Details

analyze464.0ms (15.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

1109×	`div-sub_binary64_2470`
807×	`times-frac_binary64_2471`
671×	`sub-neg_binary64_2458`
600×	`associate-/r/_binary64_2411`
353×	`distribute-rgt-neg-in_binary64_2423`
311×	`neg-sub0_binary64_2460`
309×	`neg-mul-1_binary64_2461`
299×	`unsub-neg_binary64_2459`
286×	`associate-/l*_binary64_2410`
254×	`distribute-neg-frac_binary64_2429`
248×	`cancel-sign-sub-inv_binary64_2431`
241×	`+-commutative_binary64_2395`
238×	`distribute-frac-neg_binary64_2428`
234×	`associate-+l-_binary64_2400`
223×	`distribute-rgt-in_binary64_2415`
197×	`associate--l-_binary64_2403`
190×	`distribute-lft-neg-in_binary64_2422`
161×	`distribute-lft-in_binary64_2414`
157×	`associate-/r*_binary64_2409`
138×	`associate--r-_binary64_2404`
131×	`distribute-rgt-out--_binary64_2419`
123×	`*-commutative_binary64_2396`
109×	`distribute-rgt-neg-out_binary64_2425`
102×	`associate-+r-_binary64_2399`
101×	`associate-l_binary64_2406`
98×	`associate--r+_binary64_2401`
87×	`distribute-neg-in_binary64_2426`
69×	`distribute-lft-neg-out_binary64_2424`
68×	`associate-r_binary64_2405`
58×	`associate--l+_binary64_2402`
57×	`remove-double-neg_binary64_2453`
55×	`distribute-rgt-out_binary64_2418`
50×	`sub0-neg_binary64_2452` `--rgt-identity_binary64_2451`
45×	`distribute-neg-out_binary64_2427`
41×	`/-rgt-identity_binary64_2456`
25×	`*-lft-identity_binary64_2454`
20×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
19×	`*-rgt-identity_binary64_2455` `distribute-lft-out--_binary64_2417` `associate-+l+_binary64_2398`
18×	`associate-+r+_binary64_2397`
17×	`cancel-sign-sub_binary64_2430`
15×	`associate-/l/_binary64_2412`
14×	`mul-1-neg_binary64_2457` `distribute-rgt1-in_binary64_2421`
13×	`+-rgt-identity_binary64_2450`
12×	`+-lft-identity_binary64_2449`
11×	`associate-*l/_binary64_2408`
9×	`div0_binary64_2446`
7×	`remove-double-div_binary64_2441` `associate-*r/_binary64_2407`
5×	`distribute-lft-out_binary64_2416`
2×	`*-inverses_binary64_2445` `swap-sqr_binary64_2432`
1×	`1-exp_binary64_2509` `sqr-neg_binary64_2479` `distribute-lft1-in_binary64_2420`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `log-div_binary64_2552` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `pow-plus_binary64_2528` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `exp-prod_binary64_2517` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-unmult_binary64_2502` `cube-mult_binary64_2495` `cube-div_binary64_2494` `cube-prod_binary64_2493` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `pow-sqr_binary64_2438` `sqr-pow_binary64_2437` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `unswap-sqr_binary64_2433` `count-2_binary64_2413`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	25
2	39	25
3	61	25
4	89	25
5	154	25
6	242	25
7	407	25
8	771	25
9	938	25
10	2455	25
11	4007	25
12	4231	25
13	4371	25
14	4520	25
15	4807	25
16	5080	25
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify140.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1109×	`div-sub_binary64_2470`
807×	`times-frac_binary64_2471`
671×	`sub-neg_binary64_2458`
600×	`associate-/r/_binary64_2411`
353×	`distribute-rgt-neg-in_binary64_2423`
311×	`neg-sub0_binary64_2460`
309×	`neg-mul-1_binary64_2461`
299×	`unsub-neg_binary64_2459`
286×	`associate-/l*_binary64_2410`
254×	`distribute-neg-frac_binary64_2429`
248×	`cancel-sign-sub-inv_binary64_2431`
241×	`+-commutative_binary64_2395`
238×	`distribute-frac-neg_binary64_2428`
234×	`associate-+l-_binary64_2400`
223×	`distribute-rgt-in_binary64_2415`
197×	`associate--l-_binary64_2403`
190×	`distribute-lft-neg-in_binary64_2422`
161×	`distribute-lft-in_binary64_2414`
157×	`associate-/r*_binary64_2409`
138×	`associate--r-_binary64_2404`
131×	`distribute-rgt-out--_binary64_2419`
123×	`*-commutative_binary64_2396`
109×	`distribute-rgt-neg-out_binary64_2425`
102×	`associate-+r-_binary64_2399`
101×	`associate-l_binary64_2406`
98×	`associate--r+_binary64_2401`
87×	`distribute-neg-in_binary64_2426`
69×	`distribute-lft-neg-out_binary64_2424`
68×	`associate-r_binary64_2405`
58×	`associate--l+_binary64_2402`
57×	`remove-double-neg_binary64_2453`
55×	`distribute-rgt-out_binary64_2418`
50×	`sub0-neg_binary64_2452` `--rgt-identity_binary64_2451`
45×	`distribute-neg-out_binary64_2427`
41×	`/-rgt-identity_binary64_2456`
25×	`*-lft-identity_binary64_2454`
20×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
19×	`*-rgt-identity_binary64_2455` `distribute-lft-out--_binary64_2417` `associate-+l+_binary64_2398`
18×	`associate-+r+_binary64_2397`
17×	`cancel-sign-sub_binary64_2430`
15×	`associate-/l/_binary64_2412`
14×	`mul-1-neg_binary64_2457` `distribute-rgt1-in_binary64_2421`
13×	`+-rgt-identity_binary64_2450`
12×	`+-lft-identity_binary64_2449`
11×	`associate-*l/_binary64_2408`
9×	`div0_binary64_2446`
7×	`remove-double-div_binary64_2441` `associate-*r/_binary64_2407`
5×	`distribute-lft-out_binary64_2416`
2×	`*-inverses_binary64_2445` `swap-sqr_binary64_2432`
1×	`1-exp_binary64_2509` `sqr-neg_binary64_2479` `distribute-lft1-in_binary64_2420`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `log-div_binary64_2552` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `pow-plus_binary64_2528` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `exp-prod_binary64_2517` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-unmult_binary64_2502` `cube-mult_binary64_2495` `cube-div_binary64_2494` `cube-prod_binary64_2493` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `pow-sqr_binary64_2438` `sqr-pow_binary64_2437` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `unswap-sqr_binary64_2433` `count-2_binary64_2413`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	25
2	39	25
3	61	25
4	89	25
5	154	25
6	242	25
7	407	25
8	771	25
9	938	25
10	2455	25
11	4007	25
12	4231	25
13	4371	25
14	4520	25
15	4807	25
16	5080	25

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
0.1b	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
16.2b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

rewrite210.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_2487`
23×	`*-un-lft-identity_binary64_2465`
21×	`add-cube-cbrt_binary64_2500`
19×	`times-frac_binary64_2471`
15×	`cancel-sign-sub-inv_binary64_2431`
8×	`add-exp-log_binary64_2503` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
6×	`pow1_binary64_2526`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`associate-/r/_binary64_2411`
3×	`associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`div-inv_binary64_2462` `associate-/l/_binary64_2412` `associate-*l/_binary64_2408` `difference-of-squares_binary64_2434`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 91

Calls

4 calls:

12.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
11.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
6.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 2822 to 2245 computations (20.4% saved)

series219.0ms (7.5%)

Error

Counts

4 → 26

Calls

4 calls:

73.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
45.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
43.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
34.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

Compiler

Compiled 760 to 621 computations (18.3% saved)

simplify132.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

117 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2689
1	584	2572
2	1755	2554
3	4459	2554
4	5083	2554

prune138.0ms (4.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	2	93

Error

Counts

93 → 2

Compiler

Compiled 2255 to 1768 computations (21.6% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3))
0.2b	(.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)))
0.3b	(*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)
7.0b	(+.f64 (.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3)) (+.f64 (.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))) -162377988252285/70368744177664))

rewrite153.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64_2487`
18×	`associate-r_binary64_2405`
13×	`add-exp-log_binary64_2503`
12×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
10×	`add-cbrt-cube_binary64_2501`
9×	`add-log-exp_binary64_2504` `associate-l_binary64_2406`
8×	`pow1_binary64_2526`
6×	`unswap-sqr_binary64_2433`
5×	`prod-exp_binary64_2514`
4×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
3×	`sum-log_binary64_2556` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`
2×	`pow-prod-down_binary64_2536` `sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407` `sqr-pow_binary64_2437`
1×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-+r+_binary64_2397` `+-commutative_binary64_2395` `flip3--_binary64_2469` `flip--_binary64_2440` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow3_binary64_2531` `cube-mult_binary64_2495`

Counts

4 → 86

Calls

4 calls:

10.0ms	(+.f64 (.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3)) (+.f64 (.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))) -162377988252285/70368744177664))
7.0ms	(*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3))
6.0ms	(.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)))
4.0ms	(*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)

Compiler

Compiled 1919 to 1529 computations (20.3% saved)

series231.0ms (7.9%)

Error

Counts

4 → 24

Calls

4 calls:

82.0ms	(.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)))
56.0ms	(+.f64 (.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3)) (+.f64 (.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))) -162377988252285/70368744177664))
47.0ms	(*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3))
26.0ms	(*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)

Compiler

Compiled 757 to 650 computations (14.1% saved)

simplify118.0ms (4%)

Algorithm

1×	egg-herbie

Rules

670×	`unswap-sqr_binary64_2433`
493×	`distribute-rgt-in_binary64_2415`
475×	`distribute-lft-in_binary64_2414`
333×	`*-commutative_binary64_2396`
166×	`sub-neg_binary64_2458`
160×	`cancel-sign-sub-inv_binary64_2431`
154×	`associate-l_binary64_2406`
136×	`associate-r_binary64_2405`
123×	`exp-prod_binary64_2517`
111×	`distribute-rgt-neg-in_binary64_2423`
100×	`sqr-pow_binary64_2437`
98×	`distribute-lft-neg-in_binary64_2422`
96×	`unsub-neg_binary64_2459`
90×	`associate-+l+_binary64_2398`
84×	`log-prod_binary64_2551` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
82×	`associate-+r+_binary64_2397`
66×	`cube-prod_binary64_2493`
53×	`exp-sum_binary64_2511`
50×	`+-commutative_binary64_2395`
47×	`exp-diff_binary64_2513`
39×	`associate--l+_binary64_2402` `associate--r+_binary64_2401`
31×	`associate-+l-_binary64_2400`
28×	`distribute-neg-in_binary64_2426`
25×	`swap-sqr_binary64_2432`
23×	`pow-sqr_binary64_2438` `distribute-rgt-out_binary64_2418`
21×	`distribute-lft-neg-out_binary64_2424`
20×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454`
18×	`unpow3_binary64_2531`
15×	`associate-+r-_binary64_2399`
14×	`cube-mult_binary64_2495` `distribute-rgt-neg-out_binary64_2425`
13×	`log-pow_binary64_2554`
12×	`sub0-neg_binary64_2452`
11×	`distribute-rgt-out--_binary64_2419` `associate-/l*_binary64_2410`
10×	`pow-plus_binary64_2528`
9×	`cube-unmult_binary64_2502` `rem-sqrt-square_binary64_2478` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
8×	`+-rgt-identity_binary64_2450`
6×	`associate--r-_binary64_2404`
5×	`prod-exp_binary64_2514` `difference-of-squares_binary64_2434` `distribute-lft-out_binary64_2416` `associate--l-_binary64_2403`
3×	`div-sub_binary64_2470` `remove-double-neg_binary64_2453`
2×	`unpow1/2_binary64_2529`
1×	`unpow2_binary64_2530` `unpow1_binary64_2523` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `distribute-lft-out--_binary64_2417` `count-2_binary64_2413`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-rec_binary64_2553` `log-div_binary64_2552` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `sqr-abs_binary64_2480` `times-frac_binary64_2471` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `div0_binary64_2446` `-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-r/_binary64_2407`

Counts

110 → 81

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	1514
1	365	1363
2	1138	1357
3	3530	1339
4	5249	1339

prune97.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Error

Counts

83 → 2

Compiler

Compiled 1558 to 1204 computations (22.7% saved)

regimes98.0ms (3.3%)

Accuracy

Total 0.0b remaining (87.9%)

Threshold costs 0.0b (87.9%)

Compiler

Compiled 737 to 628 computations (14.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64_2395`
5×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `*-commutative_binary64_2396`
3×	`sub-neg_binary64_2458` `*-rgt-identity_binary64_2455`
2×	`unsub-neg_binary64_2459` `distribute-neg-frac_binary64_2429` `distribute-rgt-neg-out_binary64_2425`
1×	`1-exp_binary64_2509` `*-lft-identity_binary64_2454` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `unpow1_binary64_2523` `e-exp-1_binary64_2510` `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` `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-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	26	28
2	32	28
3	36	28
4	39	28
5	46	28
6	45	28
7	43	28

end0.0ms (0%)

sample878.0ms (30%)

Algorithm

1×

intervals

Results

324.0ms

8000×

body

128

valid

Compiler

Compiled 361 to 308 computations (14.7% saved)

Details

analyze464.0ms (15.8%)

sample17.0ms (0.6%)

simplify140.0ms (4.8%)

prune3.0ms (0.1%)

localize13.0ms (0.5%)

rewrite210.0ms (7.2%)

series219.0ms (7.5%)

simplify132.0ms (4.5%)

prune138.0ms (4.7%)

localize11.0ms (0.4%)

rewrite153.0ms (5.2%)

series231.0ms (7.9%)

simplify118.0ms (4%)

prune97.0ms (3.3%)

regimes98.0ms (3.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample878.0ms (30%)

Profiling