Details

analyze288.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

770×	`unswap-sqr_binary64_2433`
633×	`associate-l_binary64_2406`
432×	`sub-neg_binary64_2458`
416×	`associate-+l+_binary64_2398`
342×	`associate-+r+_binary64_2397`
284×	`unsub-neg_binary64_2459`
255×	`+-commutative_binary64_2395`
241×	`cancel-sign-sub-inv_binary64_2431`
211×	`distribute-rgt-neg-in_binary64_2423`
196×	`associate--l+_binary64_2402`
188×	`distribute-rgt-in_binary64_2415`
181×	`*-commutative_binary64_2396`
178×	`distribute-lft-neg-in_binary64_2422`
163×	`associate-+l-_binary64_2400`
151×	`neg-sub0_binary64_2460`
150×	`distribute-lft-in_binary64_2414`
147×	`neg-mul-1_binary64_2461`
114×	`distribute-lft-out_binary64_2416`
113×	`distribute-neg-in_binary64_2426`
108×	`associate--r+_binary64_2401`
105×	`associate-r_binary64_2405`
69×	`distribute-rgt-out_binary64_2418`
52×	`associate--r-_binary64_2404` `associate-+r-_binary64_2399`
33×	`distribute-lft-neg-out_binary64_2424`
30×	`sqr-pow_binary64_2437`
22×	`cube-prod_binary64_2493`
19×	`pow-plus_binary64_2528`
18×	`remove-double-neg_binary64_2453`
14×	`difference-of-sqr--1_binary64_2436`
12×	`cube-unmult_binary64_2502` `associate--l-_binary64_2403`
11×	`*-rgt-identity_binary64_2455`
10×	`rem-sqrt-square_binary64_2478` `*-lft-identity_binary64_2454`
7×	`unpow3_binary64_2531` `mul-1-neg_binary64_2457`
6×	`unpow2_binary64_2530` `difference-of-sqr-1_binary64_2435`
4×	`distribute-rgt-neg-out_binary64_2425`
3×	`sqr-neg_binary64_2479` `sub0-neg_binary64_2452` `pow-sqr_binary64_2438`
2×	`unpow1_binary64_2523` `cube-neg_binary64_2492` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450`
1×	`unpow1/2_binary64_2529` `1-exp_binary64_2509` `cube-mult_binary64_2495` `count-2_binary64_2413`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-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-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` `times-frac_binary64_2471` `div-sub_binary64_2470` `/-rgt-identity_binary64_2456` `+-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-squares_binary64_2434` `swap-sqr_binary64_2432` `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` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-*r/_binary64_2407`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	39	50
2	67	50
3	181	50
4	494	50
5	1458	50
6	3377	50
7	4994	50
8	4815	50
9	5092	50
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%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample20.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

785×	`distribute-rgt-neg-in_binary64_2423`
770×	`unswap-sqr_binary64_2433`
631×	`associate-l_binary64_2406`
289×	`sub-neg_binary64_2458`
232×	`associate-+l+_binary64_2398`
216×	`cancel-sign-sub-inv_binary64_2431`
209×	`distribute-neg-in_binary64_2426`
200×	`associate-+r+_binary64_2397`
176×	`distribute-rgt-in_binary64_2415`
175×	`distribute-lft-neg-in_binary64_2422`
162×	`+-commutative_binary64_2395`
161×	`*-commutative_binary64_2396`
150×	`distribute-lft-in_binary64_2414`
115×	`associate--l+_binary64_2402`
104×	`associate-r_binary64_2405`
99×	`neg-sub0_binary64_2460`
98×	`neg-mul-1_binary64_2461`
96×	`associate-+l-_binary64_2400`
69×	`associate--r+_binary64_2401`
66×	`distribute-lft-out_binary64_2416`
65×	`unsub-neg_binary64_2459`
51×	`distribute-rgt-out_binary64_2418`
40×	`distribute-lft-neg-out_binary64_2424`
34×	`associate--r-_binary64_2404`
31×	`distribute-rgt-neg-out_binary64_2425`
29×	`sqr-pow_binary64_2437`
28×	`associate-+r-_binary64_2399`
19×	`cancel-sign-sub_binary64_2430`
17×	`remove-double-neg_binary64_2453` `swap-sqr_binary64_2432`
14×	`difference-of-sqr--1_binary64_2436`
13×	`pow-plus_binary64_2528`
12×	`associate--l-_binary64_2403`
11×	`*-rgt-identity_binary64_2455`
10×	`*-lft-identity_binary64_2454`
8×	`cube-unmult_binary64_2502`
7×	`cube-prod_binary64_2493` `mul-1-neg_binary64_2457`
6×	`difference-of-sqr-1_binary64_2435`
4×	`distribute-neg-out_binary64_2427`
3×	`pow-sqr_binary64_2438`
2×	`unpow2_binary64_2530` `sub0-neg_binary64_2452`
1×	`unpow3_binary64_2531` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `1-exp_binary64_2509` `rem-sqrt-square_binary64_2478` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `count-2_binary64_2413`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-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` `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-squares_binary64_2434` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-*r/_binary64_2407`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	29	25
2	50	25
3	138	25
4	374	25
5	1115	25
6	2833	25
7	5126	25

prune3.0ms (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 34 to 24 computations (29.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite103.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
9×	`add-cbrt-cube_binary64_2501`
8×	`add-sqr-sqrt_binary64_2487` `add-log-exp_binary64_2504`
7×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406`
2×	`sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `unswap-sqr_binary64_2433` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

4 → 59

Calls

4 calls:

12.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 1523 to 667 computations (56.2% saved)

series1.1s (12.7%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

524.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
291.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
141.0ms	(+.f64 (.f64 a a) (.f64 b b))
34.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify139.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-l_binary64_2406`
585×	`associate-r_binary64_2405`
409×	`distribute-rgt-neg-in_binary64_2423`
242×	`distribute-rgt-in_binary64_2415`
217×	`distribute-lft-in_binary64_2414`
185×	`*-commutative_binary64_2396`
181×	`exp-prod_binary64_2517`
141×	`unswap-sqr_binary64_2433`
125×	`cancel-sign-sub-inv_binary64_2431`
115×	`sqr-pow_binary64_2437`
113×	`log-prod_binary64_2551`
94×	`sub-neg_binary64_2458`
76×	`associate-+l+_binary64_2398`
74×	`distribute-lft-neg-in_binary64_2422`
71×	`distribute-neg-in_binary64_2426`
65×	`distribute-rgt-out_binary64_2418`
57×	`distribute-lft-neg-out_binary64_2424`
56×	`swap-sqr_binary64_2432`
55×	`associate-+r+_binary64_2397`
52×	`difference-of-squares_binary64_2434` `+-commutative_binary64_2395`
51×	`unpow3_binary64_2531`
49×	`neg-sub0_binary64_2460`
47×	`cube-prod_binary64_2493`
45×	`neg-mul-1_binary64_2461`
42×	`log-pow_binary64_2554`
37×	`distribute-rgt-neg-out_binary64_2425`
36×	`exp-sum_binary64_2511`
30×	`pow-sqr_binary64_2438`
26×	`unsub-neg_binary64_2459`
23×	`distribute-rgt-out--_binary64_2419` `distribute-lft-out_binary64_2416`
19×	`cube-unmult_binary64_2502`
18×	`pow-plus_binary64_2528`
15×	`rem-sqrt-square_binary64_2478` `associate--r+_binary64_2401`
14×	`associate-+r-_binary64_2399`
12×	`+-rgt-identity_binary64_2450`
10×	`associate--l+_binary64_2402` `associate-+l-_binary64_2400`
8×	`unpow2_binary64_2530`
6×	`unpow1/2_binary64_2529` `unpow1_binary64_2523` `sub0-neg_binary64_2452`
5×	`cube-mult_binary64_2495` `distribute-lft-out--_binary64_2417`
4×	`prod-exp_binary64_2514` `associate-/l*_binary64_2410`
3×	`associate-/l/_binary64_2412` `associate-*r/_binary64_2407`
1×	`1-exp_binary64_2509` `rem-3cbrt-rft_binary64_2491` `rem-square-sqrt_binary64_2477` `*-rgt-identity_binary64_2455` `count-2_binary64_2413` `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-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-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` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-lft-identity_binary64_2454` `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` `distribute-lft1-in_binary64_2420` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate--r-_binary64_2404` `associate--l-_binary64_2403`

Counts

110 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1780
1	301	1636
2	857	1630
3	3568	1630
4	4900	1630
5	4973	1630
6	4905	1630

prune84.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Error

0.0b

Counts

74 → 2

Compiler

Compiled 1539 to 739 computations (52% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
2.2b	(.f64 (.f64 a a) (*.f64 b b))

rewrite198.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`pow1_binary64_2526`
21×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
18×	`add-log-exp_binary64_2504`
17×	`pow-prod-down_binary64_2536`
11×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
9×	`sum-log_binary64_2556`
6×	`add-sqr-sqrt_binary64_2487`
5×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`pow-prod-up_binary64_2535` `pow-plus_binary64_2528` `associate-l_binary64_2406`
2×	`pow2_binary64_2546` `pow-sqr_binary64_2438` `unswap-sqr_binary64_2433` `associate-r_binary64_2405` `*-commutative_binary64_2396` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`
1×	`associate-+l+_binary64_2398` `associate-+r+_binary64_2397`

Counts

4 → 75

Calls

4 calls:

26.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
20.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
10.0ms	(.f64 (.f64 a a) (*.f64 b b))
6.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2592 to 1394 computations (46.2% saved)

series1.2s (14.5%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

531.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
467.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
109.0ms	(.f64 (.f64 a a) (*.f64 b b))
36.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2259 to 1840 computations (18.5% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

786×	`distribute-rgt-in_binary64_2415`
731×	`distribute-lft-in_binary64_2414`
268×	`cancel-sign-sub-inv_binary64_2431`
188×	`associate-l_binary64_2406`
174×	`associate-r_binary64_2405`
133×	`distribute-rgt-neg-in_binary64_2423`
117×	`distribute-lft-neg-in_binary64_2422`
103×	`unswap-sqr_binary64_2433`
102×	`exp-prod_binary64_2517`
85×	`*-commutative_binary64_2396`
82×	`distribute-rgt-out_binary64_2418`
56×	`sqr-pow_binary64_2437`
45×	`sub-neg_binary64_2458`
42×	`+-commutative_binary64_2395`
41×	`distribute-rgt-out--_binary64_2419`
36×	`cube-prod_binary64_2493`
34×	`distribute-neg-in_binary64_2426`
32×	`log-prod_binary64_2551` `associate-+l+_binary64_2398`
30×	`swap-sqr_binary64_2432`
29×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
27×	`distribute-lft-out_binary64_2416`
26×	`associate-+r+_binary64_2397`
24×	`prod-exp_binary64_2514`
23×	`exp-sum_binary64_2511`
22×	`distribute-lft-neg-out_binary64_2424`
21×	`unpow3_binary64_2531`
13×	`unsub-neg_binary64_2459`
12×	`associate--l+_binary64_2402` `associate--r+_binary64_2401`
11×	`pow-plus_binary64_2528`
8×	`cube-mult_binary64_2495` `pow-sqr_binary64_2438` `distribute-lft-out--_binary64_2417`
6×	`distribute-rgt-neg-out_binary64_2425`
4×	`log-pow_binary64_2554`
3×	`unpow2_binary64_2530` `unpow1_binary64_2523` `exp-lft-sqr_binary64_2520` `cube-unmult_binary64_2502`
2×	`unpow1/2_binary64_2529` `difference-of-squares_binary64_2434` `count-2_binary64_2413` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`
1×	`1-exp_binary64_2509` `rem-sqrt-square_binary64_2478`
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` `div-exp_binary64_2516` `rec-exp_binary64_2515` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `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` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-*r/_binary64_2407` `associate--r-_binary64_2404` `associate--l-_binary64_2403`

Counts

120 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	2404
1	341	2147
2	1384	2047
3	4884	2041
4	4972	2041

prune109.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Error

0.0b

Counts

81 → 3

Compiler

Compiled 2162 to 1228 computations (43.2% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) 3)
0.2b	(pow.f64 (*.f64 a b) 4)
2.2b	(.f64 (.f64 a a) (*.f64 b b))
47.5b	(/.f64 (+.f64 (.f64 (pow.f64 (.f64 a b) 6) 8) (pow.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) 3)) (+.f64 (.f64 4 (pow.f64 (.f64 a b) 4)) (.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (-.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 2 (.f64 (.f64 a a) (*.f64 b b)))))))

rewrite545.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`pow1_binary64_2526`
24×	`*-un-lft-identity_binary64_2465`
22×	`add-exp-log_binary64_2503`
19×	`add-cbrt-cube_binary64_2501`
16×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
15×	`pow-prod-down_binary64_2536`
10×	`unpow-prod-down_binary64_2544`
9×	`times-frac_binary64_2471` `prod-exp_binary64_2514`
8×	`cbrt-unprod_binary64_2498`
6×	`pow-unpow_binary64_2542`
5×	`cube-prod_binary64_2493`
4×	`add-log-exp_binary64_2504` `pow-prod-up_binary64_2535` `pow-plus_binary64_2528` `distribute-lft-out_binary64_2416`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `pow-pow_binary64_2537` `pow-exp_binary64_2533`
2×	`associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `pow2_binary64_2546` `pow-sqr_binary64_2438` `pow-to-exp_binary64_2534` `sqr-pow_binary64_2437` `cube-div_binary64_2494`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `unswap-sqr_binary64_2433` `associate-l_binary64_2406` `associate-r_binary64_2405` `*-commutative_binary64_2396` `unpow3_binary64_2531` `cube-mult_binary64_2495` `rem-cube-cbrt_binary64_2488`

Counts

4 → 106

Calls

4 calls:

21.0ms	(/.f64 (+.f64 (.f64 (pow.f64 (.f64 a b) 6) 8) (pow.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) 3)) (+.f64 (.f64 4 (pow.f64 (.f64 a b) 4)) (.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (-.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 2 (.f64 (.f64 a a) (*.f64 b b)))))))
11.0ms	(pow.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) 3)
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
4.0ms	(pow.f64 (*.f64 a b) 4)

Compiler

Compiled 8095 to 5186 computations (35.9% saved)

series2.0s (24.2%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

1.5s	(/.f64 (+.f64 (.f64 (pow.f64 (.f64 a b) 6) 8) (pow.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) 3)) (+.f64 (.f64 4 (pow.f64 (.f64 a b) 4)) (.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (-.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 2 (.f64 (.f64 a a) (*.f64 b b)))))))
153.0ms	(pow.f64 (*.f64 a b) 4)
137.0ms	(.f64 (.f64 a a) (*.f64 b b))
123.0ms	(pow.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) 3)

Compiler

Compiled 4008 to 2958 computations (26.2% saved)

simplify152.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

566×	`unswap-sqr_binary64_2433`
357×	`cancel-sign-sub-inv_binary64_2431`
303×	`log-prod_binary64_2551`
253×	`associate-l_binary64_2406`
241×	`distribute-rgt-neg-in_binary64_2423`
228×	`associate-r_binary64_2405`
227×	`distribute-lft-neg-in_binary64_2422`
114×	`swap-sqr_binary64_2432`
112×	`cube-prod_binary64_2493`
107×	`sqr-pow_binary64_2437`
103×	`exp-prod_binary64_2517`
83×	`distribute-rgt-in_binary64_2415`
71×	`distribute-lft-in_binary64_2414`
69×	`*-commutative_binary64_2396`
65×	`distribute-rgt-out_binary64_2418`
39×	`log-pow_binary64_2554` `distribute-neg-in_binary64_2426`
36×	`sub-neg_binary64_2458`
33×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `+-commutative_binary64_2395`
25×	`distribute-lft-neg-out_binary64_2424`
23×	`times-frac_binary64_2471` `distribute-rgt-out--_binary64_2419`
22×	`pow-plus_binary64_2528` `pow-sqr_binary64_2438`
21×	`unpow3_binary64_2531`
18×	`cube-mult_binary64_2495` `associate-/l*_binary64_2410`
17×	`associate-/l/_binary64_2412`
14×	`associate-*l/_binary64_2408`
13×	`cube-unmult_binary64_2502`
12×	`rem-sqrt-square_binary64_2478`
10×	`exp-sum_binary64_2511` `difference-of-squares_binary64_2434` `distribute-rgt-neg-out_binary64_2425` `associate-*r/_binary64_2407`
9×	`associate-/r*_binary64_2409` `associate-+l+_binary64_2398`
7×	`associate-/r/_binary64_2411`
6×	`*-rgt-identity_binary64_2455` `associate-+r+_binary64_2397`
4×	`unpow1/2_binary64_2529` `unpow1_binary64_2523` `/-rgt-identity_binary64_2456`
3×	`log-div_binary64_2552` `unpow2_binary64_2530` `unsub-neg_binary64_2459`
2×	`div-sub_binary64_2470` `count-2_binary64_2413` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`
1×	`1-exp_binary64_2509` `cube-div_binary64_2494` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `rem-square-sqrt_binary64_2477` `*-lft-identity_binary64_2454` `distribute-neg-frac_binary64_2429`
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` `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` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_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` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `associate--r-_binary64_2404` `associate--l-_binary64_2403`

Counts

142 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	4763
1	495	4321
2	1933	4309
3	4677	4309
4	4952	4309

prune447.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Error

0.0b

Counts

118 → 3

Compiler

Compiled 7491 to 5008 computations (33.1% saved)

regimes443.0ms (5.4%)

Accuracy

Total 0.0b remaining (62.9%)

Threshold costs 0.0b (62.9%)

Compiler

Compiled 5792 to 3951 computations (31.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_2395`
4×	`*-commutative_binary64_2396`
2×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `sub-neg_binary64_2458` `*-rgt-identity_binary64_2455`
1×	`1-exp_binary64_2509` `unsub-neg_binary64_2459` `distribute-rgt-neg-out_binary64_2425`
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` `*-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-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	27	37
2	31	37
3	33	37
4	36	37
5	35	37
6	33	37

end0.0ms (0%)

sample1.3s (15.6%)

Algorithm

1×

intervals

Results

346.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 882 to 608 computations (31.1% saved)

Details

analyze288.0ms (3.5%)

sample20.0ms (0.2%)

simplify40.0ms (0.5%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite103.0ms (1.2%)

series1.1s (12.7%)

simplify139.0ms (1.7%)

prune84.0ms (1%)

localize14.0ms (0.2%)

rewrite198.0ms (2.4%)

series1.2s (14.5%)

simplify99.0ms (1.2%)

prune109.0ms (1.3%)

localize26.0ms (0.3%)

rewrite545.0ms (6.6%)

series2.0s (24.2%)

simplify152.0ms (1.8%)

prune447.0ms (5.4%)

regimes443.0ms (5.4%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.3s (15.6%)

Profiling