Details

analyze211.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

71×	`distribute-rgt-in_binary64_2415`
53×	`unsub-neg_binary64_2459`
46×	`distribute-lft-in_binary64_2414`
38×	`associate-r_binary64_2405`
37×	`sub-neg_binary64_2458`
34×	`cancel-sign-sub-inv_binary64_2431` `associate-l_binary64_2406`
22×	`neg-mul-1_binary64_2461` `+-lft-identity_binary64_2449`
21×	`neg-sub0_binary64_2460`
19×	`associate--r+_binary64_2401`
17×	`distribute-lft-neg-out_binary64_2424`
15×	`sub0-neg_binary64_2452` `distribute-rgt-neg-out_binary64_2425` `distribute-rgt-neg-in_binary64_2423` `associate-+l-_binary64_2400`
12×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
8×	`--rgt-identity_binary64_2451` `*-commutative_binary64_2396`
7×	`+-commutative_binary64_2395`
6×	`remove-double-neg_binary64_2453` `distribute-rgt-out--_binary64_2419` `associate-+r-_binary64_2399`
5×	`associate-+l+_binary64_2398` `associate-+r+_binary64_2397`
4×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `swap-sqr_binary64_2432` `distribute-neg-in_binary64_2426` `distribute-lft-neg-in_binary64_2422` `associate--r-_binary64_2404`
3×	`associate--l+_binary64_2402`
2×	`sqr-neg_binary64_2479`
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-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` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `+-rgt-identity_binary64_2450` `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` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `count-2_binary64_2413` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-*r/_binary64_2407` `associate--l-_binary64_2403`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	21	20
2	41	20
3	78	20
4	167	20
5	191	20
6	214	20
7	342	20
8	336	20
9	323	20
10	321	20
11	274	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify18.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

35×	`distribute-rgt-in_binary64_2415`
25×	`unsub-neg_binary64_2459` `sub-neg_binary64_2458`
22×	`distribute-lft-in_binary64_2414`
21×	`associate-r_binary64_2405`
20×	`associate-l_binary64_2406`
19×	`cancel-sign-sub-inv_binary64_2431`
16×	`neg-mul-1_binary64_2461`
15×	`neg-sub0_binary64_2460`
12×	`+-lft-identity_binary64_2449` `distribute-rgt-neg-in_binary64_2423` `associate--r+_binary64_2401`
10×	`sub0-neg_binary64_2452` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `distribute-lft-neg-out_binary64_2424` `associate-+l-_binary64_2400`
8×	`distribute-rgt-neg-out_binary64_2425`
7×	`+-commutative_binary64_2395`
6×	`--rgt-identity_binary64_2451` `*-commutative_binary64_2396`
5×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `remove-double-neg_binary64_2453`
3×	`distribute-lft-neg-in_binary64_2422` `distribute-rgt-out--_binary64_2419` `associate-+r-_binary64_2399` `associate-+l+_binary64_2398` `associate-+r+_binary64_2397`
2×	`swap-sqr_binary64_2432` `distribute-neg-in_binary64_2426` `associate--r-_binary64_2404` `associate--l+_binary64_2402`
1×	`1-exp_binary64_2509` `sqr-neg_binary64_2479`
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` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `times-frac_binary64_2471` `div-sub_binary64_2470` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `+-rgt-identity_binary64_2450` `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` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `count-2_binary64_2413` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-*r/_binary64_2407` `associate--l-_binary64_2403`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	31	10
3	56	10
4	115	10
5	137	10
6	151	10
7	218	10
8	231	10
9	228	10
10	227	10
11	184	10

prune2.0ms (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 7 to 6 computations (14.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_2487`
3×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `-un-lft-identity_binary64_2465` `associate-l_binary64_2406` `associate-r*_binary64_2405`
2×	`sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407`
1×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `*-commutative_binary64_2396`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

Compiler

Compiled 340 to 177 computations (47.9% saved)

series125.0ms (2.8%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

117.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

Compiler

Compiled 186 to 150 computations (19.4% saved)

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

554×	`unsub-neg_binary64_2459`
551×	`distribute-neg-out_binary64_2427`
313×	`associate-l_binary64_2406`
293×	`unswap-sqr_binary64_2433`
269×	`*-commutative_binary64_2396`
239×	`associate-r_binary64_2405`
211×	`associate-+l+_binary64_2398`
172×	`cancel-sign-sub-inv_binary64_2431`
165×	`neg-sub0_binary64_2460`
159×	`exp-prod_binary64_2517`
155×	`neg-mul-1_binary64_2461`
122×	`associate-+r+_binary64_2397`
112×	`times-frac_binary64_2471` `distribute-rgt-neg-out_binary64_2425`
108×	`distribute-rgt-in_binary64_2415`
105×	`distribute-lft-neg-out_binary64_2424`
101×	`distribute-lft-in_binary64_2414`
100×	`sqr-pow_binary64_2437`
96×	`distribute-rgt-neg-in_binary64_2423`
90×	`distribute-lft-neg-in_binary64_2422`
64×	`sub-neg_binary64_2458`
59×	`distribute-neg-in_binary64_2426`
51×	`exp-sum_binary64_2511`
42×	`cube-prod_binary64_2493`
30×	`+-commutative_binary64_2395`
28×	`*-lft-identity_binary64_2454` `cancel-sign-sub_binary64_2430`
26×	`exp-diff_binary64_2513`
25×	`swap-sqr_binary64_2432`
22×	`log-prod_binary64_2551`
21×	`associate-+l-_binary64_2400`
20×	`*-rgt-identity_binary64_2455`
13×	`rem-sqrt-square_binary64_2478` `sub0-neg_binary64_2452` `pow-sqr_binary64_2438`
12×	`distribute-lft-out_binary64_2416` `associate-+r-_binary64_2399`
11×	`unpow3_binary64_2531` `cube-unmult_binary64_2502`
10×	`div-sub_binary64_2470` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `distribute-rgt-out_binary64_2418` `associate-/l*_binary64_2410`
9×	`unpow1/2_binary64_2529` `+-rgt-identity_binary64_2450` `difference-of-squares_binary64_2434`
8×	`pow-plus_binary64_2528`
7×	`sqr-neg_binary64_2479` `difference-of-sqr-1_binary64_2435`
6×	`exp-neg_binary64_2512` `cube-mult_binary64_2495` `mul-1-neg_binary64_2457` `distribute-neg-frac_binary64_2429`
4×	`log-pow_binary64_2554` `cube-neg_binary64_2492`
3×	`distribute-frac-neg_binary64_2428` `distribute-rgt-out--_binary64_2419`
2×	`remove-double-neg_binary64_2453` `difference-of-sqr--1_binary64_2436` `count-2_binary64_2413`
1×	`unpow2_binary64_2530` `unpow1_binary64_2523` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `--rgt-identity_binary64_2451` `distribute-lft-out--_binary64_2417` `associate-/l/_binary64_2412` `associate-*r/_binary64_2407`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-rec_binary64_2553` `log-div_binary64_2552` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477` `/-rgt-identity_binary64_2456` `+-lft-identity_binary64_2449` `div0_binary64_2446` `-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `associate-/r/_binary64_2411` `associate-/r_binary64_2409` `associate-*l/_binary64_2408` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401`

Counts

36 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	441
1	132	399
2	387	398
3	1161	396
4	2026	396
5	4803	396
6	5098	396

prune25.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Error

0.0b

Counts

29 → 5

Compiler

Compiled 339 to 102 computations (69.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite82.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1378 to 453 computations (67.1% saved)

series476.0ms (10.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

126.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
123.0ms	(cbrt.f64 x)
109.0ms	(cbrt.f64 x)
108.0ms	(cbrt.f64 x)

Compiler

Compiled 591 to 419 computations (29.1% saved)

simplify102.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_2551`
416×	`sqr-pow_binary64_2437`
335×	`associate-l_binary64_2406`
309×	`*-commutative_binary64_2396`
277×	`distribute-rgt-neg-in_binary64_2423`
257×	`distribute-lft-neg-in_binary64_2422`
227×	`associate-r_binary64_2405`
188×	`exp-prod_binary64_2517`
161×	`log-pow_binary64_2554`
149×	`cube-prod_binary64_2493`
128×	`pow-sqr_binary64_2438`
124×	`unswap-sqr_binary64_2433`
111×	`swap-sqr_binary64_2432`
104×	`associate-/l*_binary64_2410`
81×	`cancel-sign-sub-inv_binary64_2431`
75×	`associate-+l+_binary64_2398`
69×	`associate-+r+_binary64_2397`
61×	`distribute-rgt-in_binary64_2415`
60×	`distribute-lft-out_binary64_2416`
57×	`distribute-lft-in_binary64_2414`
54×	`neg-sub0_binary64_2460`
53×	`neg-mul-1_binary64_2461`
48×	`distribute-rgt-out_binary64_2418`
45×	`+-commutative_binary64_2395`
43×	`pow-plus_binary64_2528` `rem-sqrt-square_binary64_2478`
41×	`times-frac_binary64_2471` `sub-neg_binary64_2458`
37×	`associate-/r/_binary64_2411`
35×	`associate-*r/_binary64_2407`
32×	`unpow3_binary64_2531`
31×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `associate-/l/_binary64_2412`
29×	`count-2_binary64_2413`
27×	`cube-mult_binary64_2495`
24×	`associate-/r*_binary64_2409`
17×	`log-div_binary64_2552` `cube-div_binary64_2494` `distribute-neg-frac_binary64_2429`
13×	`cube-unmult_binary64_2502` `distribute-rgt1-in_binary64_2421`
11×	`distribute-rgt-neg-out_binary64_2425`
10×	`unpow1/2_binary64_2529`
9×	`distribute-lft-neg-out_binary64_2424` `distribute-lft1-in_binary64_2420`
8×	`unpow2_binary64_2530` `associate-*l/_binary64_2408`
5×	`unpow1_binary64_2523`
3×	`unpow1/3_binary64_2532`
2×	`exp-sqrt_binary64_2518` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `mul-1-neg_binary64_2457`
1×	`exp-lft-sqr_binary64_2520` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-rft_binary64_2491` `rem-square-sqrt_binary64_2477` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `associate-+l-_binary64_2400`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-rec_binary64_2553` `pow-base-0_binary64_2549` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `div-sub_binary64_2470` `unsub-neg_binary64_2459` `/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+r-_binary64_2399`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune47.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	50	5	55

Error

0.0b

Counts

55 → 5

Compiler

Compiled 852 to 383 computations (55% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 x x) y))
12.0b	(.f64 (.f64 x x) y)

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498` `-un-lft-identity_binary64_2465` `associate-r*_binary64_2405`
1×	`unswap-sqr_binary64_2433` `associate-l_binary64_2406` `*-commutative_binary64_2396` `diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`

Counts

2 → 31

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) y)
3.0ms	(-.f64 x (.f64 (.f64 x x) y))

Compiler

Compiled 418 to 113 computations (73% saved)

series216.0ms (4.8%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

122.0ms	(-.f64 x (.f64 (.f64 x x) y))
85.0ms	(.f64 (.f64 x x) y)

Compiler

Compiled 312 to 246 computations (21.2% saved)

simplify108.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

466×	`associate-r_binary64_2405`
377×	`unsub-neg_binary64_2459`
366×	`distribute-rgt-neg-in_binary64_2423`
337×	`distribute-lft-neg-in_binary64_2422`
309×	`unswap-sqr_binary64_2433`
305×	`cancel-sign-sub-inv_binary64_2431`
302×	`distribute-rgt-in_binary64_2415`
265×	`distribute-lft-in_binary64_2414`
242×	`times-frac_binary64_2471`
199×	`sub-neg_binary64_2458`
177×	`neg-mul-1_binary64_2461`
171×	`neg-sub0_binary64_2460`
139×	`sqr-pow_binary64_2437`
131×	`exp-prod_binary64_2517`
96×	`pow-sqr_binary64_2438`
91×	`associate-l_binary64_2406`
89×	`*-commutative_binary64_2396`
80×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
78×	`distribute-rgt-out_binary64_2418`
73×	`log-prod_binary64_2551`
69×	`exp-sum_binary64_2511`
62×	`cube-prod_binary64_2493`
49×	`associate-+l+_binary64_2398`
45×	`associate-+r+_binary64_2397`
42×	`distribute-rgt-neg-out_binary64_2425`
40×	`distribute-lft-neg-out_binary64_2424`
38×	`distribute-rgt-out--_binary64_2419` `distribute-lft-out_binary64_2416`
34×	`+-rgt-identity_binary64_2450`
28×	`unpow3_binary64_2531`
24×	`exp-diff_binary64_2513` `*-lft-identity_binary64_2454` `+-commutative_binary64_2395`
22×	`pow-plus_binary64_2528` `cube-mult_binary64_2495`
21×	`div-sub_binary64_2470`
20×	`rem-sqrt-square_binary64_2478` `swap-sqr_binary64_2432`
19×	`difference-of-squares_binary64_2434`
17×	`log-pow_binary64_2554` `*-rgt-identity_binary64_2455` `distribute-rgt1-in_binary64_2421`
16×	`+-lft-identity_binary64_2449`
14×	`distribute-lft-out--_binary64_2417`
12×	`sub0-neg_binary64_2452`
11×	`cube-unmult_binary64_2502`
10×	`unpow1/2_binary64_2529`
9×	`associate-/l*_binary64_2410`
8×	`sqr-neg_binary64_2479` `associate-/r*_binary64_2409` `associate-+l-_binary64_2400`
5×	`distribute-lft1-in_binary64_2420` `associate-+r-_binary64_2399`
3×	`cube-neg_binary64_2492` `count-2_binary64_2413` `associate--r+_binary64_2401`
2×	`unpow2_binary64_2530` `remove-double-neg_binary64_2453` `associate--l+_binary64_2402`
1×	`unpow1_binary64_2523` `div-exp_binary64_2516` `prod-exp_binary64_2514` `exp-neg_binary64_2512` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `mul-1-neg_binary64_2457` `--rgt-identity_binary64_2451` `distribute-neg-in_binary64_2426` `associate-/l/_binary64_2412` `associate-*r/_binary64_2407`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-rec_binary64_2553` `log-div_binary64_2552` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `rec-exp_binary64_2515` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477` `/-rgt-identity_binary64_2456` `div0_binary64_2446` `-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `associate-/r/_binary64_2411` `associate-l/_binary64_2408` `associate--r-_binary64_2404` `associate--l-_binary64_2403`

Counts

49 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	530
1	147	503
2	462	503
3	1386	503
4	3800	503
5	4276	503
6	4929	503
7	4709	503

prune23.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	27	6	33

Error

0.0b

Counts

33 → 6

Compiler

Compiled 295 to 85 computations (71.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 x y) 3)
0.3b	(.f64 (.f64 x y) (*.f64 x y))
1.0b	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
12.8b	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))

rewrite279.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`pow1_binary64_2526`
26×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
19×	`pow-prod-down_binary64_2536`
17×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
16×	`cancel-sign-sub-inv_binary64_2431`
11×	`prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498`
9×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-r_binary64_2405`
5×	`sqr-pow_binary64_2437`
4×	`add-log-exp_binary64_2504` `times-frac_binary64_2471` `associate-r/_binary64_2407` `associate-/r_binary64_2409` `associate-l_binary64_2406` `difference-of-squares_binary64_2434` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
3×	`unpow-prod-down_binary64_2544` `unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `pow-unpow_binary64_2542`
2×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `distribute-lft-out_binary64_2416` `flip3--_binary64_2469` `associate-/l/_binary64_2412` `flip--_binary64_2440` `associate-/r/_binary64_2411` `sub-neg_binary64_2458` `*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow-pow_binary64_2537` `pow-exp_binary64_2533` `rem-cube-cbrt_binary64_2488`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-/l*_binary64_2410` `unswap-sqr_binary64_2433` `distribute-lft-out--_binary64_2417` `pow2_binary64_2546` `swap-sqr_binary64_2432` `pow-to-exp_binary64_2534`

Counts

4 → 126

Calls

4 calls:

19.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))
10.0ms	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
7.0ms	(.f64 (.f64 x y) (*.f64 x y))
4.0ms	(pow.f64 (*.f64 x y) 3)

Compiler

Compiled 4591 to 2330 computations (49.2% saved)

series1.0s (23.5%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

433.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))
335.0ms	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
129.0ms	(pow.f64 (*.f64 x y) 3)
116.0ms	(.f64 (.f64 x y) (*.f64 x y))

Compiler

Compiled 1972 to 1324 computations (32.9% saved)

simplify121.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

436×	`exp-prod_binary64_2517`
372×	`unswap-sqr_binary64_2433`
342×	`distribute-rgt-neg-in_binary64_2423`
316×	`associate-l_binary64_2406`
313×	`log-prod_binary64_2551`
295×	`distribute-lft-neg-in_binary64_2422`
285×	`associate-r_binary64_2405`
278×	`cancel-sign-sub-inv_binary64_2431`
144×	`distribute-rgt-out_binary64_2418`
107×	`cube-prod_binary64_2493`
102×	`associate-/l_binary64_2410` `-commutative_binary64_2396`
79×	`swap-sqr_binary64_2432` `distribute-rgt-in_binary64_2415`
73×	`sqr-pow_binary64_2437`
72×	`distribute-lft-in_binary64_2414`
64×	`distribute-lft-neg-out_binary64_2424`
58×	`unpow3_binary64_2531`
49×	`neg-sub0_binary64_2460`
45×	`neg-mul-1_binary64_2461`
44×	`associate-*l/_binary64_2408`
40×	`times-frac_binary64_2471` `sub-neg_binary64_2458`
39×	`div-sub_binary64_2470`
38×	`log-div_binary64_2552`
37×	`*-lft-identity_binary64_2454` `distribute-neg-frac_binary64_2429`
35×	`*-rgt-identity_binary64_2455` `distribute-rgt-neg-out_binary64_2425`
25×	`distribute-neg-in_binary64_2426` `associate-*r/_binary64_2407` `+-commutative_binary64_2395`
21×	`associate-/l/_binary64_2412`
20×	`cube-div_binary64_2494`
19×	`log-pow_binary64_2554`
18×	`associate-/r*_binary64_2409`
17×	`pow-plus_binary64_2528`
14×	`distribute-rgt1-in_binary64_2421`
12×	`/-rgt-identity_binary64_2456` `pow-sqr_binary64_2438` `associate-/r/_binary64_2411`
11×	`cube-unmult_binary64_2502`
10×	`cube-mult_binary64_2495` `associate-+l+_binary64_2398`
9×	`unsub-neg_binary64_2459` `associate-+r+_binary64_2397`
7×	`rem-sqrt-square_binary64_2478` `distribute-lft1-in_binary64_2420`
6×	`log-rec_binary64_2553` `unpow1/2_binary64_2529`
4×	`exp-sum_binary64_2511` `distribute-lft-out_binary64_2416` `associate--r+_binary64_2401`
3×	`unpow1_binary64_2523` `mul-1-neg_binary64_2457`
2×	`unpow2_binary64_2530` `exp-diff_binary64_2513` `difference-of-squares_binary64_2434` `distribute-frac-neg_binary64_2428` `distribute-rgt-out--_binary64_2419` `count-2_binary64_2413` `associate--l+_binary64_2402`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-cbrt-cube_binary64_2489` `rem-square-sqrt_binary64_2477` `remove-double-neg_binary64_2453`
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` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `cancel-sign-sub_binary64_2430` `distribute-neg-out_binary64_2427` `distribute-lft-out--_binary64_2417` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`

Counts

162 → 128

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2509
1	462	2210
2	2130	2208
3	4335	2208
4	5104	2208

prune185.0ms (4.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	128	6	134

Error

0.0b

Counts

134 → 6

Compiler

Compiled 3563 to 1938 computations (45.6% saved)

regimes223.0ms (5%)

Accuracy

Total 0.1b remaining (95.2%)

Threshold costs 0.1b (95.2%)

Compiler

Compiled 2152 to 1435 computations (33.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
9×	`*-commutative_binary64_2396`
8×	`distribute-rgt-neg-in_binary64_2423` `distribute-lft-neg-in_binary64_2422`
6×	`+-commutative_binary64_2395`
5×	`sub-neg_binary64_2458` `*-rgt-identity_binary64_2455` `distribute-rgt-neg-out_binary64_2425`
4×	`*-lft-identity_binary64_2454` `distribute-lft-neg-out_binary64_2424`
3×	`unsub-neg_binary64_2459` `cancel-sign-sub-inv_binary64_2431`
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` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `unpow1_binary64_2523` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-neg-in_binary64_2426`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	24	10
2	42	10
3	52	10
4	55	10
5	70	10
6	69	10
7	67	10

end0.0ms (0%)

sample991.0ms (22.2%)

Algorithm

1×

intervals

Results

188.0ms	8000×	body	128	valid
2.0ms	106×	body	128	invalid

Compiler

Compiled 697 to 465 computations (33.3% saved)

Iter	Nodes	Cost
0	10	20
1	21	20
2	41	20
3	78	20
4	167	20
5	191	20
6	214	20
7	342	20
8	336	20
9	323	20
10	321	20
11	274	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	16	10
2	31	10
3	56	10
4	115	10
5	137	10
6	151	10
7	218	10
8	231	10
9	228	10
10	227	10
11	184	10

Iter	Nodes	Cost
0	10	20
1	21	20
2	41	20
3	78	20
4	167	20
5	191	20
6	214	20
7	342	20
8	336	20
9	323	20
10	321	20
11	274	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	16	10
2	31	10
3	56	10
4	115	10
5	137	10
6	151	10
7	218	10
8	231	10
9	228	10
10	227	10
11	184	10

Details

analyze211.0ms (4.7%)

sample14.0ms (0.3%)

simplify18.0ms (0.4%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite32.0ms (0.7%)

series125.0ms (2.8%)

simplify71.0ms (1.6%)

prune25.0ms (0.6%)

localize8.0ms (0.2%)

rewrite82.0ms (1.8%)

series476.0ms (10.6%)

simplify102.0ms (2.3%)

prune47.0ms (1%)

localize4.0ms (0.1%)

rewrite37.0ms (0.8%)

series216.0ms (4.8%)

simplify108.0ms (2.4%)

prune23.0ms (0.5%)

localize13.0ms (0.3%)

rewrite279.0ms (6.2%)

series1.0s (23.5%)

simplify121.0ms (2.7%)

prune185.0ms (4.1%)

regimes223.0ms (5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample991.0ms (22.2%)

Profiling

Iter	Nodes	Cost
0	10	20
1	21	20
2	41	20
3	78	20
4	167	20
5	191	20
6	214	20
7	342	20
8	336	20
9	323	20
10	321	20
11	274	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	16	10
2	31	10
3	56	10
4	115	10
5	137	10
6	151	10
7	218	10
8	231	10
9	228	10
10	227	10
11	184	10