log_binary64_2505` `sqr-neg_binary64_2479` `remove-double-neg_binary64_2453` `distribute-frac-neg_binary64_2428`
1×	`unpow2_binary64_2530` `unpow1_binary64_2523` `rec-exp_binary64_2515` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-log-exp_binary64_2506` `rem-3cbrt-lft_binary64_2490` `rem-square-sqrt_binary64_2477` `+-lft-identity_binary64_2449` `*-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` `unpow1/3_binary64_2532` `unpow1/2_binary64_2529` `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` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `div0_binary64_2446` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436`

Counts

85 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	1188
1	331	1112
2	736	1098
3	2223	1094

prune123.0ms (1.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	6	0	6
Picked	1	0	1
Done	1	0	1
Total	89	1	90

Error

Counts

90 → 1

Compiler

Compiled 1516 to 1156 computations (23.7% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite100.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_2487`
15×	`associate-l_binary64_2406`
12×	`add-exp-log_binary64_2503`
10×	`associate-r_binary64_2405`
9×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
8×	`unpow-prod-down_binary64_2544`
7×	`unswap-sqr_binary64_2433`
6×	`prod-exp_binary64_2514` `add-cbrt-cube_binary64_2501`
4×	`cube-prod_binary64_2493` `sqr-pow_binary64_2437`
2×	`pow1_binary64_2526` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`
1×	`unpow3_binary64_2531` `cube-mult_binary64_2495`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(*.f64 2/5 (pow.f64 x 5))

Compiler

Compiled 1299 to 1065 computations (18% saved)

series141.0ms (1.7%)

Error

Counts

2 → 6

Calls

2 calls:

77.0ms	(*.f64 2/5 (pow.f64 x 5))
57.0ms	(*.f64 (pow.f64 x 3) 2/3)

Compiler

Compiled 306 to 265 computations (13.4% saved)

simplify217.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

408×	`associate-/l*_binary64_2410`
389×	`sqr-pow_binary64_2437`
249×	`*-commutative_binary64_2396`
233×	`exp-prod_binary64_2517`
226×	`log-prod_binary64_2551`
195×	`associate-*r/_binary64_2407`
194×	`pow-sqr_binary64_2438`
189×	`distribute-rgt-in_binary64_2415`
169×	`associate-*l/_binary64_2408`
166×	`distribute-rgt-out_binary64_2418`
158×	`associate-/l/_binary64_2412`
156×	`cube-prod_binary64_2493`
147×	`log-pow_binary64_2554`
143×	`unswap-sqr_binary64_2433` `distribute-lft-in_binary64_2414` `associate-l_binary64_2406`
133×	`associate-+l+_binary64_2398`
121×	`associate-+r+_binary64_2397`
115×	`associate-r_binary64_2405`
100×	`associate-/r*_binary64_2409`
97×	`times-frac_binary64_2471`
90×	`swap-sqr_binary64_2432`
80×	`associate-/r/_binary64_2411`
77×	`distribute-lft-out_binary64_2416`
73×	`pow-plus_binary64_2528`
64×	`+-commutative_binary64_2395`
40×	`count-2_binary64_2413`
36×	`unpow3_binary64_2531`
32×	`cube-mult_binary64_2495`
26×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454`
20×	`cube-unmult_binary64_2502`
18×	`distribute-rgt1-in_binary64_2421`
16×	`rem-sqrt-square_binary64_2478`
15×	`+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449`
9×	`exp-to-pow_binary64_2527` `pow-base-1_binary64_2525`
6×	`/-rgt-identity_binary64_2456`
5×	`distribute-lft1-in_binary64_2420`
4×	`exp-sqrt_binary64_2518`
1×	`log-div_binary64_2552` `exp-lft-sqr_binary64_2520` `prod-exp_binary64_2514` `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` `*-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` `unpow1/3_binary64_2532` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow0_binary64_2524` `unpow1_binary64_2523` `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-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `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` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `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

62 → 57

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	666
1	188	618
2	694	618
3	1284	618
4	2621	618
5	4963	618

prune86.0ms (1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	1	58

Error

Counts

58 → 1

Compiler

Compiled 1335 to 1081 computations (19% saved)

regimes481.0ms (5.8%)

Accuracy

Total 0.2b remaining (96.3%)

Threshold costs 0.2b (96.3%)

Compiler

Compiled 4949 to 4245 computations (14.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_2396`
2×	`+-commutative_binary64_2395`
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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	20	25

Proof

(/ f64 (+ f64 (* f64 h0 2) (+ f64 (* f64 (pow f64 h0 3) 2/3) (* f64 2/5 (pow f64 h0 5)))) 2)

end0.0ms (0%)

sample3.8s (46.2%)

Algorithm

1×

intervals

Results

1.5s	3985×	body	1024	valid
432.0ms	1954×	body	512	valid
222.0ms	400×	body	2048	valid
141.0ms	1073×	body	256	valid
35.0ms	588×	body	128	valid

Compiler

Compiled 1216 to 1044 computations (14.1% saved)

Details

analyze6.0ms (0.1%)

sample87.0ms (1.1%)

simplify1.3s (15.4%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite157.0ms (1.9%)

series115.0ms (1.4%)

simplify432.0ms (5.2%)

prune449.0ms (5.4%)

localize9.0ms (0.1%)

rewrite123.0ms (1.5%)

series206.0ms (2.5%)

simplify411.0ms (5%)

prune123.0ms (1.5%)

localize12.0ms (0.1%)

rewrite100.0ms (1.2%)

series141.0ms (1.7%)

simplify217.0ms (2.6%)

prune86.0ms (1%)

regimes481.0ms (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.8s (46.2%)

Profiling