Details

analyze178.0ms (2.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

4×	`associate-/r*_binary64_2409`
2×	`*-commutative_binary64_2396`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `1-exp_binary64_2509` `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` `sqr-neg_binary64_2479` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `unsub-neg_binary64_2459` `sub-neg_binary64_2458` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-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` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `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` `swap-sqr_binary64_2432` `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-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `count-2_binary64_2413` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate-l_binary64_2406` `associate-r_binary64_2405` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399` `associate-+l+_binary64_2398` `associate-+r+_binary64_2397` `+-commutative_binary64_2395`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	16	18
2	20	18
3	20	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample15.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64_2409`
1×	`*-commutative_binary64_2396`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `1-exp_binary64_2509` `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` `sqr-neg_binary64_2479` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `unsub-neg_binary64_2459` `sub-neg_binary64_2458` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-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` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `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` `swap-sqr_binary64_2432` `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-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `count-2_binary64_2413` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate-l_binary64_2406` `associate-r_binary64_2405` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399` `associate-+l+_binary64_2398` `associate-+r+_binary64_2397` `+-commutative_binary64_2395`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9
3	12	9

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

17.8b

Counts

1 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

17.3b

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

7×	`cbrt-prod_binary64_2496`
3×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `times-frac_binary64_2471` `*-un-lft-identity_binary64_2465`
1×	`pow1/3_binary64_2547` `pow1_binary64_2526` `add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `cbrt-div_binary64_2497` `div-inv_binary64_2462`

Counts

1 → 16

Calls

1 calls:

3.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 194 to 140 computations (27.8% saved)

series356.0ms (4.7%)

Error

8.1b

Counts

1 → 6

Calls

1 calls:

348.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 240 to 227 computations (5.4% saved)

simplify111.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

624×	`exp-sum_binary64_2511`
462×	`unsub-neg_binary64_2459`
389×	`exp-diff_binary64_2513`
384×	`times-frac_binary64_2471` `sub-neg_binary64_2458`
372×	`distribute-rgt-in_binary64_2415`
350×	`div-sub_binary64_2470`
303×	`distribute-lft-in_binary64_2414`
285×	`prod-exp_binary64_2514`
284×	`exp-prod_binary64_2517`
200×	`sqr-pow_binary64_2437`
199×	`associate--l-_binary64_2403`
158×	`div-exp_binary64_2516`
157×	`associate-r_binary64_2405`
149×	`associate-l_binary64_2406`
135×	`+-commutative_binary64_2395`
129×	`log-prod_binary64_2551`
113×	`*-commutative_binary64_2396`
106×	`associate-+r+_binary64_2397`
99×	`neg-mul-1_binary64_2461`
89×	`associate-+r-_binary64_2399`
84×	`distribute-neg-in_binary64_2426`
76×	`neg-sub0_binary64_2460` `cancel-sign-sub-inv_binary64_2431`
70×	`log-div_binary64_2552`
66×	`associate-/l*_binary64_2410`
63×	`associate--r+_binary64_2401`
57×	`log-pow_binary64_2554`
55×	`pow-sqr_binary64_2438`
50×	`associate--r-_binary64_2404`
48×	`rec-exp_binary64_2515` `associate-+l-_binary64_2400`
41×	`/-rgt-identity_binary64_2456`
39×	`associate-/l/_binary64_2412`
38×	`exp-to-pow_binary64_2527`
37×	`associate--l+_binary64_2402`
35×	`associate-+l+_binary64_2398`
31×	`associate-*r/_binary64_2407`
28×	`*-rgt-identity_binary64_2455`
27×	`*-lft-identity_binary64_2454` `sub0-neg_binary64_2452`
24×	`exp-neg_binary64_2512` `unswap-sqr_binary64_2433` `distribute-rgt-neg-out_binary64_2425`
23×	`unpow3_binary64_2531`
22×	`distribute-neg-out_binary64_2427` `associate-*l/_binary64_2408`
21×	`distribute-frac-neg_binary64_2428`
20×	`cube-prod_binary64_2493`
19×	`distribute-lft-neg-out_binary64_2424` `associate-/r*_binary64_2409`
18×	`unpow1/3_binary64_2532` `pow-plus_binary64_2528`
16×	`rem-exp-log_binary64_2505`
14×	`distribute-rgt-neg-in_binary64_2423`
12×	`log-rec_binary64_2553` `cube-unmult_binary64_2502` `+-rgt-identity_binary64_2450` `associate-/r/_binary64_2411`
11×	`rem-log-exp_binary64_2506` `--rgt-identity_binary64_2451` `distribute-lft-neg-in_binary64_2422`
10×	`mul-1-neg_binary64_2457` `remove-double-neg_binary64_2453` `distribute-rgt-out_binary64_2418`
9×	`unpow1/2_binary64_2529` `distribute-lft-out_binary64_2416`
7×	`cube-mult_binary64_2495`
4×	`rem-sqrt-square_binary64_2478` `distribute-rgt-out--_binary64_2419`
3×	`exp-sqrt_binary64_2518`
2×	`unpow2_binary64_2530` `cube-div_binary64_2494` `distribute-rgt1-in_binary64_2421` `count-2_binary64_2413`
1×	`log-E_binary64_2555` `pow-base-1_binary64_2525` `unpow-1_binary64_2522` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-lft_binary64_2490` `+-lft-identity_binary64_2449` `+-inverses_binary64_2444` `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` `pow-base-0_binary64_2549` `unpow0_binary64_2524` `unpow1_binary64_2523` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `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` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `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` `swap-sqr_binary64_2432` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-lft-out--_binary64_2417`

Counts

22 → 18

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	72	335
1	115	335
2	174	329
3	468	295
4	1440	283
5	3343	281
6	4125	281
7	4083	281
8	4882	281
9	4788	281

prune29.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	11	7	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	8	19

Error

0.2b

Counts

19 → 8

Compiler

Compiled 278 to 205 computations (26.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b	(cbrt.f64 (/.f64 1/2 a))
0.6b	(cbrt.f64 g)

rewrite105.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`cbrt-prod_binary64_2496`
35×	`add-sqr-sqrt_binary64_2487`
21×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
20×	`times-frac_binary64_2471`
16×	`associate-r_binary64_2405`
6×	`unswap-sqr_binary64_2433` `associate-l_binary64_2406`
5×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
4×	`pow1/3_binary64_2547`
3×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
2×	`cbrt-div_binary64_2497` `div-inv_binary64_2462` `pow-prod-down_binary64_2536`
1×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-r/_binary64_2407` `-commutative_binary64_2396`

Counts

3 → 74

Calls

3 calls:

10.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1018 to 641 computations (37% saved)

series612.0ms (8.1%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

370.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
127.0ms	(cbrt.f64 (/.f64 1/2 a))
106.0ms	(cbrt.f64 g)

Compiler

Compiled 435 to 408 computations (6.2% saved)

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

390×	`exp-diff_binary64_2513`
336×	`associate-l_binary64_2406`
249×	`associate-r_binary64_2405`
243×	`associate-+l+_binary64_2398`
241×	`associate-/r*_binary64_2409`
194×	`associate--r+_binary64_2401`
172×	`distribute-rgt-in_binary64_2415`
171×	`times-frac_binary64_2471`
157×	`log-div_binary64_2552` `distribute-lft-in_binary64_2414`
143×	`exp-prod_binary64_2517` `*-commutative_binary64_2396`
140×	`log-prod_binary64_2551`
133×	`associate-/l*_binary64_2410`
124×	`exp-sum_binary64_2511`
102×	`unswap-sqr_binary64_2433`
88×	`associate-+r-_binary64_2399`
77×	`sub-neg_binary64_2458`
72×	`unsub-neg_binary64_2459`
69×	`associate--l+_binary64_2402`
66×	`associate--r-_binary64_2404`
65×	`associate-+l-_binary64_2400`
63×	`sqr-pow_binary64_2437`
61×	`div-sub_binary64_2470`
60×	`cancel-sign-sub-inv_binary64_2431`
53×	`distribute-rgt-neg-in_binary64_2423`
45×	`distribute-lft-neg-in_binary64_2422`
42×	`*-rgt-identity_binary64_2455`
38×	`*-lft-identity_binary64_2454`
35×	`distribute-neg-in_binary64_2426` `associate-/l/_binary64_2412`
32×	`associate--l-_binary64_2403`
29×	`exp-to-pow_binary64_2527`
28×	`neg-sub0_binary64_2460` `associate-*l/_binary64_2408`
27×	`neg-mul-1_binary64_2461`
26×	`associate-+r+_binary64_2397`
24×	`log-pow_binary64_2554`
23×	`cube-prod_binary64_2493`
22×	`associate-*r/_binary64_2407`
17×	`distribute-rgt-neg-out_binary64_2425` `associate-/r/_binary64_2411`
15×	`+-commutative_binary64_2395`
14×	`pow-sqr_binary64_2438`
13×	`exp-neg_binary64_2512` `distribute-neg-out_binary64_2427`
12×	`unpow1/3_binary64_2532` `distribute-lft-out_binary64_2416`
11×	`unpow3_binary64_2531`
10×	`distribute-lft-neg-out_binary64_2424`
8×	`div-exp_binary64_2516` `cube-unmult_binary64_2502`
7×	`log-rec_binary64_2553` `rem-exp-log_binary64_2505` `distribute-frac-neg_binary64_2428`
6×	`distribute-rgt-out_binary64_2418`
5×	`rem-sqrt-square_binary64_2478` `sub0-neg_binary64_2452` `+-rgt-identity_binary64_2450`
4×	`/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `swap-sqr_binary64_2432` `count-2_binary64_2413`
3×	`pow-plus_binary64_2528` `rec-exp_binary64_2515` `prod-exp_binary64_2514`
2×	`unpow1/2_binary64_2529` `rem-3cbrt-lft_binary64_2490`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `cube-mult_binary64_2495` `mul-1-neg_binary64_2457` `distribute-rgt-out--_binary64_2419`
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` `unpow2_binary64_2530` `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` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-lft-out--_binary64_2417`

Counts

86 → 28

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	145	1183
1	256	1179
2	659	1165
3	1709	1131
4	4562	1121
5	5185	1121

prune38.0ms (0.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	22	14	36

Error

0.1b

Counts

36 → 14

Compiler

Compiled 425 to 318 computations (25.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
0.4b	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (/.f64 -1 a))

rewrite145.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`cbrt-prod_binary64_2496`
38×	`add-sqr-sqrt_binary64_2487`
24×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
22×	`associate-l_binary64_2406`
20×	`times-frac_binary64_2471`
11×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
7×	`pow1/3_binary64_2547` `pow-prod-down_binary64_2536` `associate-r_binary64_2405`
6×	`unswap-sqr_binary64_2433`
5×	`add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`cbrt-div_binary64_2497`
2×	`div-inv_binary64_2462` `associate-l/_binary64_2408` `-commutative_binary64_2396`
1×	`associate-*r/_binary64_2407`

Counts

4 → 97

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
9.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
2.0ms	(cbrt.f64 (/.f64 -1 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1596 to 1166 computations (26.9% saved)

series847.0ms (11.3%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

439.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
150.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
126.0ms	(cbrt.f64 (/.f64 -1 a))
116.0ms	(cbrt.f64 g)

Compiler

Compiled 639 to 603 computations (5.6% saved)

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

324×	`*-commutative_binary64_2396`
288×	`log-prod_binary64_2551`
264×	`unswap-sqr_binary64_2433`
229×	`times-frac_binary64_2471`
222×	`associate-/l*_binary64_2410`
197×	`distribute-rgt-in_binary64_2415`
195×	`associate-/r*_binary64_2409`
186×	`distribute-lft-in_binary64_2414`
140×	`exp-sum_binary64_2511`
139×	`log-div_binary64_2552`
119×	`associate-r_binary64_2405`
117×	`associate-l_binary64_2406`
109×	`exp-prod_binary64_2517`
100×	`sqr-pow_binary64_2437` `associate-/l/_binary64_2412`
81×	`sub-neg_binary64_2458`
78×	`associate-*l/_binary64_2408`
69×	`div-sub_binary64_2470` `unsub-neg_binary64_2459` `associate-*r/_binary64_2407`
64×	`exp-diff_binary64_2513`
55×	`associate-/r/_binary64_2411`
48×	`cancel-sign-sub-inv_binary64_2431`
46×	`log-pow_binary64_2554`
38×	`cube-prod_binary64_2493`
36×	`associate-+r+_binary64_2397`
33×	`distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
29×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `associate-+l+_binary64_2398`
28×	`swap-sqr_binary64_2432` `distribute-neg-in_binary64_2426`
26×	`pow-sqr_binary64_2438`
21×	`associate-+r-_binary64_2399`
18×	`+-commutative_binary64_2395`
17×	`*-rgt-identity_binary64_2455`
15×	`distribute-rgt-neg-out_binary64_2425`
13×	`exp-neg_binary64_2512` `distribute-neg-out_binary64_2427`
12×	`*-lft-identity_binary64_2454` `distribute-frac-neg_binary64_2428`
11×	`log-rec_binary64_2553` `associate-+l-_binary64_2400`
10×	`unpow1/3_binary64_2532` `associate--r+_binary64_2401`
9×	`exp-to-pow_binary64_2527` `rem-sqrt-square_binary64_2478` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-out_binary64_2418` `associate--r-_binary64_2404`
8×	`cube-unmult_binary64_2502` `distribute-lft-out_binary64_2416`
7×	`rem-exp-log_binary64_2505` `count-2_binary64_2413` `associate--l-_binary64_2403`
6×	`/-rgt-identity_binary64_2456` `sub0-neg_binary64_2452`
5×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `+-rgt-identity_binary64_2450`
4×	`remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `associate--l+_binary64_2402`
3×	`prod-exp_binary64_2514`
2×	`unpow1/2_binary64_2529` `pow-plus_binary64_2528` `rec-exp_binary64_2515` `rem-3cbrt-lft_binary64_2490` `rem-cube-cbrt_binary64_2488` `mul-1-neg_binary64_2457`
1×	`unpow2_binary64_2530` `unpow1_binary64_2523` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `div0_binary64_2446` `distribute-rgt-out--_binary64_2419`
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` `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` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `+-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` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-lft-out--_binary64_2417`

Counts

112 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	1583
1	324	1572
2	859	1538
3	1775	1456
4	4523	1456
5	4958	1456

prune84.0ms (1.1%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	56	7	63
Fresh	4	7	11
Picked	0	1	1
Done	0	2	2
Total	60	17	77

Error

0.0b

Counts

77 → 17

Compiler

Compiled 1078 to 777 computations (27.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0b	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

rewrite165.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

51×	`cbrt-prod_binary64_2496`
34×	`add-sqr-sqrt_binary64_2487`
26×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
18×	`times-frac_binary64_2471`
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` `cbrt-div_binary64_2497` `div-inv_binary64_2462`

Counts

4 → 91

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
3.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1946 to 1596 computations (18% saved)

series293.0ms (3.9%)

Error

0.0b

Counts

4 → 6

Calls

4 calls:

177.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
108.0ms	(cbrt.f64 g)
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
0.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))

Compiler

Compiled 351 to 339 computations (3.4% saved)

simplify138.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-/l*_binary64_2410`
403×	`log-prod_binary64_2551`
334×	`times-frac_binary64_2471`
269×	`exp-prod_binary64_2517`
253×	`associate-*l/_binary64_2408`
247×	`log-div_binary64_2552`
222×	`associate-/l/_binary64_2412`
200×	`exp-sum_binary64_2511`
195×	`associate-l_binary64_2406`
187×	`associate-/r_binary64_2409` `-commutative_binary64_2396`
185×	`div-exp_binary64_2516`
179×	`associate-*r/_binary64_2407`
162×	`sqr-pow_binary64_2437`
155×	`log-pow_binary64_2554`
154×	`sub-neg_binary64_2458`
135×	`associate-r_binary64_2405`
131×	`associate-/r/_binary64_2411`
108×	`associate-+r+_binary64_2397`
107×	`div-sub_binary64_2470`
104×	`associate-+l+_binary64_2398`
87×	`unswap-sqr_binary64_2433`
84×	`exp-diff_binary64_2513`
59×	`associate-+l-_binary64_2400`
54×	`pow-sqr_binary64_2438`
49×	`distribute-rgt-in_binary64_2415`
48×	`distribute-lft-in_binary64_2414`
46×	`prod-exp_binary64_2514` `associate-+r-_binary64_2399`
43×	`log-rec_binary64_2553`
42×	`unsub-neg_binary64_2459`
40×	`pow-plus_binary64_2528`
32×	`exp-to-pow_binary64_2527` `*-lft-identity_binary64_2454` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
31×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
28×	`cube-div_binary64_2494`
27×	`*-rgt-identity_binary64_2455`
24×	`+-commutative_binary64_2395`
22×	`unpow3_binary64_2531` `cube-prod_binary64_2493` `swap-sqr_binary64_2432`
21×	`associate--l+_binary64_2402`
19×	`unpow1/3_binary64_2532` `rem-sqrt-square_binary64_2478`
18×	`cube-unmult_binary64_2502`
16×	`/-rgt-identity_binary64_2456`
13×	`cancel-sign-sub-inv_binary64_2431` `associate--l-_binary64_2403`
12×	`+-rgt-identity_binary64_2450`
10×	`rec-exp_binary64_2515` `count-2_binary64_2413`
9×	`associate--r+_binary64_2401`
8×	`distribute-neg-in_binary64_2426`
7×	`rem-exp-log_binary64_2505` `associate--r-_binary64_2404`
6×	`unpow1/2_binary64_2529` `remove-double-div_binary64_2441`
5×	`unpow2_binary64_2530` `rem-3cbrt-lft_binary64_2490`
4×	`mul-1-neg_binary64_2457` `distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-out_binary64_2424`
3×	`unpow1_binary64_2523` `sub0-neg_binary64_2452` `distribute-rgt-out_binary64_2418`
2×	`exp-neg_binary64_2512` `rem-3cbrt-rft_binary64_2491` `distribute-lft-out_binary64_2416`
1×	`pow-base-1_binary64_2525` `exp-lft-sqr_binary64_2520` `exp-sqrt_binary64_2518` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-log-exp_binary64_2506` `cube-mult_binary64_2495` `rem-cbrt-cube_binary64_2489` `rem-square-sqrt_binary64_2477` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `+-inverses_binary64_2444`
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` `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-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `remove-double-neg_binary64_2453` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `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` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417`

Counts

97 → 64

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	154	1287
1	228	1279
2	512	1267
3	1249	1217
4	3507	1049
5	4304	977
6	4706	977
7	5032	977

prune90.0ms (1.2%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	3	10	13
Picked	0	1	1
Done	0	3	3
Total	63	18	81

Error

0.0b

Counts

81 → 18

Compiler

Compiled 1166 to 954 computations (18.2% saved)

regimes1.3s (16.6%)

Accuracy

Total 0.9b remaining (98.9%)

Threshold costs 0.9b (98.9%)

Compiler

Compiled 10711 to 9533 computations (11% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_2396

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_2725 if-if-and_binary64_2724 if-if-or-not_binary64_2723 if-if-or_binary64_2722 if-not_binary64_2721 if-same_binary64_2720 if-false_binary64_2719 if-true_binary64_2718 tan-0_binary64_2594 cos-0_binary64_2593 sin-0_binary64_2592 unpow1_binary64_2523 e-exp-1_binary64_2510 1-exp_binary64_2509 exp-1-e_binary64_2508 exp-0_binary64_2507 sqr-abs_binary64_2480 sqr-neg_binary64_2479 neg-mul-1_binary64_2461 neg-sub0_binary64_2460 unsub-neg_binary64_2459 sub-neg_binary64_2458 mul-1-neg_binary64_2457 /-rgt-identity_binary64_2456 *-rgt-identity_binary64_2455 *-lft-identity_binary64_2454 remove-double-neg_binary64_2453 sub0-neg_binary64_2452 --rgt-identity_binary64_2451 +-rgt-identity_binary64_2450 +-lft-identity_binary64_2449 cancel-sign-sub-inv_binary64_2431 cancel-sign-sub_binary64_2430 distribute-neg-frac_binary64_2429 distribute-frac-neg_binary64_2428 distribute-neg-out_binary64_2427 distribute-neg-in_binary64_2426 distribute-rgt-neg-out_binary64_2425 distribute-lft-neg-out_binary64_2424 distribute-rgt-neg-in_binary64_2423 distribute-lft-neg-in_binary64_2422 +-commutative_binary64_2395

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	13	16
2	13	16

end0.0ms (0%)

sample2.8s (37.2%)

Algorithm

1×

intervals

Results

216.0ms

8000×

body

128

valid

Compiler

Compiled 2081 to 1855 computations (10.9% saved)

Details

analyze178.0ms (2.4%)

sample15.0ms (0.2%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite29.0ms (0.4%)

series356.0ms (4.7%)

simplify111.0ms (1.5%)

prune29.0ms (0.4%)

localize6.0ms (0.1%)

rewrite105.0ms (1.4%)

series612.0ms (8.1%)

simplify91.0ms (1.2%)

prune38.0ms (0.5%)

localize11.0ms (0.1%)

rewrite145.0ms (1.9%)

series847.0ms (11.3%)

simplify105.0ms (1.4%)

prune84.0ms (1.1%)

localize11.0ms (0.1%)

rewrite165.0ms (2.2%)

series293.0ms (3.9%)

simplify138.0ms (1.8%)

prune90.0ms (1.2%)

regimes1.3s (16.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (37.2%)

Profiling