Details

analyze352.0ms (4.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

478×	`sub-neg_binary64_2458`
434×	`distribute-rgt-in_binary64_2415` `associate-+l+_binary64_2398`
406×	`associate-l_binary64_2406`
374×	`associate-+r+_binary64_2397`
354×	`associate--l+_binary64_2402`
350×	`*-commutative_binary64_2396`
326×	`associate-r_binary64_2405`
291×	`distribute-lft-in_binary64_2414`
286×	`distribute-rgt-out_binary64_2418`
280×	`neg-mul-1_binary64_2461`
244×	`unsub-neg_binary64_2459`
194×	`neg-sub0_binary64_2460`
142×	`associate-+l-_binary64_2400`
130×	`+-commutative_binary64_2395`
119×	`distribute-rgt-neg-out_binary64_2425`
118×	`distribute-lft-neg-out_binary64_2424`
112×	`distribute-lft-out_binary64_2416`
93×	`cancel-sign-sub-inv_binary64_2431`
84×	`associate-+r-_binary64_2399`
58×	`associate--r+_binary64_2401`
40×	`distribute-rgt-neg-in_binary64_2423`
38×	`unswap-sqr_binary64_2433`
29×	`distribute-lft-neg-in_binary64_2422`
22×	`associate--r-_binary64_2404`
20×	`*-rgt-identity_binary64_2455`
19×	`*-lft-identity_binary64_2454`
18×	`distribute-neg-in_binary64_2426`
14×	`sqr-pow_binary64_2437`
8×	`difference-of-sqr--1_binary64_2436`
7×	`pow-plus_binary64_2528`
6×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `swap-sqr_binary64_2432` `distribute-lft1-in_binary64_2420`
5×	`cube-unmult_binary64_2502`
4×	`difference-of-sqr-1_binary64_2435`
2×	`unpow2_binary64_2530` `mul-1-neg_binary64_2457` `sub0-neg_binary64_2452`
1×	`unpow3_binary64_2531` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `1-exp_binary64_2509` `cube-prod_binary64_2493` `rem-sqrt-square_binary64_2478` `distribute-rgt1-in_binary64_2421`
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` `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` `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-mult_binary64_2495` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-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` `pow-sqr_binary64_2438` `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-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `count-2_binary64_2413` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-*r/_binary64_2407` `associate--l-_binary64_2403`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	92
1	100	92
2	254	92
3	765	92
4	2201	92
5	4207	92
6	4979	92
7	5012	92
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

669×	`unsub-neg_binary64_2459`
596×	`cancel-sign-sub-inv_binary64_2431`
373×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
340×	`+-commutative_binary64_2395`
277×	`sub-neg_binary64_2458`
242×	`distribute-rgt-neg-in_binary64_2423`
232×	`associate-+l+_binary64_2398`
220×	`*-commutative_binary64_2396`
212×	`associate-l_binary64_2406`
192×	`associate-+r+_binary64_2397`
188×	`associate--l+_binary64_2402`
185×	`associate-r_binary64_2405`
174×	`distribute-rgt-in_binary64_2415`
149×	`distribute-rgt-out_binary64_2418`
147×	`distribute-lft-in_binary64_2414`
146×	`distribute-neg-in_binary64_2426`
134×	`distribute-lft-neg-out_binary64_2424`
113×	`distribute-rgt-neg-out_binary64_2425`
84×	`unswap-sqr_binary64_2433`
72×	`associate-+l-_binary64_2400`
66×	`cancel-sign-sub_binary64_2430`
45×	`associate-+r-_binary64_2399`
38×	`distribute-lft-out_binary64_2416` `associate--r+_binary64_2401`
27×	`*-rgt-identity_binary64_2455`
26×	`distribute-lft-neg-in_binary64_2422`
20×	`*-lft-identity_binary64_2454`
19×	`sqr-pow_binary64_2437`
11×	`associate--r-_binary64_2404`
10×	`sub0-neg_binary64_2452`
9×	`pow-plus_binary64_2528` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
8×	`+-rgt-identity_binary64_2450` `difference-of-sqr--1_binary64_2436`
6×	`cube-unmult_binary64_2502` `swap-sqr_binary64_2432`
5×	`rem-sqrt-square_binary64_2478` `difference-of-sqr-1_binary64_2435` `distribute-lft1-in_binary64_2420`
4×	`distribute-neg-out_binary64_2427`
3×	`unpow2_binary64_2530` `cube-prod_binary64_2493`
2×	`mul-1-neg_binary64_2457`
1×	`unpow3_binary64_2531` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `1-exp_binary64_2509` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `pow-sqr_binary64_2438` `distribute-rgt1-in_binary64_2421`
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` `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` `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-mult_binary64_2495` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `/-rgt-identity_binary64_2456` `+-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-squares_binary64_2434` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `count-2_binary64_2413` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-*r/_binary64_2407` `associate--l-_binary64_2403`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	61	46
2	152	46
3	438	46
4	1297	46
5	2508	46
6	4605	46
7	5029	46

prune4.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite241.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`associate-*r/_binary64_2407`
17×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
16×	`add-cbrt-cube_binary64_2501`
14×	`add-sqr-sqrt_binary64_2487`
12×	`*-un-lft-identity_binary64_2465`
10×	`add-cube-cbrt_binary64_2500` `associate-r_binary64_2405`
7×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
5×	`associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3-+_binary64_2468` `flip-+_binary64_2439` `frac-add_binary64_2473`
3×	`unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `*-commutative_binary64_2396` `unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `distribute-lft-out_binary64_2416`

Counts

4 → 93

Calls

4 calls:

17.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3937 to 2196 computations (44.2% saved)

series855.0ms (10%)

Error

0.0b

Counts

4 → 43

Calls

4 calls:

294.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
256.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
164.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
74.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3287 to 2374 computations (27.8% saved)

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

378×	`associate-l_binary64_2406`
312×	`associate-r_binary64_2405`
270×	`associate-+l+_binary64_2398`
263×	`associate-+r+_binary64_2397`
198×	`exp-prod_binary64_2517`
195×	`+-commutative_binary64_2395`
170×	`sqr-pow_binary64_2437`
169×	`*-commutative_binary64_2396`
165×	`distribute-rgt-in_binary64_2415`
157×	`distribute-lft-in_binary64_2414`
140×	`cancel-sign-sub-inv_binary64_2431`
130×	`unsub-neg_binary64_2459`
127×	`unswap-sqr_binary64_2433`
121×	`distribute-rgt-neg-in_binary64_2423`
103×	`neg-sub0_binary64_2460`
102×	`neg-mul-1_binary64_2461`
101×	`sub-neg_binary64_2458`
97×	`distribute-lft-neg-in_binary64_2422`
83×	`distribute-rgt-out_binary64_2418`
72×	`exp-sum_binary64_2511`
65×	`log-prod_binary64_2551`
56×	`cube-prod_binary64_2493`
44×	`distribute-lft-out_binary64_2416`
38×	`*-lft-identity_binary64_2454`
34×	`pow-sqr_binary64_2438`
33×	`distribute-lft-neg-out_binary64_2424`
26×	`*-rgt-identity_binary64_2455`
23×	`distribute-rgt-neg-out_binary64_2425`
21×	`swap-sqr_binary64_2432`
20×	`associate--l+_binary64_2402`
18×	`pow-plus_binary64_2528`
15×	`log-pow_binary64_2554` `exp-diff_binary64_2513` `rem-sqrt-square_binary64_2478`
14×	`unpow3_binary64_2531` `cube-unmult_binary64_2502` `associate-+l-_binary64_2400`
13×	`distribute-rgt-out--_binary64_2419` `associate--r+_binary64_2401` `associate-+r-_binary64_2399`
11×	`remove-double-neg_binary64_2453`
9×	`+-rgt-identity_binary64_2450` `distribute-neg-in_binary64_2426`
8×	`unpow1/2_binary64_2529` `sub0-neg_binary64_2452` `distribute-rgt1-in_binary64_2421`
7×	`unpow2_binary64_2530` `cube-mult_binary64_2495` `div-sub_binary64_2470`
6×	`unpow1_binary64_2523`
5×	`distribute-lft-out--_binary64_2417`
4×	`exp-lft-cube_binary64_2521` `exp-neg_binary64_2512` `associate--r-_binary64_2404`
3×	`associate-/l/_binary64_2412` `associate-*r/_binary64_2407`
2×	`difference-of-squares_binary64_2434` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413` `associate-/l*_binary64_2410`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-rft_binary64_2491` `rem-square-sqrt_binary64_2477` `difference-of-sqr--1_binary64_2436` `associate-/r/_binary64_2411`
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-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `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-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `times-frac_binary64_2471` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `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` `associate-/r_binary64_2409` `associate-*l/_binary64_2408` `associate--l-_binary64_2403`

Counts

136 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2627
1	606	2449
2	2198	2437
3	4173	2428
4	5037	2428

prune214.0ms (2.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	3	111

Error

0.0b

Counts

111 → 3

Compiler

Compiled 4190 to 2293 computations (45.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.5b	(.f64 a (.f64 b b))
1.4b	(.f64 a (.f64 a (*.f64 b b)))

rewrite239.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
15×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
11×	`add-sqr-sqrt_binary64_2487`
10×	`*-un-lft-identity_binary64_2465`
9×	`associate-r_binary64_2405`
8×	`add-cube-cbrt_binary64_2500` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `-commutative_binary64_2396` `associate-r/_binary64_2407`
3×	`unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
2×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`
1×	`flip3--_binary64_2469` `flip--_binary64_2440` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416`

Counts

4 → 89

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (+.f64 1 a))
9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series469.0ms (5.5%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

131.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
124.0ms	(.f64 a (.f64 a (*.f64 b b)))
104.0ms	(.f64 a (.f64 b b))
64.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2817 to 2044 computations (27.4% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

471×	`*-commutative_binary64_2396`
355×	`distribute-rgt-in_binary64_2415`
316×	`distribute-lft-in_binary64_2414`
300×	`associate-l_binary64_2406`
299×	`sqr-pow_binary64_2437`
253×	`associate-r_binary64_2405`
229×	`neg-mul-1_binary64_2461`
227×	`unsub-neg_binary64_2459`
225×	`neg-sub0_binary64_2460`
223×	`exp-prod_binary64_2517`
200×	`+-commutative_binary64_2395`
141×	`unswap-sqr_binary64_2433`
127×	`distribute-rgt-neg-in_binary64_2423`
118×	`sub-neg_binary64_2458`
112×	`distribute-lft-neg-in_binary64_2422`
100×	`distribute-lft-neg-out_binary64_2424`
96×	`cancel-sign-sub-inv_binary64_2431`
95×	`distribute-rgt-neg-out_binary64_2425`
85×	`pow-sqr_binary64_2438` `distribute-rgt-out_binary64_2418`
73×	`log-prod_binary64_2551`
65×	`cube-prod_binary64_2493`
58×	`*-lft-identity_binary64_2454`
54×	`*-rgt-identity_binary64_2455`
43×	`associate-/l*_binary64_2410` `associate-+l+_binary64_2398`
41×	`associate-+r+_binary64_2397`
32×	`swap-sqr_binary64_2432`
31×	`exp-sum_binary64_2511`
29×	`associate-+l-_binary64_2400`
25×	`exp-diff_binary64_2513`
21×	`unpow3_binary64_2531`
19×	`sub0-neg_binary64_2452`
18×	`div-sub_binary64_2470`
17×	`cube-mult_binary64_2495` `associate-/r*_binary64_2409`
16×	`distribute-rgt1-in_binary64_2421`
14×	`cube-unmult_binary64_2502` `distribute-lft-out_binary64_2416` `associate-+r-_binary64_2399`
13×	`pow-plus_binary64_2528` `times-frac_binary64_2471`
12×	`unpow1/2_binary64_2529` `associate-/l/_binary64_2412` `associate-*r/_binary64_2407`
10×	`exp-lft-cube_binary64_2521` `rem-sqrt-square_binary64_2478`
8×	`+-rgt-identity_binary64_2450` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `associate-/r/_binary64_2411`
7×	`distribute-lft1-in_binary64_2420`
6×	`log-pow_binary64_2554` `distribute-rgt-out--_binary64_2419`
5×	`count-2_binary64_2413`
4×	`sqr-neg_binary64_2479`
3×	`exp-neg_binary64_2512` `difference-of-sqr-1_binary64_2435`
2×	`unpow2_binary64_2530` `unpow1_binary64_2523` `cube-neg_binary64_2492`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451`
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-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477` `mul-1-neg_binary64_2457` `+-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-squares_binary64_2434` `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-lft-out--_binary64_2417` `associate-l/_binary64_2408` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401`

Counts

115 → 93

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	138	1561
1	360	1290
2	1266	1257
3	2704	1239
4	3861	1236
5	5115	1236

prune212.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	93	3	96

Error

0.0b

Counts

96 → 3

Compiler

Compiled 3981 to 2329 computations (41.5% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
22.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
22.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
22.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite230.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`cbrt-prod_binary64_2496`
12×	`add-sqr-sqrt_binary64_2487`
11×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544`
4×	`add-log-exp_binary64_2504`
3×	`pow1/3_binary64_2547` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-r_binary64_2405`
2×	`sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407`
1×	`unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-l_binary64_2406` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

Compiler

Compiled 4662 to 2198 computations (52.9% saved)

series1.1s (13.3%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

293.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
292.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
284.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
159.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 6600 to 4132 computations (37.4% saved)

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

562×	`unsub-neg_binary64_2459`
472×	`distribute-neg-out_binary64_2427`
455×	`associate-+l+_binary64_2398`
322×	`unswap-sqr_binary64_2433`
296×	`*-commutative_binary64_2396`
195×	`associate-+r+_binary64_2397`
179×	`sqr-pow_binary64_2437`
165×	`neg-mul-1_binary64_2461`
162×	`neg-sub0_binary64_2460`
137×	`cancel-sign-sub-inv_binary64_2431`
136×	`distribute-rgt-in_binary64_2415`
135×	`exp-prod_binary64_2517`
131×	`distribute-lft-in_binary64_2414`
126×	`associate-l_binary64_2406`
105×	`associate-r_binary64_2405`
97×	`distribute-rgt-neg-in_binary64_2423`
96×	`distribute-lft-neg-out_binary64_2424`
91×	`distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-in_binary64_2422`
77×	`sub-neg_binary64_2458`
53×	`+-commutative_binary64_2395`
39×	`rem-sqrt-square_binary64_2478`
32×	`*-lft-identity_binary64_2454`
29×	`*-rgt-identity_binary64_2455`
28×	`pow-sqr_binary64_2438`
27×	`exp-sum_binary64_2511` `associate-+l-_binary64_2400`
21×	`log-prod_binary64_2551` `exp-diff_binary64_2513` `cancel-sign-sub_binary64_2430`
20×	`swap-sqr_binary64_2432` `associate-/r*_binary64_2409`
19×	`cube-prod_binary64_2493`
18×	`pow-plus_binary64_2528`
17×	`cube-unmult_binary64_2502` `div-sub_binary64_2470`
13×	`sub0-neg_binary64_2452` `associate-/l*_binary64_2410` `associate-+r-_binary64_2399`
11×	`unpow3_binary64_2531`
10×	`associate-/l/_binary64_2412`
9×	`unpow1/2_binary64_2529`
8×	`+-rgt-identity_binary64_2450` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
7×	`exp-lft-cube_binary64_2521` `cube-mult_binary64_2495` `difference-of-squares_binary64_2434`
6×	`unpow2_binary64_2530` `unpow1_binary64_2523`
4×	`unpow1/3_binary64_2532` `exp-neg_binary64_2512` `sqr-neg_binary64_2479` `distribute-neg-frac_binary64_2429` `distribute-rgt-out--_binary64_2419`
3×	`log-pow_binary64_2554` `difference-of-sqr-1_binary64_2435` `distribute-frac-neg_binary64_2428` `count-2_binary64_2413`
2×	`cube-neg_binary64_2492` `distribute-rgt1-in_binary64_2421` `distribute-rgt-out_binary64_2418` `distribute-lft-out_binary64_2416`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-square-sqrt_binary64_2477` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `difference-of-sqr--1_binary64_2436` `associate-*r/_binary64_2407`
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` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `times-frac_binary64_2471` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `+-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` `distribute-neg-in_binary64_2426` `distribute-lft1-in_binary64_2420` `distribute-lft-out--_binary64_2417` `associate-/r/_binary64_2411` `associate-l/_binary64_2408` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401`

Counts

117 → 105

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	2288
1	247	2108
2	711	2108
3	1429	2108
4	2808	2108
5	4939	2108

prune271.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	4	108

Error

Counts

108 → 4

Compiler

Compiled 6241 to 2982 computations (52.2% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

10.4b	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))
10.4b	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))
22.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
22.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite185.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`cbrt-prod_binary64_2496`
10×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
6×	`unpow-prod-down_binary64_2544`
4×	`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`
2×	`unpow2_binary64_2530` `sqr-pow_binary64_2437` `flip3-+_binary64_2468` `flip-+_binary64_2439`

Counts

4 → 58

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
4.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))
4.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 4162 to 1516 computations (63.6% saved)

series1.2s (14.1%)

Error

Counts

4 → 48

Calls

4 calls:

291.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
277.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
257.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))
253.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 8184 to 4700 computations (42.6% saved)

simplify104.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

680×	`unswap-sqr_binary64_2433`
308×	`difference-of-squares_binary64_2434`
265×	`distribute-rgt-in_binary64_2415`
245×	`associate-l_binary64_2406`
241×	`distribute-lft-in_binary64_2414`
231×	`associate-r_binary64_2405`
147×	`cancel-sign-sub-inv_binary64_2431`
133×	`sqr-pow_binary64_2437`
93×	`*-commutative_binary64_2396`
88×	`unsub-neg_binary64_2459`
85×	`distribute-rgt-neg-in_binary64_2423`
84×	`sub-neg_binary64_2458`
81×	`rem-sqrt-square_binary64_2478`
77×	`neg-mul-1_binary64_2461` `distribute-lft-neg-in_binary64_2422`
75×	`neg-sub0_binary64_2460`
72×	`associate-/r*_binary64_2409`
41×	`distribute-rgt-out_binary64_2418`
40×	`cube-unmult_binary64_2502`
34×	`pow-plus_binary64_2528`
33×	`+-commutative_binary64_2395`
28×	`associate-/l/_binary64_2412`
26×	`unpow3_binary64_2531` `cube-prod_binary64_2493`
23×	`distribute-lft-neg-out_binary64_2424`
21×	`pow-sqr_binary64_2438`
20×	`distribute-rgt-out--_binary64_2419` `associate-+l+_binary64_2398`
16×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `associate-+l-_binary64_2400`
13×	`distribute-rgt-neg-out_binary64_2425` `associate-+r-_binary64_2399` `associate-+r+_binary64_2397`
12×	`sub0-neg_binary64_2452`
10×	`distribute-lft-out_binary64_2416`
9×	`+-rgt-identity_binary64_2450` `distribute-lft-out--_binary64_2417`
8×	`unpow1/3_binary64_2532` `swap-sqr_binary64_2432`
7×	`log-prod_binary64_2551` `exp-prod_binary64_2517`
6×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523`
5×	`log-pow_binary64_2554`
4×	`distribute-neg-in_binary64_2426` `associate--r+_binary64_2401`
3×	`cube-mult_binary64_2495`
2×	`rem-3cbrt-lft_binary64_2490` `+-lft-identity_binary64_2449`
1×	`1-exp_binary64_2509` `rem-cbrt-cube_binary64_2489` `rem-square-sqrt_binary64_2477` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `count-2_binary64_2413` `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` `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` `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-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `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` `--rgt-identity_binary64_2451` `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-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate--r-_binary64_2404` `associate--l-_binary64_2403`

Counts

106 → 84

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	2038
1	210	1932
2	476	1932
3	1456	1920
4	4002	1920
5	4986	1920

prune229.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Error

Counts

88 → 4

Compiler

Compiled 5486 to 2180 computations (60.3% saved)

regimes457.0ms (5.4%)

Accuracy

Total 0.0b remaining (49.7%)

Threshold costs 0.0b (49.7%)

Compiler

Compiled 6604 to 4173 computations (36.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64_2396`
11×	`+-commutative_binary64_2395`
10×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
6×	`sub-neg_binary64_2458`
5×	`distribute-rgt-neg-in_binary64_2423`
4×	`*-rgt-identity_binary64_2455` `distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-out_binary64_2424` `distribute-lft-neg-in_binary64_2422`
3×	`unsub-neg_binary64_2459` `*-lft-identity_binary64_2454` `cancel-sign-sub-inv_binary64_2431`
1×	`1-exp_binary64_2509`
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_binary64_2430` `distribute-neg-frac_binary64_2429` `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	25	58
1	46	58
2	58	58
3	66	58
4	83	58
5	84	58
6	85	58
7	81	58

end0.0ms (0%)

sample1.6s (19%)

Algorithm

1×

intervals

Results

557.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 1198 to 766 computations (36.1% saved)

Details

analyze352.0ms (4.1%)

sample28.0ms (0.3%)

simplify62.0ms (0.7%)

prune4.0ms (0.1%)

localize20.0ms (0.2%)

rewrite241.0ms (2.8%)

series855.0ms (10%)

simplify115.0ms (1.3%)

prune214.0ms (2.5%)

localize25.0ms (0.3%)

rewrite239.0ms (2.8%)

series469.0ms (5.5%)

simplify96.0ms (1.1%)

prune212.0ms (2.5%)

localize24.0ms (0.3%)

rewrite230.0ms (2.7%)

series1.1s (13.3%)

simplify109.0ms (1.3%)

prune271.0ms (3.2%)

localize27.0ms (0.3%)

rewrite185.0ms (2.2%)

series1.2s (14.1%)

simplify104.0ms (1.2%)

prune229.0ms (2.7%)

regimes457.0ms (5.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.6s (19%)

Profiling