Details

analyze2.2s (16.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

1136×	`div-sub_binary64_2470`
800×	`distribute-rgt-in_binary64_2415`
780×	`distribute-lft-in_binary64_2414`
561×	`distribute-rgt-neg-in_binary64_2423`
525×	`cancel-sign-sub-inv_binary64_2431`
466×	`sub-neg_binary64_2458`
368×	`neg-mul-1_binary64_2461`
364×	`associate-/r/_binary64_2411`
354×	`times-frac_binary64_2471`
334×	`distribute-lft-neg-in_binary64_2422` `associate-/l/_binary64_2412`
321×	`*-commutative_binary64_2396`
298×	`neg-sub0_binary64_2460`
262×	`distribute-lft-neg-out_binary64_2424`
248×	`distribute-rgt-neg-out_binary64_2425`
201×	`associate-/l*_binary64_2410`
168×	`unsub-neg_binary64_2459`
163×	`distribute-neg-frac_binary64_2429`
160×	`associate-r_binary64_2405`
157×	`associate-/r*_binary64_2409`
151×	`distribute-frac-neg_binary64_2428`
141×	`remove-double-neg_binary64_2453`
140×	`+-lft-identity_binary64_2449`
138×	`+-commutative_binary64_2395`
133×	`associate--r+_binary64_2401`
95×	`mul0-rgt_binary64_2448`
92×	`mul0-lft_binary64_2447`
85×	`*-lft-identity_binary64_2454`
82×	`cancel-sign-sub_binary64_2430` `distribute-neg-in_binary64_2426`
69×	`div0_binary64_2446`
64×	`associate-l_binary64_2406`
57×	`associate-+l-_binary64_2400`
50×	`*-rgt-identity_binary64_2455`
49×	`sub0-neg_binary64_2452`
45×	`/-rgt-identity_binary64_2456`
33×	`--rgt-identity_binary64_2451`
31×	`remove-double-div_binary64_2441`
16×	`associate--l-_binary64_2403`
12×	`associate-+l+_binary64_2398`
10×	`mul-1-neg_binary64_2457`
8×	`associate--r-_binary64_2404`
6×	`tan-neg_binary64_2597` `sin-neg_binary64_2595`
4×	`+-rgt-identity_binary64_2450` `associate--l+_binary64_2402` `associate-+r-_binary64_2399` `associate-+r+_binary64_2397`
3×	`cos-neg_binary64_2596`
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` `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-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` `-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `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-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_2408` `associate-*r/_binary64_2407`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	200
1	140	200
2	331	200
3	634	200
4	880	200
5	1111	200
6	1602	200
7	1775	200
8	2900	200
9	3316	200
10	3194	200
11	3147	200
12	3153	200
13	3159	200
14	3600	200
15	3902	200
16	3920	200
17	3958	200
18	4022	200
19	4052	200
20	4060	200
21	4060	200
22	5205	200
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
12.5%	87.4%	0.1%	8
31.2%	68.6%	0.1%	9
31.2%	68.6%	0.1%	10
31.2%	68.6%	0.1%	11
40.6%	59.3%	0.1%	12
40.6%	59.3%	0.1%	13
40.6%	59.3%	0.1%	14

Compiler

Compiled 31 to 19 computations (38.7% saved)

sample125.0ms (0.9%)

Algorithm

1×

intervals

Results

63.0ms	73×	body	1024	valid
21.0ms	135×	body	128	valid
17.0ms	30×	body	512	valid
6.0ms	17×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify253.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

867×	`div-sub_binary64_2470`
788×	`associate-/r/_binary64_2411`
582×	`associate-/l*_binary64_2410`
551×	`associate-/l/_binary64_2412`
395×	`associate-/r*_binary64_2409`
394×	`sub-neg_binary64_2458`
326×	`distribute-neg-frac_binary64_2429`
320×	`distribute-rgt-in_binary64_2415`
308×	`distribute-lft-in_binary64_2414`
300×	`unsub-neg_binary64_2459`
279×	`times-frac_binary64_2471`
203×	`distribute-rgt-neg-in_binary64_2423`
189×	`cancel-sign-sub-inv_binary64_2431`
166×	`*-commutative_binary64_2396`
159×	`distribute-lft-neg-in_binary64_2422`
127×	`neg-mul-1_binary64_2461`
112×	`neg-sub0_binary64_2460`
101×	`associate-*l/_binary64_2408`
83×	`associate--r+_binary64_2401`
80×	`+-commutative_binary64_2395`
75×	`mul0-rgt_binary64_2448`
72×	`distribute-frac-neg_binary64_2428`
69×	`mul0-lft_binary64_2447`
62×	`div0_binary64_2446`
58×	`distribute-rgt-neg-out_binary64_2425`
54×	`associate-r_binary64_2405`
51×	`distribute-lft-neg-out_binary64_2424`
41×	`associate-l_binary64_2406`
36×	`remove-double-div_binary64_2441`
33×	`/-rgt-identity_binary64_2456`
22×	`distribute-neg-in_binary64_2426`
17×	`*-lft-identity_binary64_2454`
16×	`associate-*r/_binary64_2407`
15×	`+-lft-identity_binary64_2449`
13×	`*-rgt-identity_binary64_2455` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `associate-+l-_binary64_2400`
9×	`--rgt-identity_binary64_2451`
4×	`mul-1-neg_binary64_2457`
3×	`associate--r-_binary64_2404` `associate-+l+_binary64_2398`
1×	`1-exp_binary64_2509` `+-rgt-identity_binary64_2450` `cancel-sign-sub_binary64_2430` `associate--l+_binary64_2402` `associate-+r-_binary64_2399` `associate-+r+_binary64_2397`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `log-div_binary64_2552` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `pow-plus_binary64_2528` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `exp-prod_binary64_2517` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `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` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `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-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_2403`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	41	50
2	90	50
3	170	50
4	234	50
5	296	50
6	385	50
7	504	50
8	735	50
9	897	50
10	1203	50
11	1069	50
12	1071	50
13	1103	50
14	1087	50
15	1087	50
16	1521	50
17	1977	50
18	1945	50
19	2001	50
20	2169	50
21	2265	50
22	2313	50
23	2353	50
24	2321	50
25	2321	50
26	1809	50
27	2105	50
28	1817	50
29	1817	50
30	1817	50
31	1604	50

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

1 → 1

Compiler

Compiled 30 to 18 computations (40% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 eh (sin.f64 t))
2.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
22.8b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite136.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
12×	`add-sqr-sqrt_binary64_2487`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`pow1_binary64_2526` `times-frac_binary64_2471` `associate-/r*_binary64_2409`
4×	`add-log-exp_binary64_2504` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499`
3×	`distribute-lft-neg-out_binary64_2424` `distribute-frac-neg_binary64_2428` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `tan-quot_binary64_2624` `associate-r/_binary64_2407` `associate-/l/_binary64_2412` `associate-/l_binary64_2410`
1×	`cos-atan_binary64_2644` `atan-neg_binary64_2649` `cos-neg_binary64_2596` `pow-prod-down_binary64_2536` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
5.0ms	(*.f64 eh (sin.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

Compiler

Compiled 2617 to 472 computations (82% saved)

series1.3s (9.7%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

457.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
454.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
260.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
111.0ms	(*.f64 eh (sin.f64 t))

Compiler

Compiled 3212 to 1724 computations (46.3% saved)

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-/l*_binary64_2410`
656×	`times-frac_binary64_2471`
622×	`div-sub_binary64_2470`
462×	`associate-r_binary64_2405`
272×	`associate-*l/_binary64_2408`
231×	`associate-/r*_binary64_2409`
214×	`associate-/l/_binary64_2412`
178×	`associate-*r/_binary64_2407`
166×	`associate-/r/_binary64_2411`
138×	`distribute-lft-neg-out_binary64_2424`
137×	`distribute-frac-neg_binary64_2428`
121×	`distribute-rgt-neg-out_binary64_2425`
104×	`log-div_binary64_2552`
98×	`log-prod_binary64_2551`
94×	`cube-div_binary64_2494`
84×	`cube-prod_binary64_2493`
83×	`associate-l_binary64_2406`
52×	`neg-sub0_binary64_2460`
47×	`*-commutative_binary64_2396`
43×	`neg-mul-1_binary64_2461`
40×	`exp-prod_binary64_2517`
36×	`distribute-rgt-neg-in_binary64_2423`
28×	`sub-neg_binary64_2458`
24×	`distribute-lft-neg-in_binary64_2422` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
20×	`distribute-neg-frac_binary64_2429`
15×	`*-rgt-identity_binary64_2455` `swap-sqr_binary64_2432`
14×	`sqr-pow_binary64_2437` `cancel-sign-sub-inv_binary64_2431`
12×	`log-rec_binary64_2553`
11×	`unpow3_binary64_2531`
10×	`cube-unmult_binary64_2502`
9×	`exp-diff_binary64_2513` `/-rgt-identity_binary64_2456` `*-lft-identity_binary64_2454`
7×	`cube-mult_binary64_2495` `sqr-neg_binary64_2479` `div0_binary64_2446`
5×	`mul-1-neg_binary64_2457` `+-commutative_binary64_2395`
4×	`cube-neg_binary64_2492`
3×	`exp-sum_binary64_2511`
2×	`remove-double-neg_binary64_2453` `unswap-sqr_binary64_2433` `associate--l+_binary64_2402`
1×	`unpow1/2_binary64_2529` `exp-neg_binary64_2512` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `unsub-neg_binary64_2459` `pow-sqr_binary64_2438` `associate-+l+_binary64_2398`
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` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow2_binary64_2530` `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` `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` `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-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `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--r-_binary64_2404` `associate--l-_binary64_2403` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399` `associate-+r+_binary64_2397`

Counts

106 → 75

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	1552
1	236	1345
2	867	1345
3	4241	1345
4	5689	1345

prune100.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	3	76

Error

0.1b

Counts

76 → 3

Compiler

Compiled 2583 to 349 computations (86.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 eh (sin.f64 t))
2.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
3.9b	(/.f64 (*.f64 eh t) ew)
22.8b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite128.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
12×	`add-sqr-sqrt_binary64_2487`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`pow1_binary64_2526` `times-frac_binary64_2471` `associate-/r*_binary64_2409`
4×	`add-log-exp_binary64_2504` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499`
3×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`distribute-lft-neg-out_binary64_2424` `distribute-frac-neg_binary64_2428` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l*_binary64_2410`
1×	`cos-atan_binary64_2644` `atan-neg_binary64_2649` `cos-neg_binary64_2596` `tan-quot_binary64_2624` `associate-r/_binary64_2407` `associate-/l/_binary64_2412` `pow-prod-down_binary64_2536` `unswap-sqr_binary64_2433` `-commutative_binary64_2396`

Counts

4 → 71

Calls

4 calls:

8.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
5.0ms	(/.f64 (*.f64 eh t) ew)
4.0ms	(*.f64 eh (sin.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

Compiler

Compiled 2465 to 548 computations (77.8% saved)

series1.0s (7.3%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

445.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
246.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
171.0ms	(/.f64 (*.f64 eh t) ew)
100.0ms	(*.f64 eh (sin.f64 t))

Compiler

Compiled 3008 to 1661 computations (44.8% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

552×	`div-sub_binary64_2470`
511×	`associate-*l/_binary64_2408`
417×	`associate-/l/_binary64_2412`
377×	`associate-/r*_binary64_2409`
329×	`associate-*r/_binary64_2407`
306×	`associate-/r/_binary64_2411`
181×	`distribute-lft-neg-out_binary64_2424`
167×	`distribute-frac-neg_binary64_2428`
147×	`distribute-rgt-neg-out_binary64_2425`
131×	`associate-/l*_binary64_2410`
122×	`log-div_binary64_2552`
118×	`associate-l_binary64_2406`
111×	`cube-div_binary64_2494`
104×	`log-prod_binary64_2551`
89×	`cube-prod_binary64_2493`
87×	`times-frac_binary64_2471`
82×	`associate-r_binary64_2405`
59×	`*-commutative_binary64_2396`
54×	`neg-sub0_binary64_2460`
45×	`neg-mul-1_binary64_2461`
42×	`distribute-rgt-neg-in_binary64_2423`
39×	`sub-neg_binary64_2458`
37×	`exp-prod_binary64_2517`
29×	`distribute-neg-frac_binary64_2429` `distribute-lft-neg-in_binary64_2422`
26×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
21×	`swap-sqr_binary64_2432`
20×	`*-rgt-identity_binary64_2455` `cancel-sign-sub-inv_binary64_2431`
18×	`unpow3_binary64_2531`
17×	`cube-mult_binary64_2495` `sqr-pow_binary64_2437`
15×	`/-rgt-identity_binary64_2456`
14×	`log-rec_binary64_2553` `cube-unmult_binary64_2502`
13×	`*-lft-identity_binary64_2454`
11×	`sqr-neg_binary64_2479`
8×	`exp-diff_binary64_2513` `div0_binary64_2446` `+-commutative_binary64_2395`
5×	`cube-neg_binary64_2492`
4×	`mul-1-neg_binary64_2457` `associate--l+_binary64_2402`
3×	`exp-sum_binary64_2511` `unswap-sqr_binary64_2433`
2×	`exp-neg_binary64_2512` `unsub-neg_binary64_2459` `remove-double-neg_binary64_2453` `associate-+l+_binary64_2398`
1×	`unpow1/2_binary64_2529` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `pow-sqr_binary64_2438`
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` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow2_binary64_2530` `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` `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` `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-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `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--r-_binary64_2404` `associate--l-_binary64_2403` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399` `associate-+r+_binary64_2397`

Counts

104 → 70

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	1357
1	317	1178
2	1255	1178
3	4197	1178
4	5489	1178

prune91.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Error

0.1b

Counts

73 → 3

Compiler

Compiled 2276 to 329 computations (85.5% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 eh)
2.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
3.9b	(/.f64 (*.f64 eh t) ew)
22.8b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite132.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
6×	`times-frac_binary64_2471` `associate-/r*_binary64_2409`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499`
3×	`cbrt-prod_binary64_2496`
2×	`distribute-lft-neg-out_binary64_2424` `distribute-frac-neg_binary64_2428` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l*_binary64_2410`
1×	`cos-atan_binary64_2644` `atan-neg_binary64_2649` `cos-neg_binary64_2596` `tan-quot_binary64_2624` `associate-*r/_binary64_2407` `associate-/l/_binary64_2412` `pow1/3_binary64_2547`

Counts

4 → 64

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
5.0ms	(/.f64 (*.f64 eh t) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
1.0ms	(cbrt.f64 eh)

Compiler

Compiled 2663 to 530 computations (80.1% saved)

series1.0s (7.4%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

454.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
237.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
169.0ms	(/.f64 (*.f64 eh t) ew)
116.0ms	(cbrt.f64 eh)

Compiler

Compiled 3396 to 1750 computations (48.5% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

644×	`associate-/r*_binary64_2409`
528×	`associate-/l/_binary64_2412`
365×	`associate-/r/_binary64_2411`
232×	`log-div_binary64_2552`
175×	`log-prod_binary64_2551`
172×	`distribute-frac-neg_binary64_2428`
151×	`distribute-lft-neg-out_binary64_2424`
140×	`associate-/l*_binary64_2410`
131×	`div-sub_binary64_2470`
130×	`distribute-rgt-neg-out_binary64_2425`
96×	`associate-l_binary64_2406`
88×	`times-frac_binary64_2471`
74×	`associate-r_binary64_2405`
72×	`distribute-rgt-neg-in_binary64_2423`
65×	`distribute-lft-neg-in_binary64_2422`
60×	`associate-*l/_binary64_2408`
58×	`unswap-sqr_binary64_2433`
54×	`neg-sub0_binary64_2460`
49×	`associate-*r/_binary64_2407`
48×	`cancel-sign-sub-inv_binary64_2431`
46×	`distribute-neg-frac_binary64_2429`
45×	`neg-mul-1_binary64_2461` `*-commutative_binary64_2396`
41×	`swap-sqr_binary64_2432`
39×	`sub-neg_binary64_2458`
31×	`cube-div_binary64_2494`
30×	`cube-prod_binary64_2493` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
18×	`sqr-pow_binary64_2437`
14×	`cube-unmult_binary64_2502`
12×	`log-rec_binary64_2553` `*-rgt-identity_binary64_2455`
8×	`div0_binary64_2446`
7×	`exp-prod_binary64_2517` `mul-1-neg_binary64_2457` `+-commutative_binary64_2395`
6×	`log-pow_binary64_2554`
4×	`/-rgt-identity_binary64_2456` `associate--l+_binary64_2402`
3×	`pow-plus_binary64_2528` `sqr-neg_binary64_2479` `rem-sqrt-square_binary64_2478` `pow-sqr_binary64_2438`
2×	`unpow1/3_binary64_2532` `exp-diff_binary64_2513` `unsub-neg_binary64_2459` `*-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `associate-+l+_binary64_2398`
1×	`1-exp_binary64_2509` `cube-neg_binary64_2492` `rem-3cbrt-lft_binary64_2490` `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` `pow-base-0_binary64_2549` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `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` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `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` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `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` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399` `associate-+r+_binary64_2397`

Counts

94 → 63

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	1226
1	297	1069
2	1255	1069
3	4651	1069
4	5075	1069

prune96.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	63	3	66

Error

0.1b

Counts

66 → 3

Compiler

Compiled 2470 to 294 computations (88.1% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 eh) (.f64 (sin.f64 t) (sqrt.f64 eh)))
2.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
3.9b	(/.f64 (*.f64 eh t) ew)
22.8b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite145.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
9×	`pow1_binary64_2526`
6×	`times-frac_binary64_2471` `associate-/r_binary64_2409` `associate-l*_binary64_2406`
5×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499`
3×	`pow-prod-down_binary64_2536` `sqrt-prod_binary64_2481`
2×	`distribute-lft-neg-out_binary64_2424` `distribute-frac-neg_binary64_2428` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l*_binary64_2410`
1×	`cos-atan_binary64_2644` `atan-neg_binary64_2649` `cos-neg_binary64_2596` `tan-quot_binary64_2624` `associate-r/_binary64_2407` `associate-/l/_binary64_2412` `associate-r_binary64_2405` `-commutative_binary64_2396`

Counts

4 → 74

Calls

4 calls:

9.0ms	(.f64 (sqrt.f64 eh) (.f64 (sin.f64 t) (sqrt.f64 eh)))
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
5.0ms	(/.f64 (*.f64 eh t) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

Compiler

Compiled 2895 to 569 computations (80.3% saved)

series1.0s (7.6%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

494.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
260.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
151.0ms	(/.f64 (*.f64 eh t) ew)
94.0ms	(.f64 (sqrt.f64 eh) (.f64 (sin.f64 t) (sqrt.f64 eh)))

Compiler

Compiled 3349 to 1791 computations (46.5% saved)

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

542×	`associate-*l/_binary64_2408`
417×	`associate-/l/_binary64_2412`
396×	`associate-/r*_binary64_2409`
358×	`associate-*r/_binary64_2407`
299×	`associate-/r/_binary64_2411`
166×	`distribute-frac-neg_binary64_2428`
158×	`distribute-lft-neg-out_binary64_2424`
143×	`log-div_binary64_2552` `associate-l_binary64_2406`
140×	`distribute-rgt-neg-out_binary64_2425`
132×	`cube-div_binary64_2494`
123×	`div-sub_binary64_2470`
122×	`associate-/l*_binary64_2410`
117×	`associate-r_binary64_2405`
101×	`log-prod_binary64_2551`
89×	`cube-prod_binary64_2493`
84×	`times-frac_binary64_2471`
69×	`*-commutative_binary64_2396`
53×	`neg-sub0_binary64_2460`
51×	`distribute-rgt-neg-in_binary64_2423`
44×	`neg-mul-1_binary64_2461`
42×	`distribute-lft-neg-in_binary64_2422`
39×	`sub-neg_binary64_2458`
36×	`distribute-neg-frac_binary64_2429`
34×	`exp-prod_binary64_2517`
32×	`cancel-sign-sub-inv_binary64_2431`
30×	`swap-sqr_binary64_2432`
27×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
24×	`unswap-sqr_binary64_2433`
22×	`unpow3_binary64_2531`
21×	`cube-mult_binary64_2495`
20×	`sqr-pow_binary64_2437`
16×	`cube-unmult_binary64_2502`
12×	`*-rgt-identity_binary64_2455`
10×	`+-commutative_binary64_2395`
9×	`log-rec_binary64_2553`
8×	`div0_binary64_2446`
7×	`exp-diff_binary64_2513`
4×	`mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `associate--l+_binary64_2402`
3×	`sqr-neg_binary64_2479` `associate-+l+_binary64_2398`
2×	`pow-plus_binary64_2528` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `unsub-neg_binary64_2459` `*-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `pow-sqr_binary64_2438` `associate-+r+_binary64_2397`
1×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `1-exp_binary64_2509` `cube-neg_binary64_2492` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `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` `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-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `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` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`

Counts

107 → 81

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	1495
1	354	1219
2	1310	1219
3	4496	1219
4	5013	1219

prune114.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	81	3	84

Error

0.1b

Counts

84 → 3

Compiler

Compiled 2832 to 342 computations (87.9% saved)

regimes562.0ms (4.1%)

Accuracy

Total 0.5b remaining (86.8%)

Threshold costs 0.5b (86.8%)

Compiler

Compiled 6534 to 4148 computations (36.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64_2396`
12×	`sub-neg_binary64_2458` `+-commutative_binary64_2395`
11×	`neg-sub0_binary64_2460`
10×	`neg-mul-1_binary64_2461`
7×	`distribute-rgt-neg-in_binary64_2423`
6×	`distribute-lft-neg-in_binary64_2422`
3×	`cancel-sign-sub-inv_binary64_2431`
2×	`distribute-lft-neg-out_binary64_2424`
1×	`mul-1-neg_binary64_2457` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `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` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `unsub-neg_binary64_2459` `/-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-out_binary64_2427` `distribute-neg-in_binary64_2426`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	48
1	42	48
2	67	48
3	91	48
4	107	48
5	114	48
6	115	48
7	115	48

end0.0ms (0%)

sample4.8s (34.8%)

Algorithm

1×

intervals

Results

1.9s	2022×	body	1024	valid
759.0ms	4536×	body	128	valid
594.0ms	962×	body	512	valid
180.0ms	478×	body	256	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 1342 to 856 computations (36.2% saved)

Details

analyze2.2s (16.1%)

sample125.0ms (0.9%)

simplify253.0ms (1.8%)

prune3.0ms (0%)

localize23.0ms (0.2%)

rewrite136.0ms (1%)

series1.3s (9.7%)

simplify91.0ms (0.7%)

prune100.0ms (0.7%)

localize28.0ms (0.2%)

rewrite128.0ms (0.9%)

series1.0s (7.3%)

simplify78.0ms (0.6%)

prune91.0ms (0.7%)

localize36.0ms (0.3%)

rewrite132.0ms (1%)

series1.0s (7.4%)

simplify79.0ms (0.6%)

prune96.0ms (0.7%)

localize33.0ms (0.2%)

rewrite145.0ms (1.1%)

series1.0s (7.6%)

simplify84.0ms (0.6%)

prune114.0ms (0.8%)

regimes562.0ms (4.1%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.8s (34.8%)

Profiling