Details

analyze1.9s (3.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

388×	`associate-+l+_binary64_2398`
318×	`exp-sum_binary64_2511`
296×	`associate-+r+_binary64_2397`
271×	`distribute-rgt-in_binary64_2415`
266×	`distribute-lft-in_binary64_2414`
224×	`associate-r_binary64_2405`
209×	`associate-l_binary64_2406`
206×	`associate-/r/_binary64_2411`
167×	`distribute-rgt-out_binary64_2418`
163×	`exp-diff_binary64_2513`
143×	`sub-neg_binary64_2458`
117×	`+-commutative_binary64_2395`
100×	`distribute-lft-out_binary64_2416`
93×	`distribute-neg-in_binary64_2426`
92×	`div-sub_binary64_2470`
86×	`*-commutative_binary64_2396`
57×	`associate-*r/_binary64_2407`
54×	`associate--l+_binary64_2402` `associate-+r-_binary64_2399`
51×	`associate-*l/_binary64_2408` `associate--l-_binary64_2403`
48×	`associate-+l-_binary64_2400`
36×	`associate--r+_binary64_2401`
32×	`associate-/l/_binary64_2412`
30×	`exp-prod_binary64_2517`
24×	`*-rgt-identity_binary64_2455`
22×	`*-lft-identity_binary64_2454`
21×	`associate-/r*_binary64_2409`
19×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
15×	`associate--r-_binary64_2404`
12×	`times-frac_binary64_2471` `associate-/l*_binary64_2410`
11×	`sqr-pow_binary64_2437`
9×	`unswap-sqr_binary64_2433`
8×	`rec-exp_binary64_2515` `cancel-sign-sub-inv_binary64_2431`
6×	`pow-sqr_binary64_2438`
4×	`div-exp_binary64_2516` `unsub-neg_binary64_2459`
3×	`--rgt-identity_binary64_2451`
2×	`remove-double-neg_binary64_2453` `distribute-lft-neg-in_binary64_2422`
1×	`unpow3_binary64_2531` `exp-neg_binary64_2512` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `cube-unmult_binary64_2502` `/-rgt-identity_binary64_2456` `sub0-neg_binary64_2452` `+-rgt-identity_binary64_2450` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423` `distribute-rgt1-in_binary64_2421`
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` `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` `prod-exp_binary64_2514` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `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` `mul-1-neg_binary64_2457` `+-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` `swap-sqr_binary64_2432` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `count-2_binary64_2413`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	604	119
3	3400	115
4	4793	115
5	4804	115
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
0%	74.9%	25.1%	2
18.7%	56.2%	25.1%	3
37.5%	37.5%	25.1%	4
42.1%	32.8%	25.1%	5
46.8%	28.1%	25.1%	6
48%	26.9%	25.1%	7
49.2%	25.8%	25.1%	8
49.5%	25.5%	25.1%	9
49.8%	25.2%	25.1%	10
49.8%	25.2%	25.1%	11
49.8%	25.1%	25.1%	12
49.9%	25%	25.1%	13
49.9%	25%	25.1%	14

Compiler

Compiled 126 to 112 computations (11.1% saved)

sample1.5s (2.4%)

Algorithm

1×

intervals

Results

1.4s	124×	body	8192	exit
76.0ms	256×	body	128	valid
7.0ms	383×	pre	128	true
1.0ms	3×	body	128	invalid

Compiler

Compiled 249 to 223 computations (10.4% saved)

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-+l+_binary64_2398`
318×	`exp-sum_binary64_2511`
296×	`associate-+r+_binary64_2397`
271×	`distribute-rgt-in_binary64_2415`
266×	`distribute-lft-in_binary64_2414`
224×	`associate-r_binary64_2405`
209×	`associate-l_binary64_2406`
206×	`associate-/r/_binary64_2411`
167×	`distribute-rgt-out_binary64_2418`
163×	`exp-diff_binary64_2513`
143×	`sub-neg_binary64_2458`
117×	`+-commutative_binary64_2395`
100×	`distribute-lft-out_binary64_2416`
93×	`distribute-neg-in_binary64_2426`
92×	`div-sub_binary64_2470`
86×	`*-commutative_binary64_2396`
57×	`associate-*r/_binary64_2407`
54×	`associate--l+_binary64_2402` `associate-+r-_binary64_2399`
51×	`associate-*l/_binary64_2408` `associate--l-_binary64_2403`
48×	`associate-+l-_binary64_2400`
36×	`associate--r+_binary64_2401`
32×	`associate-/l/_binary64_2412`
30×	`exp-prod_binary64_2517`
24×	`*-rgt-identity_binary64_2455`
22×	`*-lft-identity_binary64_2454`
21×	`associate-/r*_binary64_2409`
19×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
15×	`associate--r-_binary64_2404`
12×	`times-frac_binary64_2471` `associate-/l*_binary64_2410`
11×	`sqr-pow_binary64_2437`
9×	`unswap-sqr_binary64_2433`
8×	`rec-exp_binary64_2515` `cancel-sign-sub-inv_binary64_2431`
6×	`pow-sqr_binary64_2438`
4×	`div-exp_binary64_2516` `unsub-neg_binary64_2459`
3×	`--rgt-identity_binary64_2451`
2×	`remove-double-neg_binary64_2453` `distribute-lft-neg-in_binary64_2422`
1×	`unpow3_binary64_2531` `exp-neg_binary64_2512` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `cube-unmult_binary64_2502` `/-rgt-identity_binary64_2456` `sub0-neg_binary64_2452` `+-rgt-identity_binary64_2450` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423` `distribute-rgt1-in_binary64_2421`
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` `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` `prod-exp_binary64_2514` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `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` `mul-1-neg_binary64_2457` `+-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` `swap-sqr_binary64_2432` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `count-2_binary64_2413`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	604	119
3	3400	115
4	4793	115
5	4804	115

prune15.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

1.8b

Counts

2 → 2

Compiler

Compiled 271 to 232 computations (14.4% saved)

localize64.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(-.f64 (-.f64 1 z) 1)
4.4b	(-.f64 (-.f64 1 z) 1)
4.4b	(-.f64 (-.f64 1 z) 1)
4.4b	(-.f64 (-.f64 1 z) 1)

rewrite1.1s (1.8%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

36×	`*-un-lft-identity_binary64_2465`
28×	`add-sqr-sqrt_binary64_2487`
24×	`add-log-exp_binary64_2504` `cancel-sign-sub-inv_binary64_2431`
16×	`associate--l+_binary64_2402`
12×	`diff-log_binary64_2557` `add-cube-cbrt_binary64_2500` `distribute-lft-out--_binary64_2417`
8×	`sub-neg_binary64_2458` `difference-of-squares_binary64_2434`
4×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `flip--_binary64_2440` `difference-of-sqr-1_binary64_2435` `associate--l-_binary64_2403`

Counts

4 → 100

Calls

4 calls:

16.0ms	(-.f64 (-.f64 1 z) 1)
9.0ms	(-.f64 (-.f64 1 z) 1)
9.0ms	(-.f64 (-.f64 1 z) 1)
9.0ms	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 12896 to 10998 computations (14.7% saved)

series270.0ms (0.4%)

Error

1.8b

Counts

4 → 12

Calls

4 calls:

51.0ms	(-.f64 (-.f64 1 z) 1)
51.0ms	(-.f64 (-.f64 1 z) 1)
49.0ms	(-.f64 (-.f64 1 z) 1)
45.0ms	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 4356 to 3833 computations (12% saved)

simplify111.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

547×	`distribute-rgt-in_binary64_2415`
455×	`distribute-lft-in_binary64_2414`
385×	`sub-neg_binary64_2458`
314×	`difference-of-squares_binary64_2434`
305×	`associate-+l+_binary64_2398`
241×	`neg-sub0_binary64_2460`
229×	`neg-mul-1_binary64_2461`
219×	`associate-+r+_binary64_2397`
175×	`sqr-pow_binary64_2437`
138×	`exp-sum_binary64_2511`
137×	`associate-+l-_binary64_2400`
132×	`*-commutative_binary64_2396`
114×	`exp-prod_binary64_2517`
106×	`remove-double-neg_binary64_2453`
105×	`div-sub_binary64_2470` `distribute-lft-neg-out_binary64_2424`
104×	`unswap-sqr_binary64_2433`
102×	`times-frac_binary64_2471`
101×	`distribute-rgt-out_binary64_2418`
100×	`distribute-rgt-neg-out_binary64_2425`
86×	`exp-diff_binary64_2513`
85×	`associate-+r-_binary64_2399`
83×	`cube-prod_binary64_2493`
81×	`associate-l_binary64_2406`
79×	`log-prod_binary64_2551`
78×	`unsub-neg_binary64_2459`
77×	`associate-r_binary64_2405`
65×	`distribute-lft-out_binary64_2416` `associate--l+_binary64_2402`
54×	`cancel-sign-sub-inv_binary64_2431`
47×	`associate--r+_binary64_2401`
44×	`pow-sqr_binary64_2438`
39×	`+-commutative_binary64_2395`
36×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
33×	`distribute-rgt-neg-in_binary64_2423`
32×	`*-rgt-identity_binary64_2455` `distribute-neg-in_binary64_2426`
29×	`swap-sqr_binary64_2432`
27×	`*-lft-identity_binary64_2454`
26×	`associate--l-_binary64_2403`
25×	`distribute-neg-out_binary64_2427`
20×	`difference-of-sqr--1_binary64_2436`
19×	`pow-plus_binary64_2528` `sub0-neg_binary64_2452` `distribute-lft-neg-in_binary64_2422`
16×	`unpow3_binary64_2531` `sqr-neg_binary64_2479`
15×	`div-exp_binary64_2516`
13×	`/-rgt-identity_binary64_2456`
12×	`mul-1-neg_binary64_2457` `associate--r-_binary64_2404`
10×	`cube-unmult_binary64_2502` `cube-mult_binary64_2495` `cancel-sign-sub_binary64_2430` `associate-/l_binary64_2410` `associate-r/_binary64_2407`
9×	`prod-exp_binary64_2514` `distribute-rgt1-in_binary64_2421`
8×	`cube-neg_binary64_2492` `rem-sqrt-square_binary64_2478` `difference-of-sqr-1_binary64_2435`
7×	`associate-/r_binary64_2409` `associate-l/_binary64_2408`
6×	`rec-exp_binary64_2515` `distribute-lft1-in_binary64_2420`
5×	`exp-neg_binary64_2512`
4×	`log-pow_binary64_2554` `associate-/r/_binary64_2411`
3×	`--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `associate-/l/_binary64_2412`
2×	`unpow1/2_binary64_2529` `cube-div_binary64_2494` `rem-3cbrt-lft_binary64_2490`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-cbrt-cube_binary64_2489` `rem-square-sqrt_binary64_2477` `distribute-frac-neg_binary64_2428`
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` `unpow2_binary64_2530` `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` `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-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `+-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-neg-frac_binary64_2429` `count-2_binary64_2413`

Counts

112 → 100

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	1032
1	107	772
2	209	728
3	775	720
4	3390	704
5	4184	704
6	5392	704

prune1.0s (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	100	2	102

Error

1.8b

Counts

102 → 2

Compiler

Compiled 12498 to 10545 computations (15.6% saved)

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
1.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)))
1.0b	(sqrt.f64 (*.f64 PI.f64 2))
2.6b	(+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))

rewrite988.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

45×	`*-un-lft-identity_binary64_2465`
44×	`add-log-exp_binary64_2504` `frac-add_binary64_2473`
31×	`sum-log_binary64_2556` `distribute-lft-out_binary64_2416`
10×	`add-exp-log_binary64_2503`
9×	`pow1_binary64_2526` `add-cbrt-cube_binary64_2501` `flip3-+_binary64_2468` `flip-+_binary64_2439`
7×	`prod-exp_binary64_2514`
5×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`associate-r_binary64_2405`
3×	`cbrt-unprod_binary64_2498`
2×	`associate-+l+_binary64_2398` `+-commutative_binary64_2395` `pow-prod-down_binary64_2536` `sqrt-pow1_binary64_2483`
1×	`pow1/2_binary64_2545` `sqrt-prod_binary64_2481` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `pow-sub_binary64_2541` `associate-r/_binary64_2407` `associate-l/_binary64_2408` `associate-l_binary64_2406` `exp-sum_binary64_2511` `*-commutative_binary64_2396`

Counts

4 → 86

Calls

4 calls:

93.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)))
22.0ms	(+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))
16.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
2.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 10066 to 7936 computations (21.2% saved)

series555.0ms (0.9%)

Error

0.3b

Counts

4 → 22

Calls

4 calls:

287.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
130.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)))
51.0ms	(+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))
0.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 3444 to 2750 computations (20.2% saved)

simplify179.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

638×	`associate-l_binary64_2406`
503×	`associate-r_binary64_2405`
368×	`distribute-rgt-in_binary64_2415`
340×	`distribute-lft-in_binary64_2414`
215×	`*-commutative_binary64_2396`
90×	`+-commutative_binary64_2395`
76×	`associate-*r/_binary64_2407`
65×	`associate-*l/_binary64_2408`
63×	`sub-neg_binary64_2458`
54×	`cancel-sign-sub-inv_binary64_2431`
47×	`sqr-pow_binary64_2437`
33×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
29×	`distribute-neg-frac_binary64_2429` `distribute-rgt-neg-in_binary64_2423`
22×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `distribute-neg-in_binary64_2426`
20×	`prod-exp_binary64_2514` `associate-/l*_binary64_2410`
17×	`distribute-rgt-out_binary64_2418`
15×	`distribute-lft-neg-in_binary64_2422` `associate-+r+_binary64_2397`
14×	`distribute-lft-neg-out_binary64_2424`
10×	`exp-prod_binary64_2517` `associate--l+_binary64_2402`
9×	`log-prod_binary64_2551`
8×	`exp-sum_binary64_2511` `swap-sqr_binary64_2432` `distribute-rgt-out--_binary64_2419` `associate-+l+_binary64_2398`
7×	`cube-div_binary64_2494` `associate-+r-_binary64_2399`
6×	`cube-unmult_binary64_2502` `difference-of-squares_binary64_2434`
3×	`unswap-sqr_binary64_2433`
2×	`log-pow_binary64_2554` `unpow2_binary64_2530` `unpow1_binary64_2523` `-rgt-identity_binary64_2455` `pow-sqr_binary64_2438` `associate-/r_binary64_2409` `associate--r+_binary64_2401`
1×	`log-div_binary64_2552` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `exp-diff_binary64_2513` `1-exp_binary64_2509` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `div-sub_binary64_2470` `distribute-lft-out--_binary64_2417` `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-rec_binary64_2553` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `pow-plus_binary64_2528` `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` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `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` `times-frac_binary64_2471` `unsub-neg_binary64_2459` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-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` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-lft-out_binary64_2416` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate-+l-_binary64_2400`

Counts

108 → 86

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	508	8619
1	1402	8306
2	5189	8306

prune785.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	83	5	88

Error

0.2b

Counts

88 → 5

Compiler

Compiled 10103 to 7945 computations (21.4% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))
0.4b	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
1.0b	(sqrt.f64 (*.f64 PI.f64 2))

rewrite270.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-exp-log_binary64_2503`
16×	`add-cbrt-cube_binary64_2501`
15×	`add-sqr-sqrt_binary64_2487`
14×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
10×	`prod-exp_binary64_2514`
9×	`times-frac_binary64_2471`
7×	`associate-r_binary64_2405`
6×	`cbrt-unprod_binary64_2498`
5×	`pow-prod-down_binary64_2536`
4×	`add-log-exp_binary64_2504`
3×	`associate-/l_binary64_2410` `associate-/r_binary64_2409`
2×	`sqrt-pow1_binary64_2483` `associate-l_binary64_2406` `*-commutative_binary64_2396`
1×	`pow1/2_binary64_2545` `sqrt-prod_binary64_2481` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `pow-sub_binary64_2541` `associate-r/_binary64_2407` `associate-l/_binary64_2408` `exp-sum_binary64_2511` `unswap-sqr_binary64_2433` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

4 → 78

Calls

4 calls:

18.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
6.0ms	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
4.0ms	(/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))
2.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 3848 to 2484 computations (35.4% saved)

series413.0ms (0.7%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

281.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
55.0ms	(/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))
41.0ms	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
0.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 1811 to 1419 computations (21.6% saved)

simplify134.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

310×	`associate-l_binary64_2406`
270×	`cancel-sign-sub-inv_binary64_2431`
258×	`associate-r_binary64_2405`
216×	`associate-/l*_binary64_2410`
187×	`unswap-sqr_binary64_2433`
158×	`*-commutative_binary64_2396`
153×	`associate-*r/_binary64_2407`
138×	`associate-*l/_binary64_2408`
137×	`exp-prod_binary64_2517`
134×	`times-frac_binary64_2471`
128×	`sub-neg_binary64_2458`
126×	`associate-+l+_binary64_2398`
123×	`log-prod_binary64_2551`
118×	`sqr-pow_binary64_2437`
80×	`associate-+r+_binary64_2397`
70×	`+-commutative_binary64_2395`
69×	`distribute-rgt-neg-in_binary64_2423`
66×	`prod-exp_binary64_2514`
65×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `distribute-lft-neg-in_binary64_2422`
62×	`cube-prod_binary64_2493`
58×	`exp-sum_binary64_2511` `associate--l+_binary64_2402`
55×	`swap-sqr_binary64_2432`
53×	`distribute-neg-frac_binary64_2429`
48×	`associate-/l/_binary64_2412`
43×	`log-div_binary64_2552`
40×	`distribute-lft-out_binary64_2416`
39×	`unpow3_binary64_2531`
36×	`associate-/r*_binary64_2409`
34×	`unsub-neg_binary64_2459`
31×	`log-pow_binary64_2554`
28×	`pow-sqr_binary64_2438`
26×	`*-lft-identity_binary64_2454`
25×	`*-rgt-identity_binary64_2455`
24×	`distribute-lft-out--_binary64_2417`
23×	`distribute-rgt-out_binary64_2418`
22×	`associate-+l-_binary64_2400`
20×	`cube-div_binary64_2494` `associate-/r/_binary64_2411`
19×	`associate-+r-_binary64_2399`
18×	`associate--r+_binary64_2401`
13×	`cube-unmult_binary64_2502`
12×	`exp-diff_binary64_2513` `div-sub_binary64_2470` `distribute-rgt-out--_binary64_2419`
11×	`cube-mult_binary64_2495`
10×	`unpow1/2_binary64_2529` `pow-plus_binary64_2528` `exp-to-pow_binary64_2527`
9×	`+-rgt-identity_binary64_2450`
8×	`distribute-rgt-in_binary64_2415`
7×	`div-exp_binary64_2516`
6×	`log-rec_binary64_2553` `/-rgt-identity_binary64_2456` `distribute-lft-in_binary64_2414`
5×	`rem-log-exp_binary64_2506` `sub0-neg_binary64_2452` `distribute-lft-neg-out_binary64_2424`
4×	`rem-sqrt-square_binary64_2478` `count-2_binary64_2413`
3×	`unpow2_binary64_2530` `unpow1_binary64_2523`
2×	`exp-sqrt_binary64_2518` `rec-exp_binary64_2515` `exp-neg_binary64_2512` `rem-exp-log_binary64_2505` `distribute-neg-in_binary64_2426` `distribute-rgt-neg-out_binary64_2425` `associate--l-_binary64_2403`
1×	`log-E_binary64_2555` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-square-sqrt_binary64_2477` `cancel-sign-sub_binary64_2430` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `associate--r-_binary64_2404`
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` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `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` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `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` `mul-1-neg_binary64_2457` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427`

Counts

90 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	1924
1	477	1715
2	1609	1669
3	3403	1669
4	4841	1669
5	4951	1669

prune148.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	47	7	54

Error

0.0b

Counts

54 → 7

Compiler

Compiled 2640 to 1821 computations (31% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
0.4b	(.f64 1/6 (.f64 z (pow.f64 PI.f64 2)))
1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
1.0b	(sqrt.f64 (*.f64 PI.f64 2))

rewrite263.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-exp-log_binary64_2503`
19×	`add-cbrt-cube_binary64_2501`
17×	`prod-exp_binary64_2514`
16×	`pow1_binary64_2526`
9×	`cbrt-unprod_binary64_2498`
8×	`add-sqr-sqrt_binary64_2487` `associate-r_binary64_2405`
7×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`pow-prod-down_binary64_2536`
5×	`associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504`
3×	`*-commutative_binary64_2396`
2×	`sqrt-pow1_binary64_2483` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
1×	`pow1/2_binary64_2545` `sqrt-prod_binary64_2481` `pow-sub_binary64_2541` `associate-r/_binary64_2407` `associate-l/_binary64_2408` `exp-sum_binary64_2511` `unswap-sqr_binary64_2433`

Counts

4 → 70

Calls

4 calls:

17.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
6.0ms	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
6.0ms	(.f64 1/6 (.f64 z (pow.f64 PI.f64 2)))
3.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 3767 to 2836 computations (24.7% saved)

series409.0ms (0.7%)

Error

0.0b

Counts

4 → 11

Calls

4 calls:

266.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
61.0ms	(.f64 1/6 (.f64 z (pow.f64 PI.f64 2)))
49.0ms	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
0.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 1863 to 1514 computations (18.7% saved)

simplify124.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

367×	`associate-l_binary64_2406`
319×	`associate-r_binary64_2405`
292×	`unswap-sqr_binary64_2433`
266×	`cancel-sign-sub-inv_binary64_2431`
179×	`*-commutative_binary64_2396`
174×	`distribute-rgt-neg-in_binary64_2423`
165×	`exp-prod_binary64_2517`
148×	`log-prod_binary64_2551`
143×	`sqr-pow_binary64_2437`
132×	`associate-+l+_binary64_2398`
115×	`sub-neg_binary64_2458`
101×	`associate-*r/_binary64_2407`
87×	`associate-+r+_binary64_2397`
77×	`cube-prod_binary64_2493`
74×	`+-commutative_binary64_2395`
73×	`associate-*l/_binary64_2408`
70×	`swap-sqr_binary64_2432`
66×	`prod-exp_binary64_2514`
64×	`distribute-lft-neg-in_binary64_2422`
61×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
58×	`exp-sum_binary64_2511` `associate--l+_binary64_2402`
45×	`unpow3_binary64_2531`
40×	`distribute-lft-out_binary64_2416`
34×	`unsub-neg_binary64_2459` `associate-/l*_binary64_2410`
32×	`log-pow_binary64_2554`
31×	`log-div_binary64_2552` `pow-sqr_binary64_2438`
24×	`distribute-lft-out--_binary64_2417`
23×	`distribute-rgt-out_binary64_2418`
22×	`*-lft-identity_binary64_2454`
20×	`*-rgt-identity_binary64_2455` `associate-+l-_binary64_2400`
19×	`distribute-neg-in_binary64_2426`
18×	`associate--r+_binary64_2401`
17×	`cube-mult_binary64_2495` `associate-+r-_binary64_2399`
16×	`cube-div_binary64_2494`
15×	`cube-unmult_binary64_2502`
14×	`pow-plus_binary64_2528`
12×	`exp-to-pow_binary64_2527` `exp-diff_binary64_2513` `distribute-rgt-out--_binary64_2419`
10×	`unpow1/2_binary64_2529`
8×	`div-sub_binary64_2470` `+-rgt-identity_binary64_2450` `distribute-rgt-in_binary64_2415`
7×	`div-exp_binary64_2516`
6×	`distribute-lft-in_binary64_2414`
5×	`rem-log-exp_binary64_2506` `distribute-lft-neg-out_binary64_2424`
4×	`log-rec_binary64_2553` `rem-sqrt-square_binary64_2478` `sub0-neg_binary64_2452` `count-2_binary64_2413`
3×	`unpow2_binary64_2530` `unpow1_binary64_2523` `distribute-neg-frac_binary64_2429`
2×	`exp-sqrt_binary64_2518` `exp-neg_binary64_2512` `rem-exp-log_binary64_2505` `times-frac_binary64_2471` `/-rgt-identity_binary64_2456` `distribute-rgt-neg-out_binary64_2425` `associate-/l/_binary64_2412`
1×	`log-E_binary64_2555` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-square-sqrt_binary64_2477` `cancel-sign-sub_binary64_2430` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `associate--r-_binary64_2404`
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` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `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` `rec-exp_binary64_2515` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `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` `mul-1-neg_binary64_2457` `remove-double-neg_binary64_2453` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `associate-/r/_binary64_2411` `associate-/r_binary64_2409` `associate--l-_binary64_2403`

Counts

81 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	1635
1	466	1433
2	1685	1387
3	3173	1387
4	4812	1387
5	4924	1387

prune145.0ms (0.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	49	7	56

Error

0.0b

Counts

56 → 7

Compiler

Compiled 2557 to 1949 computations (23.8% saved)

regimes856.0ms (1.4%)

Accuracy

Total 0.5b remaining (88.8%)

Threshold costs 0.5b (88.8%)

Compiler

Compiled 10898 to 8800 computations (19.3% saved)

bsearch0.0ms (0%)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64_2396`
13×	`+-commutative_binary64_2395`
11×	`sub-neg_binary64_2458`
1×	`1-exp_binary64_2509` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
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	70	133
1	98	133
2	111	133
3	113	133
4	114	133
5	113	133

end0.0ms (0%)

sample49.6s (81.2%)

Algorithm

1×

intervals

Results

42.3s	3832×	body	8192	exit
2.4s	8000×	body	128	valid
216.0ms	11923×	pre	128	true
32.0ms	91×	body	128	invalid

Compiler

Compiled 5534 to 4472 computations (19.2% saved)

Details

analyze1.9s (3.1%)

sample1.5s (2.4%)

simplify58.0ms (0.1%)

prune15.0ms (0%)

localize64.0ms (0.1%)

rewrite1.1s (1.8%)

series270.0ms (0.4%)

simplify111.0ms (0.2%)

prune1.0s (1.7%)

localize59.0ms (0.1%)

rewrite988.0ms (1.6%)

series555.0ms (0.9%)

simplify179.0ms (0.3%)

prune785.0ms (1.3%)

localize33.0ms (0.1%)

rewrite270.0ms (0.4%)

series413.0ms (0.7%)

simplify134.0ms (0.2%)

prune148.0ms (0.2%)

localize41.0ms (0.1%)

rewrite263.0ms (0.4%)

series409.0ms (0.7%)

simplify124.0ms (0.2%)

prune145.0ms (0.2%)

regimes856.0ms (1.4%)

bsearch0.0ms (0%)

simplify10.0ms (0%)

end0.0ms (0%)

sample49.6s (81.2%)

Profiling