Details

analyze661.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

756×	`neg-mul-1_binary64_2461`
741×	`neg-sub0_binary64_2460`
638×	`associate-/l*_binary64_2410`
470×	`distribute-frac-neg_binary64_2428`
468×	`div-sub_binary64_2470`
448×	`unsub-neg_binary64_2459`
352×	`sub-neg_binary64_2458`
260×	`distribute-rgt-in_binary64_2415`
256×	`times-frac_binary64_2471`
236×	`distribute-lft-neg-out_binary64_2424`
234×	`distribute-rgt-neg-out_binary64_2425`
198×	`distribute-lft-in_binary64_2414` `associate-*l/_binary64_2408`
187×	`associate-l_binary64_2406`
177×	`cancel-sign-sub-inv_binary64_2431`
173×	`associate-*r/_binary64_2407`
172×	`distribute-neg-frac_binary64_2429`
170×	`associate-r_binary64_2405`
155×	`associate-/r/_binary64_2411`
149×	`associate-/r*_binary64_2409`
122×	`*-lft-identity_binary64_2454`
117×	`associate-/l/_binary64_2412`
103×	`*-rgt-identity_binary64_2455`
97×	`*-commutative_binary64_2396`
90×	`remove-double-neg_binary64_2453`
82×	`distribute-rgt-neg-in_binary64_2423`
78×	`cancel-sign-sub_binary64_2430`
77×	`/-rgt-identity_binary64_2456`
53×	`div0_binary64_2446`
44×	`distribute-rgt-out_binary64_2418` `associate--r+_binary64_2401` `+-commutative_binary64_2395`
42×	`distribute-lft-neg-in_binary64_2422`
40×	`distribute-rgt-out--_binary64_2419`
34×	`+-lft-identity_binary64_2449`
32×	`associate-+l-_binary64_2400` `associate-+r+_binary64_2397`
29×	`distribute-neg-in_binary64_2426`
28×	`sub0-neg_binary64_2452` `distribute-neg-out_binary64_2427`
24×	`associate-+r-_binary64_2399`
22×	`associate-+l+_binary64_2398`
19×	`+-rgt-identity_binary64_2450`
17×	`remove-double-div_binary64_2441`
16×	`difference-of-squares_binary64_2434`
15×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
12×	`distribute-lft-out_binary64_2416`
10×	`associate--r-_binary64_2404`
8×	`associate--l+_binary64_2402`
6×	`swap-sqr_binary64_2432`
4×	`associate--l-_binary64_2403`
3×	`sqr-neg_binary64_2479` `--rgt-identity_binary64_2451`
2×	`mul-1-neg_binary64_2457`
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` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `pow-sqr_binary64_2438` `sqr-pow_binary64_2437` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `unswap-sqr_binary64_2433` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-lft-out--_binary64_2417` `count-2_binary64_2413`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	208
1	161	200
2	483	200
3	1371	192
4	2735	192
5	3995	192
6	4316	192
7	4707	192
8	5013	192
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample64.0ms (0.4%)

Algorithm

1×

intervals

Results

44.0ms	249×	body	256	valid
4.0ms	43×	body	128	nan
1.0ms	7×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify234.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-/l*_binary64_2410`
634×	`div-sub_binary64_2470`
582×	`unsub-neg_binary64_2459`
519×	`sub-neg_binary64_2458`
502×	`times-frac_binary64_2471`
356×	`distribute-rgt-out--_binary64_2419`
307×	`neg-mul-1_binary64_2461`
295×	`distribute-rgt-neg-in_binary64_2423`
286×	`associate-/l/_binary64_2412`
280×	`neg-sub0_binary64_2460`
252×	`associate-/r/_binary64_2411`
250×	`distribute-lft-neg-out_binary64_2424`
246×	`distribute-neg-out_binary64_2427`
212×	`associate-/r_binary64_2409` `-commutative_binary64_2396`
210×	`+-commutative_binary64_2395`
208×	`distribute-rgt-out_binary64_2418`
203×	`distribute-rgt-in_binary64_2415`
199×	`distribute-rgt-neg-out_binary64_2425`
186×	`distribute-neg-frac_binary64_2429`
160×	`associate-*r/_binary64_2407`
145×	`cancel-sign-sub-inv_binary64_2431`
137×	`associate-*l/_binary64_2408`
133×	`distribute-neg-in_binary64_2426`
123×	`distribute-lft-in_binary64_2414`
113×	`associate-+l+_binary64_2398`
106×	`distribute-lft-out--_binary64_2417`
100×	`distribute-frac-neg_binary64_2428`
98×	`associate-+l-_binary64_2400`
90×	`associate-l_binary64_2406`
81×	`associate-+r+_binary64_2397`
78×	`associate-r_binary64_2405` `associate--r-_binary64_2404`
63×	`associate--r+_binary64_2401`
59×	`distribute-lft-neg-in_binary64_2422`
46×	`*-lft-identity_binary64_2454`
44×	`associate-+r-_binary64_2399`
43×	`*-rgt-identity_binary64_2455` `distribute-lft-out_binary64_2416`
35×	`remove-double-neg_binary64_2453` `sub0-neg_binary64_2452`
34×	`associate--l+_binary64_2402`
27×	`mul0-rgt_binary64_2448` `swap-sqr_binary64_2432`
25×	`mul0-lft_binary64_2447`
24×	`distribute-rgt1-in_binary64_2421`
23×	`associate--l-_binary64_2403`
20×	`mul-1-neg_binary64_2457`
18×	`div0_binary64_2446`
14×	`cancel-sign-sub_binary64_2430`
9×	`+-lft-identity_binary64_2449`
6×	`+-rgt-identity_binary64_2450`
5×	`sqr-neg_binary64_2479`
4×	`/-rgt-identity_binary64_2456` `--rgt-identity_binary64_2451` `+-inverses_binary64_2444`
2×	`difference-of-squares_binary64_2434` `distribute-lft1-in_binary64_2420`
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` `*-inverses_binary64_2445` `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` `unswap-sqr_binary64_2433` `count-2_binary64_2413`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	53	50
2	139	50
3	381	48
4	735	48
5	1189	48
6	1409	48
7	1893	48
8	1853	48
9	2235	48
10	2889	48
11	3457	48
12	3639	48
13	3749	48
14	3797	48
15	3821	48
16	3871	48
17	4858	48
18	4799	48
19	4980	48
20	4834	48

prune7.0ms (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

35.1b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite266.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

31.6b

Rules

10×	`cbrt-div_binary64_2497`
8×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `sqrt-div_binary64_2482` `flip--_binary64_2440` `frac-times_binary64_2475` `associate-*r/_binary64_2407`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `difference-of-squares_binary64_2434` `rem-sqrt-square_binary64_2478` `pow1/3_binary64_2547` `associate-*l/_binary64_2408` `cbrt-prod_binary64_2496` `flip3-+_binary64_2468` `flip-+_binary64_2439`

Counts

4 → 60

Calls

4 calls:

17.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
15.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2902 to 1013 computations (65.1% saved)

series1.6s (9.5%)

Error

31.6b

Counts

4 → 37

Calls

4 calls:

735.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
587.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
96.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
86.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4154 to 3095 computations (25.5% saved)

simplify105.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

943×	`times-frac_binary64_2471`
272×	`distribute-rgt-in_binary64_2415`
269×	`distribute-lft-in_binary64_2414`
121×	`distribute-rgt-neg-out_binary64_2425`
114×	`cancel-sign-sub-inv_binary64_2431`
113×	`distribute-lft-neg-out_binary64_2424`
111×	`sub-neg_binary64_2458`
104×	`*-commutative_binary64_2396`
103×	`associate-r_binary64_2405`
97×	`div-sub_binary64_2470`
91×	`associate-l_binary64_2406`
72×	`unsub-neg_binary64_2459`
66×	`log-prod_binary64_2551`
64×	`sqr-pow_binary64_2437`
63×	`exp-sum_binary64_2511`
59×	`distribute-rgt-neg-in_binary64_2423`
58×	`neg-sub0_binary64_2460`
52×	`distribute-lft-neg-in_binary64_2422`
51×	`neg-mul-1_binary64_2461`
50×	`exp-prod_binary64_2517`
44×	`unswap-sqr_binary64_2433`
40×	`distribute-neg-out_binary64_2427`
39×	`distribute-rgt-out_binary64_2418`
38×	`distribute-frac-neg_binary64_2428`
37×	`+-commutative_binary64_2395`
32×	`unpow1/3_binary64_2532`
30×	`associate-/l*_binary64_2410`
28×	`exp-diff_binary64_2513`
27×	`log-div_binary64_2552`
26×	`associate-/r*_binary64_2409`
25×	`associate-*l/_binary64_2408`
24×	`difference-of-squares_binary64_2434`
22×	`exp-to-pow_binary64_2527`
21×	`associate-*r/_binary64_2407`
19×	`cube-prod_binary64_2493`
18×	`distribute-neg-in_binary64_2426`
17×	`*-lft-identity_binary64_2454`
16×	`pow-sqr_binary64_2438` `distribute-lft-out_binary64_2416` `associate-+l-_binary64_2400`
13×	`*-rgt-identity_binary64_2455`
12×	`distribute-rgt-out--_binary64_2419` `associate-+r-_binary64_2399`
9×	`unpow3_binary64_2531` `associate-+l+_binary64_2398`
8×	`pow-plus_binary64_2528` `associate-+r+_binary64_2397`
6×	`remove-double-neg_binary64_2453` `associate--r-_binary64_2404` `associate--l-_binary64_2403`
5×	`log-pow_binary64_2554` `cube-unmult_binary64_2502`
4×	`log-rec_binary64_2553` `exp-neg_binary64_2512` `cube-mult_binary64_2495` `cube-neg_binary64_2492` `mul-1-neg_binary64_2457` `swap-sqr_binary64_2432` `distribute-neg-frac_binary64_2429`
3×	`sqr-neg_binary64_2479` `associate-/r/_binary64_2411`
2×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `rem-3cbrt-lft_binary64_2490` `rem-sqrt-square_binary64_2478` `sub0-neg_binary64_2452` `+-rgt-identity_binary64_2450` `cancel-sign-sub_binary64_2430`
1×	`exp-lft-sqr_binary64_2520` `1-exp_binary64_2509` `rem-square-sqrt_binary64_2477` `/-rgt-identity_binary64_2456` `--rgt-identity_binary64_2451` `+-inverses_binary64_2444` `distribute-rgt1-in_binary64_2421` `distribute-lft-out--_binary64_2417` `associate--l+_binary64_2402` `associate--r+_binary64_2401`
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` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `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` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413` `associate-/l/_binary64_2412`

Counts

97 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	230	2254
1	559	2186
2	1601	2086
3	4894	2046
4	4928	2046

prune261.0ms (1.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	54	15	69
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	55	16	71

Error

31.2b

Counts

71 → 16

Compiler

Compiled 3311 to 1508 computations (54.5% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
8.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite285.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

31.2b

Rules

8×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
5×	`flip3--_binary64_2469` `flip--_binary64_2440` `cbrt-div_binary64_2497`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `frac-times_binary64_2475` `associate-*r/_binary64_2407`
1×	`pow1/3_binary64_2547` `associate-*l/_binary64_2408` `cbrt-prod_binary64_2496` `diff-log_binary64_2557` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 59

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2610 to 888 computations (66% saved)

series1.1s (6.3%)

Error

30.5b

Counts

4 → 38

Calls

4 calls:

594.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
167.0ms	(-.f64 (.f64 g g) (.f64 h h))
96.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
87.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3258 to 2414 computations (25.9% saved)

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary64_2406`
428×	`associate-r_binary64_2405`
239×	`distribute-rgt-in_binary64_2415`
237×	`distribute-lft-in_binary64_2414`
226×	`exp-sum_binary64_2511`
167×	`exp-prod_binary64_2517`
160×	`*-commutative_binary64_2396`
122×	`exp-diff_binary64_2513`
112×	`times-frac_binary64_2471`
95×	`distribute-rgt-neg-out_binary64_2425`
93×	`distribute-lft-neg-out_binary64_2424`
89×	`log-prod_binary64_2551`
82×	`associate-/l*_binary64_2410`
81×	`sub-neg_binary64_2458`
74×	`cancel-sign-sub-inv_binary64_2431`
66×	`associate-+r-_binary64_2399`
57×	`associate-*l/_binary64_2408`
56×	`sqr-pow_binary64_2437`
54×	`div-sub_binary64_2470`
51×	`distribute-rgt-neg-in_binary64_2423`
50×	`associate-+r+_binary64_2397`
48×	`unsub-neg_binary64_2459`
47×	`neg-sub0_binary64_2460` `distribute-lft-neg-in_binary64_2422`
44×	`log-div_binary64_2552` `unswap-sqr_binary64_2433` `associate-+l-_binary64_2400`
43×	`neg-mul-1_binary64_2461`
42×	`associate-/r*_binary64_2409`
39×	`associate-*r/_binary64_2407`
38×	`associate-+l+_binary64_2398`
33×	`distribute-neg-out_binary64_2427` `distribute-rgt-out_binary64_2418`
27×	`+-commutative_binary64_2395`
23×	`difference-of-squares_binary64_2434`
22×	`cube-prod_binary64_2493`
21×	`exp-neg_binary64_2512` `associate--r-_binary64_2404`
19×	`exp-to-pow_binary64_2527`
18×	`unpow1/3_binary64_2532`
16×	`associate--r+_binary64_2401`
15×	`distribute-neg-in_binary64_2426` `associate--l-_binary64_2403`
14×	`unpow3_binary64_2531` `pow-sqr_binary64_2438` `associate--l+_binary64_2402`
13×	`distribute-frac-neg_binary64_2428`
12×	`pow-plus_binary64_2528`
10×	`*-lft-identity_binary64_2454` `swap-sqr_binary64_2432` `distribute-lft-out_binary64_2416`
8×	`associate-/r/_binary64_2411`
7×	`*-rgt-identity_binary64_2455`
5×	`log-pow_binary64_2554` `log-rec_binary64_2553` `cube-unmult_binary64_2502` `cube-neg_binary64_2492` `remove-double-neg_binary64_2453` `distribute-rgt-out--_binary64_2419`
4×	`cube-mult_binary64_2495` `sqr-neg_binary64_2479` `+-rgt-identity_binary64_2450` `distribute-neg-frac_binary64_2429`
3×	`mul-1-neg_binary64_2457`
2×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `rem-sqrt-square_binary64_2478` `sub0-neg_binary64_2452` `associate-/l/_binary64_2412`
1×	`div-exp_binary64_2516` `prod-exp_binary64_2514` `1-exp_binary64_2509` `rem-3cbrt-lft_binary64_2490` `rem-square-sqrt_binary64_2477` `/-rgt-identity_binary64_2456` `+-inverses_binary64_2444` `cancel-sign-sub_binary64_2430` `distribute-rgt1-in_binary64_2421` `count-2_binary64_2413`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `pow-base-0_binary64_2549` `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-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `distribute-lft1-in_binary64_2420` `distribute-lft-out--_binary64_2417`

Counts

97 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1720
1	386	1615
2	1095	1574
3	4260	1560
4	4980	1560

prune248.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	68	13	81

Error

30.3b

Counts

81 → 13

Compiler

Compiled 2540 to 1124 computations (55.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
8.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite313.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

8×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
5×	`flip3--_binary64_2469` `flip--_binary64_2440` `cbrt-div_binary64_2497`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `frac-times_binary64_2475` `associate-*r/_binary64_2407`
1×	`pow1/3_binary64_2547` `associate-*l/_binary64_2408` `cbrt-prod_binary64_2496` `diff-log_binary64_2557` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 59

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2781 to 1059 computations (61.9% saved)

series1.0s (6.2%)

Error

30.3b

Counts

4 → 38

Calls

4 calls:

591.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
154.0ms	(-.f64 (.f64 g g) (.f64 h h))
95.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
86.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3528 to 2684 computations (23.9% saved)

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary64_2406`
428×	`associate-r_binary64_2405`
239×	`distribute-rgt-in_binary64_2415`
237×	`distribute-lft-in_binary64_2414`
226×	`exp-sum_binary64_2511`
167×	`exp-prod_binary64_2517`
160×	`*-commutative_binary64_2396`
122×	`exp-diff_binary64_2513`
112×	`times-frac_binary64_2471`
95×	`distribute-rgt-neg-out_binary64_2425`
93×	`distribute-lft-neg-out_binary64_2424`
89×	`log-prod_binary64_2551`
82×	`associate-/l*_binary64_2410`
81×	`sub-neg_binary64_2458`
74×	`cancel-sign-sub-inv_binary64_2431`
66×	`associate-+r-_binary64_2399`
57×	`associate-*l/_binary64_2408`
56×	`sqr-pow_binary64_2437`
54×	`div-sub_binary64_2470`
51×	`distribute-rgt-neg-in_binary64_2423`
50×	`associate-+r+_binary64_2397`
48×	`unsub-neg_binary64_2459`
47×	`neg-sub0_binary64_2460` `distribute-lft-neg-in_binary64_2422`
44×	`log-div_binary64_2552` `unswap-sqr_binary64_2433` `associate-+l-_binary64_2400`
43×	`neg-mul-1_binary64_2461`
42×	`associate-/r*_binary64_2409`
39×	`associate-*r/_binary64_2407`
38×	`associate-+l+_binary64_2398`
33×	`distribute-neg-out_binary64_2427` `distribute-rgt-out_binary64_2418`
27×	`+-commutative_binary64_2395`
23×	`difference-of-squares_binary64_2434`
22×	`cube-prod_binary64_2493`
21×	`exp-neg_binary64_2512` `associate--r-_binary64_2404`
19×	`exp-to-pow_binary64_2527`
18×	`unpow1/3_binary64_2532`
16×	`associate--r+_binary64_2401`
15×	`distribute-neg-in_binary64_2426` `associate--l-_binary64_2403`
14×	`unpow3_binary64_2531` `pow-sqr_binary64_2438` `associate--l+_binary64_2402`
13×	`distribute-frac-neg_binary64_2428`
12×	`pow-plus_binary64_2528`
10×	`*-lft-identity_binary64_2454` `swap-sqr_binary64_2432` `distribute-lft-out_binary64_2416`
8×	`associate-/r/_binary64_2411`
7×	`*-rgt-identity_binary64_2455`
5×	`log-pow_binary64_2554` `log-rec_binary64_2553` `cube-unmult_binary64_2502` `cube-neg_binary64_2492` `remove-double-neg_binary64_2453` `distribute-rgt-out--_binary64_2419`
4×	`cube-mult_binary64_2495` `sqr-neg_binary64_2479` `+-rgt-identity_binary64_2450` `distribute-neg-frac_binary64_2429`
3×	`mul-1-neg_binary64_2457`
2×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `rem-sqrt-square_binary64_2478` `sub0-neg_binary64_2452` `associate-/l/_binary64_2412`
1×	`div-exp_binary64_2516` `prod-exp_binary64_2514` `1-exp_binary64_2509` `rem-3cbrt-lft_binary64_2490` `rem-square-sqrt_binary64_2477` `/-rgt-identity_binary64_2456` `+-inverses_binary64_2444` `cancel-sign-sub_binary64_2430` `distribute-rgt1-in_binary64_2421` `count-2_binary64_2413`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `pow-base-0_binary64_2549` `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-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `distribute-lft1-in_binary64_2420` `distribute-lft-out--_binary64_2417`

Counts

97 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1720
1	386	1615
2	1095	1574
3	4260	1560
4	4980	1560

prune279.0ms (1.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	64	14	78

Error

30.3b

Counts

78 → 14

Compiler

Compiled 2725 to 1308 computations (52% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
6.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite323.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

8×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
5×	`cbrt-div_binary64_2497`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `flip3-+_binary64_2468` `frac-times_binary64_2475` `flip-+_binary64_2439` `associate-*r/_binary64_2407`
1×	`pow1/3_binary64_2547` `associate-*l/_binary64_2408` `cbrt-prod_binary64_2496` `diff-log_binary64_2557` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 59

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2667 to 899 computations (66.3% saved)

series1.2s (7.1%)

Error

30.3b

Counts

4 → 40

Calls

4 calls:

733.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
158.0ms	(-.f64 (.f64 g g) (.f64 h h))
93.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
83.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3696 to 2695 computations (27.1% saved)

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

932×	`times-frac_binary64_2471`
322×	`associate-/l*_binary64_2410`
233×	`distribute-rgt-in_binary64_2415`
228×	`distribute-lft-in_binary64_2414`
113×	`distribute-rgt-neg-out_binary64_2425`
111×	`distribute-lft-neg-out_binary64_2424`
91×	`sub-neg_binary64_2458`
83×	`cancel-sign-sub-inv_binary64_2431`
80×	`associate-r_binary64_2405`
77×	`div-sub_binary64_2470`
76×	`associate-l_binary64_2406`
74×	`*-commutative_binary64_2396`
64×	`exp-prod_binary64_2517`
56×	`log-prod_binary64_2551` `sqr-pow_binary64_2437`
54×	`distribute-rgt-neg-in_binary64_2423`
52×	`neg-sub0_binary64_2460` `unsub-neg_binary64_2459` `unswap-sqr_binary64_2433`
47×	`exp-sum_binary64_2511` `neg-mul-1_binary64_2461`
44×	`distribute-lft-neg-in_binary64_2422`
36×	`associate-/r/_binary64_2411`
34×	`distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427`
30×	`distribute-rgt-out_binary64_2418`
28×	`log-div_binary64_2552` `+-commutative_binary64_2395`
23×	`exp-diff_binary64_2513`
22×	`cube-prod_binary64_2493` `difference-of-squares_binary64_2434` `associate-/r*_binary64_2409`
20×	`associate-*l/_binary64_2408`
18×	`associate-*r/_binary64_2407`
15×	`pow-sqr_binary64_2438`
14×	`distribute-neg-in_binary64_2426`
13×	`*-lft-identity_binary64_2454`
12×	`distribute-rgt-out--_binary64_2419`
11×	`swap-sqr_binary64_2432` `associate-+l-_binary64_2400`
10×	`*-rgt-identity_binary64_2455`
9×	`associate-+r-_binary64_2399`
8×	`unpow1/3_binary64_2532` `exp-neg_binary64_2512` `distribute-lft-out_binary64_2416`
7×	`unpow3_binary64_2531` `exp-to-pow_binary64_2527`
5×	`log-pow_binary64_2554` `cube-unmult_binary64_2502` `cube-neg_binary64_2492` `remove-double-neg_binary64_2453` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate-+l+_binary64_2398`
4×	`log-rec_binary64_2553` `pow-plus_binary64_2528` `cube-mult_binary64_2495` `sqr-neg_binary64_2479` `distribute-neg-frac_binary64_2429` `associate-+r+_binary64_2397`
3×	`mul-1-neg_binary64_2457` `+-rgt-identity_binary64_2450`
2×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `rem-sqrt-square_binary64_2478` `sub0-neg_binary64_2452` `cancel-sign-sub_binary64_2430` `associate-/l/_binary64_2412`
1×	`exp-lft-sqr_binary64_2520` `div-exp_binary64_2516` `1-exp_binary64_2509` `rem-3cbrt-lft_binary64_2490` `rem-square-sqrt_binary64_2477` `/-rgt-identity_binary64_2456` `--rgt-identity_binary64_2451` `+-inverses_binary64_2444` `distribute-rgt1-in_binary64_2421` `distribute-lft-out--_binary64_2417` `count-2_binary64_2413` `associate--l+_binary64_2402` `associate--r+_binary64_2401`
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` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `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` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `distribute-lft1-in_binary64_2420`

Counts

99 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1855
1	451	1750
2	1312	1691
3	4939	1691
4	4942	1691

prune234.0ms (1.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	13	13
Picked	1	0	1
Done	0	0	0
Total	67	14	81

Error

30.3b

Counts

81 → 14

Compiler

Compiled 2144 to 876 computations (59.1% saved)

regimes5.8s (34.3%)

Accuracy

Total 2.5b remaining (7.9%)

Threshold costs 0b (0%)

Compiler

Compiled 78601 to 49973 computations (36.4% saved)

bsearch27.0ms (0.2%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64_2396` `+-commutative_binary64_2395`
10×	`sub-neg_binary64_2458`
8×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
2×	`distribute-neg-out_binary64_2427` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-neg-in_binary64_2423`
1×	`1-exp_binary64_2509` `unsub-neg_binary64_2459` `cancel-sign-sub-inv_binary64_2431` `distribute-neg-frac_binary64_2429` `distribute-rgt-neg-out_binary64_2425` `distribute-lft-neg-in_binary64_2422`
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` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-in_binary64_2426`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	119
1	54	119
2	66	119
3	81	119
4	90	117
5	97	117
6	100	117
7	101	117
8	99	117

end3.0ms (0%)

Compiler: Compiled 75 to 41 computations (45.3% saved)

sample2.5s (14.7%)

Algorithm

1×

intervals

Results

1.3s	7554×	body	256	valid
100.0ms	1239×	body	128	nan
40.0ms	446×	body	128	valid

Compiler

Compiled 712 to 436 computations (38.8% saved)

Details

analyze661.0ms (3.9%)

sample64.0ms (0.4%)

simplify234.0ms (1.4%)

prune7.0ms (0%)

localize19.0ms (0.1%)

rewrite266.0ms (1.6%)

series1.6s (9.5%)

simplify105.0ms (0.6%)

prune261.0ms (1.6%)

localize22.0ms (0.1%)

rewrite285.0ms (1.7%)

series1.1s (6.3%)

simplify90.0ms (0.5%)

prune248.0ms (1.5%)

localize26.0ms (0.2%)

rewrite313.0ms (1.9%)

series1.0s (6.2%)

simplify94.0ms (0.6%)

prune279.0ms (1.7%)

localize21.0ms (0.1%)

rewrite323.0ms (1.9%)

series1.2s (7.1%)

simplify102.0ms (0.6%)

prune234.0ms (1.4%)

regimes5.8s (34.3%)

bsearch27.0ms (0.2%)

simplify8.0ms (0%)

end3.0ms (0%)

sample2.5s (14.7%)

Profiling