Details

analyze143.0ms (13.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

11×	`sub-neg_binary64_2458`
7×	`+-commutative_binary64_2395`
4×	`div-sub_binary64_2470`
3×	`sub0-neg_binary64_2452` `associate-/r*_binary64_2409` `associate--r+_binary64_2401` `associate-+l-_binary64_2400`
2×	`neg-mul-1_binary64_2461` `--rgt-identity_binary64_2451` `*-commutative_binary64_2396`
1×	`1-exp_binary64_2509` `neg-sub0_binary64_2460` `div0_binary64_2446` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate-+l+_binary64_2398` `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` `times-frac_binary64_2471` `unsub-neg_binary64_2459` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `+-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` `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-l/_binary64_2408` `associate-r/_binary64_2407` `associate-l_binary64_2406` `associate-r_binary64_2405` `associate--r-_binary64_2404` `associate-+r-_binary64_2399`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	18	7
4	24	7
5	32	7
6	41	7
7	55	7
8	62	7
9	65	7
10	66	7
11	46	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample16.0ms (1.5%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify10.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary64_2458`
7×	`+-commutative_binary64_2395`
4×	`div-sub_binary64_2470`
3×	`sub0-neg_binary64_2452` `associate-/r*_binary64_2409` `associate--r+_binary64_2401` `associate-+l-_binary64_2400`
2×	`neg-mul-1_binary64_2461` `--rgt-identity_binary64_2451` `*-commutative_binary64_2396`
1×	`1-exp_binary64_2509` `neg-sub0_binary64_2460` `div0_binary64_2446` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate-+l+_binary64_2398` `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` `times-frac_binary64_2471` `unsub-neg_binary64_2459` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `+-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` `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-l/_binary64_2408` `associate-r/_binary64_2407` `associate-l_binary64_2406` `associate-r_binary64_2405` `associate--r-_binary64_2404` `associate-+r-_binary64_2399`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	18	7
4	24	7
5	32	7
6	41	7
7	55	7
8	62	7
9	65	7
10	66	7
11	46	7

prune1.0ms (0.1%)

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 5 to 4 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 x (-.f64 1 x))

rewrite38.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
18×	`times-frac_binary64_2471`
12×	`add-cube-cbrt_binary64_2500`
8×	`difference-of-squares_binary64_2434`
6×	`associate-/r*_binary64_2409`
4×	`distribute-lft-out--_binary64_2417`
3×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-/l*_binary64_2410`
2×	`associate-/r/_binary64_2411`
1×	`pow1_binary64_2526` `div-exp_binary64_2516` `add-log-exp_binary64_2504` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

1 → 41

Calls

1 calls:

6.0ms

(/.f64 x (-.f64 1 x))

Compiler

Compiled 526 to 328 computations (37.6% saved)

series48.0ms (4.5%)

Error

0.0b

Counts

1 → 10

Calls

1 calls:

41.0ms

(/.f64 x (-.f64 1 x))

Compiler

Compiled 168 to 143 computations (14.9% saved)

simplify113.0ms (10.5%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-/l*_binary64_2410`
330×	`cancel-sign-sub-inv_binary64_2431`
288×	`associate-l_binary64_2406`
269×	`associate-r_binary64_2405`
266×	`unswap-sqr_binary64_2433`
250×	`unsub-neg_binary64_2459`
248×	`associate-/l/_binary64_2412`
233×	`associate-/r*_binary64_2409`
186×	`sub-neg_binary64_2458`
149×	`associate-*l/_binary64_2408`
142×	`associate-/r/_binary64_2411`
120×	`distribute-rgt-in_binary64_2415`
116×	`log-div_binary64_2552`
99×	`log-prod_binary64_2551`
90×	`neg-sub0_binary64_2460`
88×	`distribute-lft-in_binary64_2414`
80×	`associate-*r/_binary64_2407`
73×	`*-commutative_binary64_2396`
70×	`div-sub_binary64_2470` `neg-mul-1_binary64_2461`
66×	`associate-+l+_binary64_2398`
52×	`distribute-rgt-out_binary64_2418`
49×	`times-frac_binary64_2471`
47×	`cube-div_binary64_2494`
43×	`associate-+r+_binary64_2397`
41×	`*-lft-identity_binary64_2454`
38×	`associate-+l-_binary64_2400` `+-commutative_binary64_2395`
37×	`unpow3_binary64_2531`
36×	`*-rgt-identity_binary64_2455`
34×	`distribute-lft-neg-out_binary64_2424`
31×	`distribute-rgt-neg-out_binary64_2425`
30×	`div0_binary64_2446` `distribute-frac-neg_binary64_2428`
27×	`sqr-pow_binary64_2437` `distribute-lft-out_binary64_2416`
25×	`cube-prod_binary64_2493`
24×	`associate--r+_binary64_2401`
23×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
22×	`sub0-neg_binary64_2452`
21×	`distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
19×	`pow-plus_binary64_2528`
18×	`distribute-neg-frac_binary64_2429` `associate-+r-_binary64_2399`
16×	`log-rec_binary64_2553` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456`
15×	`distribute-neg-in_binary64_2426`
14×	`distribute-rgt1-in_binary64_2421`
13×	`exp-prod_binary64_2517` `+-rgt-identity_binary64_2450`
12×	`associate--l-_binary64_2403`
11×	`swap-sqr_binary64_2432`
10×	`associate--l+_binary64_2402`
9×	`log-pow_binary64_2554`
8×	`cube-unmult_binary64_2502` `associate--r-_binary64_2404`
7×	`remove-double-neg_binary64_2453` `difference-of-sqr-1_binary64_2435`
6×	`exp-sum_binary64_2511` `difference-of-sqr--1_binary64_2436`
5×	`sqr-neg_binary64_2479` `--rgt-identity_binary64_2451` `remove-double-div_binary64_2441` `distribute-rgt-out--_binary64_2419`
4×	`cube-neg_binary64_2492` `difference-of-squares_binary64_2434`
3×	`cube-mult_binary64_2495` `cancel-sign-sub_binary64_2430` `distribute-lft1-in_binary64_2420`
2×	`exp-diff_binary64_2513` `rem-sqrt-square_binary64_2478` `*-inverses_binary64_2445` `pow-sqr_binary64_2438` `count-2_binary64_2413`
1×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `exp-neg_binary64_2512` `1-exp_binary64_2509` `+-lft-identity_binary64_2449` `lft-mult-inverse_binary64_2443` `distribute-neg-out_binary64_2427`
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` `unpow1/3_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` `rem-square-sqrt_binary64_2477` `+-inverses_binary64_2444` `rgt-mult-inverse_binary64_2442` `distribute-lft-out--_binary64_2417`

Counts

51 → 27

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	700
1	171	660
2	415	657
3	898	654
4	3445	654
5	4796	654
6	4972	654
7	4853	654

prune20.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

Counts

28 → 2

Compiler

Compiled 259 to 158 computations (39% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 1 (+.f64 -1 (/.f64 1 x)))

rewrite51.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`*-un-lft-identity_binary64_2465`
15×	`times-frac_binary64_2471`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
8×	`distribute-lft-out_binary64_2416`
5×	`add-exp-log_binary64_2503` `div-inv_binary64_2462` `associate-/r*_binary64_2409`
3×	`add-cbrt-cube_binary64_2501` `associate-/l*_binary64_2410`
2×	`pow1_binary64_2526` `div-exp_binary64_2516` `associate-/r/_binary64_2411`
1×	`inv-pow_binary64_2550` `pow-flip_binary64_2539` `1-exp_binary64_2509` `rec-exp_binary64_2515` `add-log-exp_binary64_2504` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `flip3-+_binary64_2468` `flip-+_binary64_2439`

Counts

1 → 41

Calls

1 calls:

10.0ms

(/.f64 1 (+.f64 -1 (/.f64 1 x)))

Compiler

Compiled 599 to 535 computations (10.7% saved)

series41.0ms (3.8%)

Error

Counts

1 → 10

Calls

1 calls:

33.0ms

(/.f64 1 (+.f64 -1 (/.f64 1 x)))

Compiler

Compiled 168 to 143 computations (14.9% saved)

simplify103.0ms (9.5%)

Algorithm

1×	egg-herbie

Rules

672×	`unsub-neg_binary64_2459`
419×	`div-sub_binary64_2470`
358×	`distribute-rgt-out_binary64_2418`
331×	`sub-neg_binary64_2458`
255×	`neg-mul-1_binary64_2461`
234×	`neg-sub0_binary64_2460`
186×	`unswap-sqr_binary64_2433`
180×	`times-frac_binary64_2471`
142×	`distribute-rgt-in_binary64_2415`
130×	`associate-l_binary64_2406`
125×	`associate-/l*_binary64_2410`
122×	`associate-r_binary64_2405`
109×	`associate-+r+_binary64_2397`
105×	`associate-*l/_binary64_2408`
102×	`distribute-rgt-out--_binary64_2419` `distribute-lft-in_binary64_2414`
98×	`associate-+l+_binary64_2398`
93×	`associate-/r*_binary64_2409`
88×	`distribute-neg-out_binary64_2427`
87×	`distribute-lft-neg-out_binary64_2424`
85×	`distribute-rgt-neg-out_binary64_2425`
84×	`cancel-sign-sub_binary64_2430`
73×	`cancel-sign-sub-inv_binary64_2431` `distribute-neg-frac_binary64_2429`
71×	`distribute-neg-in_binary64_2426`
61×	`associate-*r/_binary64_2407`
56×	`associate-/l/_binary64_2412` `associate-+l-_binary64_2400`
55×	`distribute-frac-neg_binary64_2428`
54×	`associate-+r-_binary64_2399`
53×	`cube-div_binary64_2494`
49×	`cube-prod_binary64_2493` `associate--r+_binary64_2401`
47×	`*-commutative_binary64_2396`
42×	`distribute-rgt1-in_binary64_2421`
39×	`+-commutative_binary64_2395`
38×	`distribute-rgt-neg-in_binary64_2423`
34×	`distribute-lft-neg-in_binary64_2422`
33×	`sqr-pow_binary64_2437`
32×	`*-rgt-identity_binary64_2455`
31×	`unpow3_binary64_2531`
30×	`*-lft-identity_binary64_2454` `associate-/r/_binary64_2411`
24×	`pow-plus_binary64_2528` `distribute-lft-out_binary64_2416`
20×	`cube-mult_binary64_2495` `distribute-lft1-in_binary64_2420` `associate--r-_binary64_2404`
17×	`associate--l+_binary64_2402`
15×	`cube-unmult_binary64_2502`
14×	`log-div_binary64_2552`
13×	`sub0-neg_binary64_2452` `remove-double-div_binary64_2441`
12×	`/-rgt-identity_binary64_2456` `difference-of-squares_binary64_2434`
11×	`swap-sqr_binary64_2432`
10×	`cube-neg_binary64_2492`
9×	`log-prod_binary64_2551` `sqr-neg_binary64_2479` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
8×	`mul-1-neg_binary64_2457`
7×	`remove-double-neg_binary64_2453` `+-rgt-identity_binary64_2450` `associate--l-_binary64_2403`
6×	`--rgt-identity_binary64_2451`
4×	`log-rec_binary64_2553` `+-lft-identity_binary64_2449` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435`
3×	`rem-sqrt-square_binary64_2478` `div0_binary64_2446` `pow-sqr_binary64_2438`
2×	`unpow1/2_binary64_2529` `exp-prod_binary64_2517`
1×	`unpow2_binary64_2530` `unpow1_binary64_2523` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `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` `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` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `distribute-lft-out--_binary64_2417`

Counts

51 → 33

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	724
1	157	669
2	352	666
3	720	657
4	2265	657
5	3913	657
6	4902	657
7	4898	657

prune26.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	33	2	35

Error

Counts

35 → 2

Compiler

Compiled 331 to 280 computations (15.4% saved)

regimes27.0ms (2.5%)

Accuracy

Total 0.0b remaining (65.7%)

Threshold costs 0.0b (65.7%)

Compiler

Compiled 132 to 100 computations (24.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64_2458` `+-commutative_binary64_2395`
1×	`1-exp_binary64_2509` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `*-commutative_binary64_2396`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `unpow1_binary64_2523` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `unsub-neg_binary64_2459` `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	5	7
1	9	7
2	13	7
3	15	7
4	16	7
5	15	7

end0.0ms (0%)

sample428.0ms (39.7%)

Algorithm

1×

intervals

Results

143.0ms

8000×

body

128

valid

Compiler

Compiled 71 to 55 computations (22.5% saved)

Details

analyze143.0ms (13.3%)

sample16.0ms (1.5%)

simplify10.0ms (0.9%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

rewrite38.0ms (3.6%)

series48.0ms (4.5%)

simplify113.0ms (10.5%)

prune20.0ms (1.9%)

localize4.0ms (0.4%)

rewrite51.0ms (4.7%)

series41.0ms (3.8%)

simplify103.0ms (9.5%)

prune26.0ms (2.4%)

regimes27.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample428.0ms (39.7%)

Profiling