Details

analyze547.0ms (9.4%)

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
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	42×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify103.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_2396`
1×	`+-commutative_binary64_2395`
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` `1-exp_binary64_2509` `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` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `unsub-neg_binary64_2459` `sub-neg_binary64_2458` `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` `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` `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-rgt-neg-out_binary64_2425` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422` `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` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `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_2406` `associate-r*_binary64_2405` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399` `associate-+l+_binary64_2398` `associate-+r+_binary64_2397`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	13	14

prune1.0ms (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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_2504`
1×	`sum-log_binary64_2556` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3-+_binary64_2468` `*-un-lft-identity_binary64_2465` `flip-+_binary64_2439` `+-commutative_binary64_2395`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

Compiler

Compiled 178 to 42 computations (76.4% saved)

series139.0ms (2.4%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

129.0ms

(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

Compiler

Compiled 324 to 235 computations (27.5% saved)

simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Rules

672×	`distribute-rgt-in_binary64_2415`
564×	`distribute-lft-in_binary64_2414`
387×	`distribute-rgt-out_binary64_2418`
326×	`unswap-sqr_binary64_2433`
315×	`*-commutative_binary64_2396`
205×	`cancel-sign-sub-inv_binary64_2431`
192×	`unsub-neg_binary64_2459`
191×	`distribute-rgt-neg-in_binary64_2423`
180×	`associate-l_binary64_2406`
171×	`sub-neg_binary64_2458`
135×	`+-commutative_binary64_2395`
132×	`distribute-lft-neg-in_binary64_2422`
131×	`associate-r_binary64_2405`
112×	`distribute-lft-out_binary64_2416`
109×	`sqr-pow_binary64_2437`
101×	`distribute-lft-neg-out_binary64_2424`
91×	`distribute-neg-in_binary64_2426`
84×	`associate-+r+_binary64_2397`
83×	`distribute-rgt-neg-out_binary64_2425` `associate-+l+_binary64_2398`
76×	`pow-sqr_binary64_2438`
67×	`neg-mul-1_binary64_2461`
61×	`neg-sub0_binary64_2460`
56×	`associate-+l-_binary64_2400`
53×	`distribute-rgt-out--_binary64_2419`
49×	`associate--r+_binary64_2401`
46×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
45×	`cancel-sign-sub_binary64_2430`
32×	`sub0-neg_binary64_2452` `count-2_binary64_2413`
26×	`associate-+r-_binary64_2399`
24×	`associate-/l/_binary64_2412`
23×	`remove-double-neg_binary64_2453`
19×	`distribute-neg-out_binary64_2427`
15×	`swap-sqr_binary64_2432` `distribute-rgt1-in_binary64_2421`
14×	`distribute-lft-out--_binary64_2417` `associate-/l*_binary64_2410`
13×	`times-frac_binary64_2471` `associate-*r/_binary64_2407`
11×	`exp-sum_binary64_2511` `+-rgt-identity_binary64_2450`
10×	`associate--r-_binary64_2404` `associate--l+_binary64_2402`
8×	`cube-unmult_binary64_2502` `--rgt-identity_binary64_2451`
6×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `/-rgt-identity_binary64_2456` `+-lft-identity_binary64_2449`
4×	`pow-plus_binary64_2528` `exp-prod_binary64_2517`
3×	`exp-diff_binary64_2513` `difference-of-squares_binary64_2434` `associate-*l/_binary64_2408` `associate--l-_binary64_2403`
2×	`associate-/r/_binary64_2411`
1×	`prod-exp_binary64_2514` `exp-neg_binary64_2512` `1-exp_binary64_2509` `cube-neg_binary64_2492` `sqr-neg_binary64_2479` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `*-inverses_binary64_2445` `+-inverses_binary64_2444`
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` `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` `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-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `div0_binary64_2446` `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` `associate-/r*_binary64_2409`

Counts

35 → 33

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	518
1	108	489
2	342	489
3	880	489
4	1835	489
5	3410	489

prune27.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

0.0b

Counts

34 → 2

Compiler

Compiled 814 to 164 computations (79.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (cbrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
1.5b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
1.5b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
1.5b	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))

rewrite114.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
18×	`cbrt-div_binary64_2497`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547` `flip3-+_binary64_2468` `flip-+_binary64_2439`
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` `frac-times_binary64_2475` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438` `associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (cbrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

Compiler

Compiled 3392 to 374 computations (89% saved)

series1.6s (26.9%)

Error

0.0b

Counts

4 → 100

Calls

4 calls:

457.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (cbrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
330.0ms	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
326.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
318.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

Compiler

Compiled 11148 to 7124 computations (36.1% saved)

simplify631.0ms (10.8%)

Algorithm

1×	egg-herbie

Rules

441×	`times-frac_binary64_2471`
298×	`cancel-sign-sub-inv_binary64_2431`
284×	`associate-r_binary64_2405`
243×	`associate-/l*_binary64_2410`
219×	`associate-l_binary64_2406`
215×	`associate-/r*_binary64_2409`
184×	`*-commutative_binary64_2396`
115×	`sqr-pow_binary64_2437`
102×	`unswap-sqr_binary64_2433`
98×	`difference-of-squares_binary64_2434`
97×	`distribute-neg-frac_binary64_2429`
92×	`sub-neg_binary64_2458` `associate-*r/_binary64_2407`
80×	`associate-*l/_binary64_2408`
64×	`exp-sum_binary64_2511`
59×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
57×	`+-commutative_binary64_2395`
50×	`exp-prod_binary64_2517`
48×	`distribute-rgt-neg-in_binary64_2423`
44×	`pow-sqr_binary64_2438`
32×	`log-prod_binary64_2551`
30×	`unsub-neg_binary64_2459` `distribute-lft-neg-in_binary64_2422`
26×	`distribute-rgt-in_binary64_2415`
22×	`distribute-lft-neg-out_binary64_2424` `distribute-lft-in_binary64_2414`
20×	`unpow1/3_binary64_2532` `distribute-neg-out_binary64_2427` `associate-/r/_binary64_2411`
16×	`exp-diff_binary64_2513` `div-sub_binary64_2470`
14×	`cube-prod_binary64_2493`
13×	`swap-sqr_binary64_2432`
11×	`*-rgt-identity_binary64_2455`
10×	`distribute-lft-out--_binary64_2417`
9×	`log-pow_binary64_2554`
8×	`log-div_binary64_2552` `unpow3_binary64_2531` `cube-mult_binary64_2495` `*-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `distribute-rgt-neg-out_binary64_2425` `associate--r-_binary64_2404` `associate--l+_binary64_2402`
7×	`pow-plus_binary64_2528`
6×	`associate-+l+_binary64_2398`
4×	`log-rec_binary64_2553` `unpow2_binary64_2530` `unpow1_binary64_2523` `cube-unmult_binary64_2502` `distribute-rgt-out--_binary64_2419`
3×	`rem-3cbrt-lft_binary64_2490` `rem-sqrt-square_binary64_2478` `count-2_binary64_2413`
2×	`associate-+l-_binary64_2400` `associate-+r-_binary64_2399`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-rft_binary64_2491` `rem-square-sqrt_binary64_2477` `*-inverses_binary64_2445`
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` `unpow1/2_binary64_2529` `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-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `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_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-in_binary64_2426` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out_binary64_2418` `distribute-lft-out_binary64_2416` `associate-/l/_binary64_2412` `associate--l-_binary64_2403` `associate--r+_binary64_2401` `associate-+r+_binary64_2397`

Counts

187 → 425

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	7042
1	913	6670
2	3390	6340

prune567.0ms (9.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	425	0	425
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	425	2	427

Error

0.0b

Counts

427 → 2

Compiler

Compiled 17024 to 4549 computations (73.3% saved)

regimes139.0ms (2.4%)

Accuracy

Total 0.0b remaining (18.4%)

Threshold costs 0.0b (18.4%)

Compiler

Compiled 1315 to 857 computations (34.8% saved)

bsearch0.0ms (0%)

simplify1.1s (18.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_2396`
1×	`+-commutative_binary64_2395`
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` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `unsub-neg_binary64_2459` `sub-neg_binary64_2458` `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-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-rgt-neg-out_binary64_2425` `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	10	14
1	13	14

Proof

(+ f64 (* f64 (x re) (y im)) (* f64 (x im) (y re)))

end0.0ms (0%)

sample756.0ms (13%)

Algorithm

1×

intervals

Results

210.0ms	8000×	body	128	valid
40.0ms	1314×	body	128	invalid

Compiler

Compiled 198 to 132 computations (33.3% saved)

Details

analyze547.0ms (9.4%)

sample20.0ms (0.3%)

simplify103.0ms (1.8%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite12.0ms (0.2%)

series139.0ms (2.4%)

simplify115.0ms (2%)

prune27.0ms (0.5%)

localize14.0ms (0.2%)

rewrite114.0ms (2%)

series1.6s (26.9%)

simplify631.0ms (10.8%)

prune567.0ms (9.7%)

regimes139.0ms (2.4%)

bsearch0.0ms (0%)

simplify1.1s (18.3%)

end0.0ms (0%)

sample756.0ms (13%)

Profiling