Details

analyze344.0ms (3.6%)

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)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify66.0ms (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%)

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)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.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)
0.4b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite192.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
14×	`add-cbrt-cube_binary64_2501`
10×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
8×	`add-cube-cbrt_binary64_2500`
7×	`associate-r_binary64_2405`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498`
4×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`unswap-sqr_binary64_2433` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `associate-l_binary64_2406` `*-commutative_binary64_2396` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-+r+_binary64_2397`
1×	`flip3--_binary64_2469` `flip--_binary64_2440` `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` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 80

Calls

4 calls:

8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series1.2s (12.4%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

559.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
286.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
158.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
82.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3786 to 2858 computations (24.5% saved)

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

853×	`distribute-rgt-in_binary64_2415`
794×	`distribute-lft-in_binary64_2414`
274×	`cancel-sign-sub-inv_binary64_2431`
246×	`associate-l_binary64_2406`
204×	`associate-r_binary64_2405`
122×	`distribute-rgt-neg-in_binary64_2423`
109×	`*-commutative_binary64_2396`
104×	`distribute-lft-neg-in_binary64_2422`
95×	`unswap-sqr_binary64_2433`
85×	`distribute-rgt-out_binary64_2418`
71×	`+-commutative_binary64_2395`
69×	`sqr-pow_binary64_2437`
63×	`exp-prod_binary64_2517`
58×	`associate-+r+_binary64_2397`
55×	`distribute-lft-out_binary64_2416`
49×	`associate-+l+_binary64_2398`
43×	`sub-neg_binary64_2458`
42×	`log-prod_binary64_2551`
36×	`associate--l+_binary64_2402`
35×	`distribute-neg-in_binary64_2426`
31×	`distribute-lft-neg-out_binary64_2424`
29×	`neg-sub0_binary64_2460`
28×	`neg-mul-1_binary64_2461` `*-lft-identity_binary64_2454`
27×	`exp-sum_binary64_2511`
23×	`cube-prod_binary64_2493`
22×	`*-rgt-identity_binary64_2455`
20×	`distribute-rgt-out--_binary64_2419`
19×	`swap-sqr_binary64_2432` `distribute-rgt-neg-out_binary64_2425`
12×	`cube-unmult_binary64_2502` `pow-sqr_binary64_2438`
9×	`pow-plus_binary64_2528` `unsub-neg_binary64_2459`
8×	`distribute-lft-out--_binary64_2417`
7×	`log-pow_binary64_2554`
6×	`unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523`
5×	`cube-mult_binary64_2495`
2×	`exp-diff_binary64_2513` `rem-sqrt-square_binary64_2478` `distribute-rgt1-in_binary64_2421` `count-2_binary64_2413` `associate--r+_binary64_2401`
1×	`prod-exp_binary64_2514` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-rft_binary64_2491` `rem-square-sqrt_binary64_2477` `div-sub_binary64_2470` `difference-of-squares_binary64_2434` `associate-/l*_binary64_2410` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`
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-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` `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` `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-lft1-in_binary64_2420` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate--r-_binary64_2404` `associate--l-_binary64_2403`

Counts

134 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	3017
1	533	2701
2	1756	2616
3	5452	2616

prune207.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	4	107

Error

0.0b

Counts

107 → 4

Compiler

Compiled 3837 to 2092 computations (45.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
0.0b	(-.f64 4 (*.f64 a 12))
0.4b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
1.4b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))

rewrite207.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498` `-un-lft-identity_binary64_2465` `associate-r*_binary64_2405`
4×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407`
3×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`
2×	`unswap-sqr_binary64_2433` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-l_binary64_2406` `*-commutative_binary64_2396` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-+l+_binary64_2398`
1×	`diff-log_binary64_2557` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 73

Calls

4 calls:

13.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
11.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
8.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
3.0ms	(-.f64 4 (*.f64 a 12))

Compiler

Compiled 3371 to 2170 computations (35.6% saved)

series1.0s (11%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

477.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
287.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
160.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
49.0ms	(-.f64 4 (*.f64 a 12))

Compiler

Compiled 3647 to 2820 computations (22.7% saved)

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

482×	`unswap-sqr_binary64_2433`
324×	`associate-l_binary64_2406`
275×	`associate-r_binary64_2405`
252×	`exp-prod_binary64_2517`
193×	`sub-neg_binary64_2458`
184×	`cancel-sign-sub-inv_binary64_2431`
174×	`associate-+l+_binary64_2398`
165×	`associate-+r+_binary64_2397`
162×	`sqr-pow_binary64_2437`
149×	`*-commutative_binary64_2396`
141×	`distribute-rgt-neg-in_binary64_2423`
127×	`+-commutative_binary64_2395`
125×	`distribute-lft-out_binary64_2416`
122×	`distribute-rgt-out_binary64_2418`
118×	`neg-sub0_binary64_2460`
117×	`neg-mul-1_binary64_2461`
116×	`distribute-lft-neg-in_binary64_2422`
97×	`distribute-rgt-in_binary64_2415`
91×	`distribute-lft-in_binary64_2414`
85×	`unsub-neg_binary64_2459`
82×	`exp-sum_binary64_2511`
71×	`cube-prod_binary64_2493`
56×	`associate--r+_binary64_2401`
48×	`log-prod_binary64_2551`
36×	`distribute-neg-in_binary64_2426`
34×	`distribute-lft-neg-out_binary64_2424`
30×	`swap-sqr_binary64_2432`
29×	`associate--l+_binary64_2402`
26×	`*-lft-identity_binary64_2454` `pow-sqr_binary64_2438` `distribute-lft-out--_binary64_2417`
25×	`distribute-rgt-out--_binary64_2419`
24×	`*-rgt-identity_binary64_2455`
23×	`difference-of-squares_binary64_2434`
22×	`unpow3_binary64_2531`
19×	`distribute-rgt-neg-out_binary64_2425`
16×	`cube-mult_binary64_2495`
12×	`associate-+l-_binary64_2400` `associate-+r-_binary64_2399`
11×	`pow-plus_binary64_2528`
9×	`exp-diff_binary64_2513` `+-rgt-identity_binary64_2450`
8×	`sub0-neg_binary64_2452`
7×	`cube-unmult_binary64_2502`
6×	`exp-lft-sqr_binary64_2520`
5×	`div-sub_binary64_2470`
4×	`log-pow_binary64_2554` `unpow1/2_binary64_2529`
2×	`unpow2_binary64_2530` `unpow1_binary64_2523` `prod-exp_binary64_2514` `exp-neg_binary64_2512` `rem-sqrt-square_binary64_2478` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413`
1×	`div-exp_binary64_2516` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `associate-/r*_binary64_2409`
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-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-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` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `-inverses_binary64_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` `associate-/l/_binary64_2412` `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

115 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2468
1	483	2207
2	1813	2180
3	3838	2180
4	5492	2180

prune171.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Error

0.0b

Counts

90 → 4

Compiler

Compiled 3469 to 2238 computations (35.5% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
21.6b	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
21.6b	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
21.6b	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

rewrite237.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_2496`
9×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-sqr-sqrt_binary64_2487`
8×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`cbrt-div_binary64_2497` `cube-mult_binary64_2495`
4×	`add-log-exp_binary64_2504`
3×	`pow1/3_binary64_2547` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-rgt1-in_binary64_2421` `unpow3_binary64_2531` `distribute-rgt-out_binary64_2418` `distribute-lft-out_binary64_2416` `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	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

Compiler

Compiled 4283 to 2365 computations (44.8% saved)

series522.0ms (5.5%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

157.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
97.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
94.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
89.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

Compiler

Compiled 4339 to 2858 computations (34.1% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

531×	`associate-+l+_binary64_2398`
291×	`unswap-sqr_binary64_2433`
264×	`*-commutative_binary64_2396`
241×	`cancel-sign-sub-inv_binary64_2431`
172×	`distribute-rgt-neg-in_binary64_2423`
158×	`distribute-lft-neg-in_binary64_2422`
149×	`distribute-rgt-out_binary64_2418`
145×	`distribute-rgt-in_binary64_2415`
136×	`distribute-lft-in_binary64_2414`
133×	`associate-l_binary64_2406`
121×	`difference-of-squares_binary64_2434`
119×	`sub-neg_binary64_2458`
111×	`associate-r_binary64_2405`
109×	`distribute-lft-neg-out_binary64_2424`
97×	`distribute-rgt-neg-out_binary64_2425`
95×	`sqr-pow_binary64_2437`
90×	`associate-+l-_binary64_2400`
73×	`exp-prod_binary64_2517` `neg-sub0_binary64_2460`
72×	`neg-mul-1_binary64_2461`
67×	`unsub-neg_binary64_2459`
65×	`+-commutative_binary64_2395`
52×	`distribute-rgt-out--_binary64_2419`
47×	`associate-+r-_binary64_2399`
39×	`distribute-lft-out_binary64_2416`
35×	`associate-/r*_binary64_2409`
33×	`associate--l+_binary64_2402`
28×	`distribute-rgt1-in_binary64_2421` `associate--r+_binary64_2401`
25×	`log-prod_binary64_2551` `*-lft-identity_binary64_2454` `associate-+r+_binary64_2397`
22×	`exp-sum_binary64_2511`
21×	`cube-prod_binary64_2493` `*-rgt-identity_binary64_2455`
17×	`associate-/l*_binary64_2410`
16×	`+-rgt-identity_binary64_2450` `swap-sqr_binary64_2432`
15×	`pow-sqr_binary64_2438`
14×	`distribute-lft1-in_binary64_2420`
13×	`associate-*r/_binary64_2407`
12×	`pow-plus_binary64_2528` `exp-diff_binary64_2513` `sub0-neg_binary64_2452` `distribute-lft-out--_binary64_2417`
9×	`unpow3_binary64_2531`
8×	`cube-unmult_binary64_2502` `div-sub_binary64_2470` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `associate-/l/_binary64_2412` `associate-*l/_binary64_2408`
7×	`distribute-neg-in_binary64_2426`
6×	`exp-lft-cube_binary64_2521`
5×	`unpow1/3_binary64_2532` `cube-mult_binary64_2495`
4×	`log-pow_binary64_2554` `times-frac_binary64_2471` `distribute-neg-frac_binary64_2429` `count-2_binary64_2413`
3×	`unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `rem-sqrt-square_binary64_2478`
2×	`log-div_binary64_2552` `unpow2_binary64_2530` `unpow1_binary64_2523` `exp-neg_binary64_2512` `difference-of-sqr-1_binary64_2435` `distribute-neg-out_binary64_2427`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-exp-log_binary64_2505` `rem-3cbrt-lft_binary64_2490` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457` `remove-double-neg_binary64_2453` `difference-of-sqr--1_binary64_2436`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-rec_binary64_2553` `pow-base-0_binary64_2549` `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` `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` `rem-square-sqrt_binary64_2477` `/-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` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `associate-/r/_binary64_2411` `associate--r-_binary64_2404` `associate--l-_binary64_2403`

Counts

109 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1890
1	352	1782
2	991	1770
3	2140	1743
4	5097	1743

prune156.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Error

0.0b

Counts

65 → 4

Compiler

Compiled 3391 to 1920 computations (43.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
0.4b	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
8.3b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
8.3b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))

rewrite292.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_2526`
14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
12×	`add-sqr-sqrt_binary64_2487`
8×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`sqrt-prod_binary64_2481` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `sqrt-div_binary64_2482` `associate-*l/_binary64_2408`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `flip3-+_binary64_2468` `flip-+_binary64_2439` `rem-sqrt-square_binary64_2478` `unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
8.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))

Compiler

Compiled 5764 to 3126 computations (45.8% saved)

series1.5s (16%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

494.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
484.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
187.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
177.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))

Compiler

Compiled 9306 to 6391 computations (31.3% saved)

simplify111.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

589×	`distribute-rgt-in_binary64_2415`
567×	`distribute-lft-in_binary64_2414`
256×	`cancel-sign-sub-inv_binary64_2431`
243×	`times-frac_binary64_2471`
149×	`distribute-rgt-neg-in_binary64_2423`
144×	`associate-r_binary64_2405`
134×	`distribute-lft-neg-in_binary64_2422`
129×	`associate-l_binary64_2406`
97×	`*-commutative_binary64_2396`
92×	`sub-neg_binary64_2458`
91×	`+-commutative_binary64_2395`
89×	`distribute-neg-in_binary64_2426`
82×	`associate-+r+_binary64_2397`
65×	`associate-+l+_binary64_2398`
55×	`distribute-rgt-out_binary64_2418`
47×	`unswap-sqr_binary64_2433` `associate-/r*_binary64_2409`
45×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
42×	`sqr-pow_binary64_2437`
40×	`associate--l+_binary64_2402`
24×	`distribute-lft-neg-out_binary64_2424`
23×	`unsub-neg_binary64_2459` `associate--r+_binary64_2401`
19×	`distribute-lft-out_binary64_2416`
18×	`associate-/l*_binary64_2410`
17×	`distribute-rgt-out--_binary64_2419`
12×	`exp-prod_binary64_2517` `cube-prod_binary64_2493` `distribute-rgt-neg-out_binary64_2425`
10×	`swap-sqr_binary64_2432` `associate-*r/_binary64_2407`
9×	`exp-sum_binary64_2511`
8×	`associate-*l/_binary64_2408`
7×	`log-prod_binary64_2551` `unpow3_binary64_2531`
6×	`cube-mult_binary64_2495` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `distribute-neg-frac_binary64_2429` `distribute-lft-out--_binary64_2417`
5×	`cube-unmult_binary64_2502`
4×	`pow-plus_binary64_2528` `distribute-rgt1-in_binary64_2421`
3×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `exp-diff_binary64_2513` `pow-sqr_binary64_2438`
2×	`exp-lft-cube_binary64_2521` `rem-sqrt-square_binary64_2478`
1×	`log-pow_binary64_2554` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-square-sqrt_binary64_2477` `difference-of-squares_binary64_2434` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`
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` `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` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_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-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate--r-_binary64_2404` `associate--l-_binary64_2403`

Counts

128 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	4700
1	513	4278
2	1839	4156
3	5153	4156

prune404.0ms (4.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	114	4	118

Error

0.0b

Counts

118 → 4

Compiler

Compiled 7884 to 4361 computations (44.7% saved)

regimes609.0ms (6.4%)

Accuracy

Total 0.0b remaining (64.9%)

Threshold costs 0.0b (64.9%)

Compiler

Compiled 8810 to 6105 computations (30.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64_2396` `+-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`
3×	`unsub-neg_binary64_2459` `*-lft-identity_binary64_2454` `distribute-lft-neg-in_binary64_2422`
2×	`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	23	52
1	42	52
2	54	52
3	62	52
4	79	52
5	80	52
6	81	52
7	77	52

end0.0ms (0%)

sample1.8s (19.3%)

Algorithm

1×

intervals

Results

505.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 1559 to 1093 computations (29.9% saved)

Details

analyze344.0ms (3.6%)

sample26.0ms (0.3%)

simplify66.0ms (0.7%)

prune4.0ms (0%)

localize17.0ms (0.2%)

rewrite192.0ms (2%)

series1.2s (12.4%)

simplify90.0ms (1%)

prune207.0ms (2.2%)

localize21.0ms (0.2%)

rewrite207.0ms (2.2%)

series1.0s (11%)

simplify108.0ms (1.1%)

prune171.0ms (1.8%)

localize22.0ms (0.2%)

rewrite237.0ms (2.5%)

series522.0ms (5.5%)

simplify86.0ms (0.9%)

prune156.0ms (1.6%)

localize20.0ms (0.2%)

rewrite292.0ms (3.1%)

series1.5s (16%)

simplify111.0ms (1.2%)

prune404.0ms (4.2%)

regimes609.0ms (6.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.8s (19.3%)

Profiling