Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

Compiler

Compiled 13 to 7 computations (46.2% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	pre	128	true
4.0ms	256×	body	128	valid

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify165.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

642×	`sqr-pow_binary64_2437`
430×	`associate-/r/_binary64_2411`
412×	`associate-/l*_binary64_2410`
407×	`pow-sqr_binary64_2438`
388×	`unswap-sqr_binary64_2433`
346×	`*-commutative_binary64_2396`
222×	`cube-prod_binary64_2493`
218×	`associate-/r*_binary64_2409`
210×	`associate-*l/_binary64_2408`
195×	`associate-l_binary64_2406`
139×	`pow-plus_binary64_2528` `associate-r_binary64_2405`
106×	`associate-/l/_binary64_2412`
96×	`associate-+l+_binary64_2398`
92×	`cube-div_binary64_2494`
90×	`times-frac_binary64_2471`
77×	`unpow3_binary64_2531`
73×	`cube-mult_binary64_2495`
69×	`distribute-rgt-in_binary64_2415`
44×	`swap-sqr_binary64_2432`
40×	`distribute-lft-in_binary64_2414`
37×	`associate-*r/_binary64_2407`
33×	`*-rgt-identity_binary64_2455`
30×	`+-commutative_binary64_2395`
28×	`*-lft-identity_binary64_2454`
26×	`distribute-rgt-out_binary64_2418`
20×	`distribute-rgt1-in_binary64_2421`
15×	`associate-+r+_binary64_2397`
13×	`cube-unmult_binary64_2502`
11×	`remove-double-div_binary64_2441`
10×	`/-rgt-identity_binary64_2456`
8×	`distribute-lft1-in_binary64_2420`
6×	`pow-base-1_binary64_2525`
5×	`*-inverses_binary64_2445`
3×	`lft-mult-inverse_binary64_2443`
2×	`count-2_binary64_2413`
1×	`1-exp_binary64_2509` `rgt-mult-inverse_binary64_2442` `distribute-lft-out_binary64_2416`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `log-div_binary64_2552` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `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-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` `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_2444` `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

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	14	10
2	25	10
3	37	10
4	58	10
5	99	10
6	219	10
7	472	10
8	1033	10
9	1907	10
10	2230	10
11	2643	10
12	3421	10

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

0.0b

Counts

3 → 1

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_2504`
2×	`cube-mult_binary64_2495`
1×	`sum-log_binary64_2556` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3-+_binary64_2468` `*-un-lft-identity_binary64_2465` `flip-+_binary64_2439` `distribute-rgt1-in_binary64_2421` `unpow3_binary64_2531` `distribute-rgt-out_binary64_2418` `distribute-lft-out_binary64_2416` `+-commutative_binary64_2395`

Counts

1 → 14

Calls

1 calls:

6.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 199 to 100 computations (49.7% saved)

series61.0ms (0.8%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

57.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 81 to 67 computations (17.3% saved)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

613×	`unswap-sqr_binary64_2433`
467×	`distribute-rgt-out_binary64_2418`
305×	`associate-l_binary64_2406`
270×	`cancel-sign-sub-inv_binary64_2431`
254×	`distribute-lft-out_binary64_2416`
252×	`distribute-rgt-in_binary64_2415`
222×	`associate-r_binary64_2405`
212×	`distribute-lft-in_binary64_2414`
196×	`difference-of-squares_binary64_2434`
103×	`distribute-rgt-neg-in_binary64_2423`
98×	`distribute-rgt-out--_binary64_2419`
95×	`distribute-lft-neg-in_binary64_2422`
69×	`sqr-pow_binary64_2437`
56×	`*-commutative_binary64_2396`
47×	`distribute-lft-out--_binary64_2417`
46×	`sub-neg_binary64_2458`
43×	`distribute-rgt1-in_binary64_2421`
40×	`pow-sqr_binary64_2438`
29×	`pow-plus_binary64_2528`
25×	`+-commutative_binary64_2395`
24×	`exp-prod_binary64_2517` `cube-prod_binary64_2493` `distribute-lft1-in_binary64_2420`
21×	`distribute-lft-neg-out_binary64_2424`
16×	`neg-sub0_binary64_2460`
15×	`swap-sqr_binary64_2432`
14×	`neg-mul-1_binary64_2461`
12×	`unsub-neg_binary64_2459` `associate-+l+_binary64_2398`
11×	`distribute-rgt-neg-out_binary64_2425`
10×	`log-prod_binary64_2551`
9×	`unpow3_binary64_2531`
8×	`cube-unmult_binary64_2502` `associate-+r-_binary64_2399` `associate-+r+_binary64_2397`
7×	`associate-+l-_binary64_2400`
6×	`cube-mult_binary64_2495` `+-rgt-identity_binary64_2450`
4×	`log-pow_binary64_2554`
3×	`exp-sum_binary64_2511` `sub0-neg_binary64_2452`
2×	`-rgt-identity_binary64_2455` `associate-/l_binary64_2410`
1×	`unpow2_binary64_2530` `unpow1_binary64_2523` `prod-exp_binary64_2514` `1-exp_binary64_2509` `/-rgt-identity_binary64_2456` `-lft-identity_binary64_2454` `-inverses_binary64_2445` `rgt-mult-inverse_binary64_2442` `difference-of-sqr--1_binary64_2436` `distribute-neg-in_binary64_2426` `associate-/l/_binary64_2412` `associate-*r/_binary64_2407` `associate--l+_binary64_2402`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-rec_binary64_2553` `log-div_binary64_2552` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow1/2_binary64_2529` `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` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `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-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `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` `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_2435` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `count-2_binary64_2413` `associate-/r/_binary64_2411` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--r+_binary64_2401`

Counts

20 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	259
1	93	229
2	372	229
3	1265	229

prune21.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Error

Counts

23 → 2

Compiler

Compiled 406 to 240 computations (40.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))
0.1b	(.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 3))))
0.2b	(.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 3)))
19.9b	(cbrt.f64 (.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 3)))))

rewrite390.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
60×	`frac-times_binary64_2475`
30×	`associate-*r/_binary64_2407`
26×	`cbrt-div_binary64_2497`
25×	`pow1_binary64_2526`
18×	`associate-*l/_binary64_2408`
14×	`add-cbrt-cube_binary64_2501` `cube-mult_binary64_2495`
12×	`add-sqr-sqrt_binary64_2487` `associate-l_binary64_2406`
11×	`add-exp-log_binary64_2503`
9×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
8×	`swap-sqr_binary64_2432` `unpow3_binary64_2531` `distribute-rgt-out_binary64_2418` `distribute-lft-out_binary64_2416`
7×	`associate-r_binary64_2405`
6×	`add-log-exp_binary64_2504` `pow-prod-up_binary64_2535` `distribute-rgt1-in_binary64_2421`
5×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
4×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
2×	`cube-unmult_binary64_2502` `pow2_binary64_2546` `pow-plus_binary64_2528` `pow-sqr_binary64_2438` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`
1×	`pow1/3_binary64_2547` `cbrt-prod_binary64_2496` `rem-cbrt-cube_binary64_2489` `rem-3cbrt-rft_binary64_2491` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 154

Calls

4 calls:

22.0ms	(.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 3))))
20.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 3)))))
15.0ms	(.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 3)))
6.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 7153 to 3631 computations (49.2% saved)

series272.0ms (3.7%)

Error

Counts

4 → 33

Calls

4 calls:

85.0ms	(.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 3)))
60.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
59.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 3)))))
43.0ms	(.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (.f64 (+.f64 (.f64 x x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 3))))

Compiler

Compiled 1095 to 803 computations (26.7% saved)

simplify1.8s (24.4%)

Algorithm

1×	egg-herbie

Rules

585×	`unswap-sqr_binary64_2433`
400×	`exp-prod_binary64_2517`
264×	`associate-r_binary64_2405`
238×	`associate-l_binary64_2406`
218×	`distribute-rgt-out_binary64_2418`
201×	`distribute-rgt-in_binary64_2415`
192×	`distribute-lft-in_binary64_2414`
184×	`+-commutative_binary64_2395`
173×	`cube-prod_binary64_2493`
134×	`associate-+l+_binary64_2398`
118×	`associate-+r+_binary64_2397`
117×	`exp-sum_binary64_2511`
103×	`distribute-lft-out_binary64_2416`
97×	`log-prod_binary64_2551`
81×	`*-commutative_binary64_2396`
78×	`sqr-pow_binary64_2437`
73×	`cancel-sign-sub-inv_binary64_2431`
64×	`unsub-neg_binary64_2459`
61×	`swap-sqr_binary64_2432`
54×	`neg-mul-1_binary64_2461`
53×	`neg-sub0_binary64_2460`
49×	`pow-plus_binary64_2528`
44×	`pow-sqr_binary64_2438`
38×	`distribute-rgt-neg-in_binary64_2423`
37×	`difference-of-squares_binary64_2434`
31×	`distribute-lft-neg-in_binary64_2422`
29×	`distribute-lft-neg-out_binary64_2424`
28×	`distribute-rgt1-in_binary64_2421`
27×	`distribute-rgt-out--_binary64_2419`
26×	`unpow3_binary64_2531`
23×	`distribute-rgt-neg-out_binary64_2425`
20×	`sub-neg_binary64_2458`
18×	`cube-unmult_binary64_2502` `cube-mult_binary64_2495` `*-rgt-identity_binary64_2455`
16×	`*-lft-identity_binary64_2454`
15×	`associate-/l*_binary64_2410`
11×	`log-pow_binary64_2554` `distribute-lft-out--_binary64_2417`
8×	`associate-+r-_binary64_2399`
7×	`associate-/l/_binary64_2412` `associate-*r/_binary64_2407` `associate-+l-_binary64_2400`
5×	`rem-cbrt-cube_binary64_2489` `rem-sqrt-square_binary64_2478`
4×	`distribute-lft1-in_binary64_2420`
3×	`count-2_binary64_2413`
2×	`rem-3cbrt-lft_binary64_2490`
1×	`unpow2_binary64_2530` `pow-base-1_binary64_2525` `unpow1_binary64_2523` `prod-exp_binary64_2514` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-rft_binary64_2491` `rem-square-sqrt_binary64_2477` `*-inverses_binary64_2445` `associate--l+_binary64_2402`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-rec_binary64_2553` `log-div_binary64_2552` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `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` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `times-frac_binary64_2471` `div-sub_binary64_2470` `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_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-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `associate-/r/_binary64_2411` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--r+_binary64_2401`

Counts

187 → 885

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	6691
1	411	5814
2	1838	5520
3	3940	5434

prune3.9s (53.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	885	0	885
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	885	2	887

Error

Counts

887 → 2

Compiler

Compiled 44289 to 27414 computations (38.1% saved)

regimes25.0ms (0.3%)

Accuracy

Total 0.0b remaining (34.3%)

Threshold costs 0.0b (34.3%)

Compiler

Compiled 180 to 110 computations (38.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_2396 +-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	5	13
1	7	13

Proof

(=> (+ f64 (* f64 h0 (* f64 h0 h0)) (* f64 h0 h0)))
+-commutative_binary64_2395 =>
(+ f64 (* f64 h0 h0) (* f64 h0 (* f64 h0 h0)))

end0.0ms (0%)

sample617.0ms (8.3%)

Algorithm

1×

intervals

Results

153.0ms	8000×	body	128	valid
104.0ms	8000×	pre	128	true

Compiler

Compiled 109 to 67 computations (38.5% saved)

Details

analyze1.0ms (0%)

sample21.0ms (0.3%)

simplify165.0ms (2.2%)

prune3.0ms (0%)

localize4.0ms (0.1%)

rewrite17.0ms (0.2%)

series61.0ms (0.8%)

simplify62.0ms (0.8%)

prune21.0ms (0.3%)

localize10.0ms (0.1%)

rewrite390.0ms (5.3%)

series272.0ms (3.7%)

simplify1.8s (24.4%)

prune3.9s (53.1%)

regimes25.0ms (0.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample617.0ms (8.3%)

Profiling