Details

analyze2.7s (12.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample202.0ms (0.9%)

Algorithm

1×

intervals

Results

141.0ms	166×	body	1024	valid
29.0ms	46×	body	512	valid
8.0ms	3×	body	2048	valid
4.0ms	29×	body	128	valid
4.0ms	12×	body	256	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify118.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

83×	`cancel-sign-sub-inv_binary64_2431`
59×	`distribute-rgt-neg-in_binary64_2423`
56×	`sub-neg_binary64_2458`
47×	`distribute-rgt-in_binary64_2415`
42×	`unsub-neg_binary64_2459`
41×	`neg-mul-1_binary64_2461`
35×	`neg-sub0_binary64_2460`
34×	`distribute-lft-neg-in_binary64_2422` `distribute-lft-in_binary64_2414`
28×	`distribute-lft-neg-out_binary64_2424` `associate--r+_binary64_2401`
25×	`associate-r_binary64_2405`
23×	`*-commutative_binary64_2396`
21×	`+-commutative_binary64_2395`
18×	`+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `distribute-neg-in_binary64_2426` `distribute-rgt-neg-out_binary64_2425`
16×	`associate-+l-_binary64_2400`
14×	`sub0-neg_binary64_2452`
13×	`associate-l_binary64_2406`
12×	`remove-double-neg_binary64_2453`
10×	`*-lft-identity_binary64_2454`
8×	`--rgt-identity_binary64_2451` `associate--r-_binary64_2404`
6×	`associate-+l+_binary64_2398`
4×	`*-rgt-identity_binary64_2455`
3×	`sin-neg_binary64_2595`
2×	`cos-neg_binary64_2596` `+-rgt-identity_binary64_2450` `associate--l+_binary64_2402` `associate-+r-_binary64_2399` `associate-+r+_binary64_2397`
1×	`1-exp_binary64_2509` `cancel-sign-sub_binary64_2430`
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` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `log-div_binary64_2552` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `pow-plus_binary64_2528` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `exp-prod_binary64_2517` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-unmult_binary64_2502` `cube-mult_binary64_2495` `cube-div_binary64_2494` `cube-prod_binary64_2493` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `div0_binary64_2446` `-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `pow-sqr_binary64_2438` `sqr-pow_binary64_2437` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `unswap-sqr_binary64_2433` `swap-sqr_binary64_2432` `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-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `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	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

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

11.6b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.0b	(cos.f64 (-.f64 lambda1 lambda2))
4.0b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite112.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

11×	`add-sqr-sqrt_binary64_2487` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`cancel-sign-sub-inv_binary64_2431` `associate-r_binary64_2405`
4×	`sin-sum_binary64_2598` `add-log-exp_binary64_2504` `cos-sum_binary64_2599` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406`
3×	`cos-diff_binary64_2602`
2×	`sub-neg_binary64_2458` `*-commutative_binary64_2396`
1×	`sin-diff_binary64_2601` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `sin-cos-mult_binary64_2621` `associate-*l/_binary64_2408` `unswap-sqr_binary64_2433`

Counts

4 → 63

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2012 to 363 computations (82% saved)

series651.0ms (3%)

Error

7.8b

Counts

4 → 55

Calls

4 calls:

365.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
106.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
58.0ms	(sin.f64 (-.f64 lambda1 lambda2))
52.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4115 to 1962 computations (52.3% saved)

simplify137.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

576×	`cancel-sign-sub-inv_binary64_2431`
417×	`sub-neg_binary64_2458`
376×	`neg-mul-1_binary64_2461`
349×	`distribute-rgt-neg-in_binary64_2423`
347×	`associate-r_binary64_2405`
345×	`neg-sub0_binary64_2460`
334×	`associate-l_binary64_2406`
312×	`distribute-lft-neg-in_binary64_2422`
214×	`*-commutative_binary64_2396`
185×	`unsub-neg_binary64_2459`
115×	`+-commutative_binary64_2395`
109×	`sqr-pow_binary64_2437`
79×	`distribute-lft-neg-out_binary64_2424`
72×	`associate-+l-_binary64_2400`
68×	`unswap-sqr_binary64_2433`
67×	`associate--l+_binary64_2402`
66×	`distribute-rgt-out--_binary64_2419`
62×	`distribute-rgt-out_binary64_2418` `associate-+r-_binary64_2399`
58×	`distribute-rgt-neg-out_binary64_2425`
53×	`associate-+l+_binary64_2398`
44×	`cancel-sign-sub_binary64_2430`
42×	`cube-prod_binary64_2493` `associate-+r+_binary64_2397`
41×	`associate--r+_binary64_2401`
38×	`+-rgt-identity_binary64_2450`
37×	`exp-prod_binary64_2517` `sub0-neg_binary64_2452`
34×	`swap-sqr_binary64_2432`
33×	`log-prod_binary64_2551` `*-rgt-identity_binary64_2455`
28×	`remove-double-neg_binary64_2453`
27×	`*-lft-identity_binary64_2454`
22×	`cube-unmult_binary64_2502` `distribute-lft-out--_binary64_2417`
21×	`distribute-neg-in_binary64_2426`
19×	`distribute-rgt-in_binary64_2415`
17×	`unpow3_binary64_2531` `pow-sqr_binary64_2438`
11×	`rem-sqrt-square_binary64_2478`
9×	`unpow1/2_binary64_2529`
8×	`pow-plus_binary64_2528` `distribute-neg-out_binary64_2427`
7×	`distribute-rgt1-in_binary64_2421` `associate--l-_binary64_2403`
6×	`sin-neg_binary64_2595` `cube-mult_binary64_2495` `difference-of-squares_binary64_2434`
5×	`cos-neg_binary64_2596` `distribute-lft-out_binary64_2416` `distribute-lft-in_binary64_2414`
4×	`unpow2_binary64_2530` `unpow1_binary64_2523`
3×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
2×	`exp-sum_binary64_2511`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `cube-neg_binary64_2492` `rem-3cbrt-lft_binary64_2490` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477`
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` `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` `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-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `times-frac_binary64_2471` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `div0_binary64_2446` `-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-lft1-in_binary64_2420` `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--r-_binary64_2404`

Counts

118 → 171

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	264	2238
1	686	1979
2	2084	1867
3	3784	1867
4	4705	1863
5	4972	1863

prune257.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	152	19	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	19	172

Error

5.3b

Counts

172 → 19

Compiler

Compiled 6609 to 1549 computations (76.6% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite137.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_2487`
13×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`associate-r_binary64_2405`
7×	`associate-l_binary64_2406`
5×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`cos-sum_binary64_2599` `add-log-exp_binary64_2504`
3×	`cos-diff_binary64_2602` `cancel-sign-sub-inv_binary64_2431` `associate-l/_binary64_2408` `-commutative_binary64_2396`
2×	`unswap-sqr_binary64_2433`
1×	`sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `sin-cos-mult_binary64_2621` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

4 → 71

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2860 to 385 computations (86.5% saved)

series989.0ms (4.5%)

Error

5.0b

Counts

4 → 57

Calls

4 calls:

375.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
363.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
112.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
63.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5377 to 2610 computations (51.5% saved)

simplify159.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

643×	`cancel-sign-sub-inv_binary64_2431`
435×	`associate-r_binary64_2405`
420×	`associate-l_binary64_2406`
361×	`distribute-rgt-neg-in_binary64_2423`
319×	`distribute-lft-neg-in_binary64_2422`
301×	`neg-mul-1_binary64_2461`
300×	`neg-sub0_binary64_2460`
261×	`*-commutative_binary64_2396`
143×	`sub-neg_binary64_2458`
138×	`distribute-rgt-in_binary64_2415`
86×	`+-commutative_binary64_2395`
76×	`sqr-pow_binary64_2437`
74×	`exp-prod_binary64_2517` `distribute-rgt-out_binary64_2418`
72×	`distribute-rgt-out--_binary64_2419`
59×	`distribute-lft-neg-out_binary64_2424`
53×	`cube-prod_binary64_2493`
48×	`associate--l+_binary64_2402`
40×	`distribute-neg-in_binary64_2426`
38×	`log-prod_binary64_2551` `unsub-neg_binary64_2459` `associate--r+_binary64_2401`
37×	`*-rgt-identity_binary64_2455`
35×	`distribute-rgt-neg-out_binary64_2425`
32×	`*-lft-identity_binary64_2454`
31×	`swap-sqr_binary64_2432`
30×	`associate-+l+_binary64_2398`
24×	`unpow3_binary64_2531`
21×	`unswap-sqr_binary64_2433` `distribute-lft-out--_binary64_2417`
19×	`associate-+r+_binary64_2397`
18×	`cube-unmult_binary64_2502`
14×	`exp-sum_binary64_2511`
13×	`distribute-lft-in_binary64_2414`
12×	`cube-mult_binary64_2495`
8×	`pow-plus_binary64_2528`
7×	`unpow1/2_binary64_2529` `remove-double-neg_binary64_2453` `distribute-lft-out_binary64_2416`
6×	`distribute-rgt1-in_binary64_2421`
5×	`exp-diff_binary64_2513` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430`
4×	`unpow2_binary64_2530` `unpow1_binary64_2523` `exp-neg_binary64_2512` `sqr-neg_binary64_2479` `rem-sqrt-square_binary64_2478`
3×	`cos-neg_binary64_2596` `sin-neg_binary64_2595` `pow-sqr_binary64_2438`
2×	`distribute-neg-out_binary64_2427` `associate-+r-_binary64_2399`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `cube-neg_binary64_2492` `rem-3cbrt-lft_binary64_2490` `rem-square-sqrt_binary64_2477` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `+-rgt-identity_binary64_2450` `distribute-lft1-in_binary64_2420` `associate--l-_binary64_2403`
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` `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` `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` `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-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `times-frac_binary64_2471` `/-rgt-identity_binary64_2456` `sub0-neg_binary64_2452` `--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` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `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--r-_binary64_2404` `associate-+l-_binary64_2400`

Counts

128 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	2969
1	832	2637
2	2681	2517
3	4488	2517
4	4996	2517
5	4962	2517

prune261.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	166	5	171
Fresh	12	6	18
Picked	1	0	1
Done	0	0	0
Total	179	11	190

Error

0.0b

Counts

190 → 11

Compiler

Compiled 7602 to 1269 computations (83.3% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

rewrite163.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
16×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
13×	`add-sqr-sqrt_binary64_2487`
10×	`associate-l_binary64_2406`
9×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
8×	`associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`
3×	`sin-mult_binary64_2620` `associate-*l/_binary64_2408`
2×	`unswap-sqr_binary64_2433` `sin-cos-mult_binary64_2621`
1×	`frac-times_binary64_2475` `associate-*r/_binary64_2407` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

4 → 85

Calls

4 calls:

9.0ms	(.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
9.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 4522 to 515 computations (88.6% saved)

series1.6s (7.1%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

483.0ms	(.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
476.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
404.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
115.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 8128 to 3335 computations (59% saved)

simplify120.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

836×	`associate-r_binary64_2405`
816×	`cancel-sign-sub-inv_binary64_2431`
683×	`associate-l_binary64_2406`
349×	`*-commutative_binary64_2396`
151×	`sub-neg_binary64_2458`
97×	`exp-prod_binary64_2517`
94×	`+-commutative_binary64_2395`
91×	`log-prod_binary64_2551`
88×	`swap-sqr_binary64_2432`
83×	`neg-sub0_binary64_2460`
82×	`neg-mul-1_binary64_2461`
76×	`sqr-pow_binary64_2437`
57×	`cube-prod_binary64_2493`
52×	`associate--l+_binary64_2402`
44×	`unswap-sqr_binary64_2433`
42×	`distribute-rgt-neg-in_binary64_2423`
41×	`associate--r+_binary64_2401`
39×	`associate-+l+_binary64_2398`
37×	`distribute-lft-neg-in_binary64_2422`
32×	`unsub-neg_binary64_2459` `associate-+r+_binary64_2397`
29×	`*-rgt-identity_binary64_2455`
26×	`*-lft-identity_binary64_2454`
21×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
18×	`distribute-neg-in_binary64_2426`
11×	`cube-unmult_binary64_2502`
10×	`unpow3_binary64_2531`
8×	`exp-sum_binary64_2511`
6×	`cube-mult_binary64_2495`
5×	`distribute-lft-neg-out_binary64_2424`
4×	`pow-sqr_binary64_2438` `difference-of-squares_binary64_2434`
3×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `distribute-rgt-out--_binary64_2419`
2×	`exp-diff_binary64_2513`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `mul-1-neg_binary64_2457` `distribute-lft1-in_binary64_2420` `distribute-rgt-out_binary64_2418`
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` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `pow-plus_binary64_2528` `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-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` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `/-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-rgt-neg-out_binary64_2425` `distribute-rgt1-in_binary64_2421` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `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--r-_binary64_2404` `associate--l-_binary64_2403` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`

Counts

148 → 173

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	341	4035
1	976	3525
2	3708	3525
3	5263	3525

prune254.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	169	4	173
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	172	12	184

Error

0.0b

Counts

184 → 12

Compiler

Compiled 10138 to 1367 computations (86.5% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda1)))
0.6b	(cbrt.f64 (sin.f64 lambda1))
0.6b	(cbrt.f64 (sin.f64 lambda1))
0.6b	(cbrt.f64 (sin.f64 lambda1))

rewrite136.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda1)))
2.0ms	(cbrt.f64 (sin.f64 lambda1))
2.0ms	(cbrt.f64 (sin.f64 lambda1))
1.0ms	(cbrt.f64 (sin.f64 lambda1))

Compiler

Compiled 4285 to 546 computations (87.3% saved)

series345.0ms (1.6%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda1)))
80.0ms	(cbrt.f64 (sin.f64 lambda1))
77.0ms	(cbrt.f64 (sin.f64 lambda1))
72.0ms	(cbrt.f64 (sin.f64 lambda1))

Compiler

Compiled 2462 to 1143 computations (53.6% saved)

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_2551`
462×	`sqr-pow_binary64_2437`
307×	`*-commutative_binary64_2396`
294×	`associate-l_binary64_2406`
293×	`associate-/l/_binary64_2412`
196×	`associate-r_binary64_2405`
188×	`exp-prod_binary64_2517`
178×	`distribute-rgt-out_binary64_2418`
164×	`cube-prod_binary64_2493`
136×	`pow-sqr_binary64_2438`
115×	`swap-sqr_binary64_2432`
112×	`unswap-sqr_binary64_2433`
104×	`associate-/l*_binary64_2410`
81×	`log-pow_binary64_2554`
78×	`distribute-rgt-neg-in_binary64_2423`
77×	`associate-+l+_binary64_2398`
69×	`associate-+r+_binary64_2397`
64×	`distribute-lft-neg-in_binary64_2422`
61×	`distribute-rgt-in_binary64_2415`
60×	`distribute-lft-out_binary64_2416`
57×	`distribute-lft-in_binary64_2414`
54×	`+-commutative_binary64_2395`
52×	`cancel-sign-sub-inv_binary64_2431`
50×	`pow-plus_binary64_2528`
45×	`count-2_binary64_2413`
43×	`rem-sqrt-square_binary64_2478`
41×	`times-frac_binary64_2471`
38×	`sub-neg_binary64_2458`
37×	`unpow3_binary64_2531` `associate-/r/_binary64_2411`
35×	`associate-*r/_binary64_2407`
32×	`cube-mult_binary64_2495` `neg-mul-1_binary64_2461`
31×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454`
30×	`neg-sub0_binary64_2460`
24×	`associate-/r*_binary64_2409`
19×	`cube-unmult_binary64_2502`
18×	`distribute-rgt1-in_binary64_2421`
17×	`log-div_binary64_2552` `cube-div_binary64_2494`
12×	`distribute-neg-in_binary64_2426`
10×	`unpow1/2_binary64_2529` `distribute-lft1-in_binary64_2420`
8×	`unpow2_binary64_2530` `associate-*l/_binary64_2408`
6×	`unpow1/3_binary64_2532` `distribute-lft-neg-out_binary64_2424` `associate--r+_binary64_2401`
5×	`unpow1_binary64_2523`
4×	`sub0-neg_binary64_2452` `associate-+l-_binary64_2400`
2×	`exp-sqrt_binary64_2518` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `distribute-rgt-neg-out_binary64_2425` `associate-+r-_binary64_2399`
1×	`exp-lft-sqr_binary64_2520` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-rft_binary64_2491` `rem-square-sqrt_binary64_2477`
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` `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` `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-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `div-sub_binary64_2470` `unsub-neg_binary64_2459` `mul-1-neg_binary64_2457` `/-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-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402`

Counts

89 → 107

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	1000
1	133	922
2	352	900
3	1081	882
4	1946	770
5	3036	770
6	4890	770

prune158.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	107	12	119

Error

0.0b

Counts

119 → 12

Compiler

Compiled 6197 to 868 computations (86% saved)

regimes2.4s (11%)

Accuracy

Total 0.1b remaining (78.2%)

Threshold costs 0.1b (78.2%)

Compiler

Compiled 34790 to 22040 computations (36.6% saved)

bsearch0.0ms (0%)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

25×	`*-commutative_binary64_2396`
18×	`+-commutative_binary64_2395`
17×	`sub-neg_binary64_2458`
15×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
14×	`distribute-rgt-neg-in_binary64_2423`
13×	`distribute-lft-neg-in_binary64_2422`
2×	`unsub-neg_binary64_2459` `cancel-sign-sub-inv_binary64_2431` `distribute-neg-in_binary64_2426`
1×	`distribute-lft-neg-out_binary64_2424`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `unpow1_binary64_2523` `e-exp-1_binary64_2510` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	85
1	48	85
2	65	85
3	91	85
4	124	85
5	148	85
6	162	85
7	168	85
8	169	85
9	169	85

end0.0ms (0%)

sample10.8s (49.4%)

Algorithm

1×

intervals

Results

4.8s	5338×	body	1024	valid
712.0ms	1305×	body	512	valid
341.0ms	177×	body	2048	valid
148.0ms	394×	body	256	valid
135.0ms	786×	body	128	valid

Compiler

Compiled 5672 to 3587 computations (36.8% saved)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Details

analyze2.7s (12.3%)

sample202.0ms (0.9%)

simplify118.0ms (0.5%)

prune4.0ms (0%)

localize20.0ms (0.1%)

rewrite112.0ms (0.5%)

series651.0ms (3%)

simplify137.0ms (0.6%)

prune257.0ms (1.2%)

localize27.0ms (0.1%)

rewrite137.0ms (0.6%)

series989.0ms (4.5%)

simplify159.0ms (0.7%)

prune261.0ms (1.2%)

localize34.0ms (0.2%)

rewrite163.0ms (0.7%)

series1.6s (7.1%)

simplify120.0ms (0.6%)

prune254.0ms (1.2%)

localize34.0ms (0.2%)

rewrite136.0ms (0.6%)

series345.0ms (1.6%)

simplify89.0ms (0.4%)

prune158.0ms (0.7%)

regimes2.4s (11%)

bsearch0.0ms (0%)

simplify9.0ms (0%)

end0.0ms (0%)

sample10.8s (49.4%)

Profiling

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39