Details

analyze251.0ms (3.4%)

Algorithm

1×

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	20×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify523.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

776×	`times-frac_binary64_2471`
612×	`exp-prod_binary64_2517`
401×	`swap-sqr_binary64_2432`
333×	`associate-/l*_binary64_2410`
262×	`unsub-neg_binary64_2459`
242×	`distribute-rgt1-in_binary64_2421`
221×	`distribute-rgt-in_binary64_2415`
208×	`distribute-lft-neg-in_binary64_2422`
175×	`distribute-rgt-neg-in_binary64_2423`
164×	`distribute-rgt-neg-out_binary64_2425`
136×	`exp-sum_binary64_2511`
124×	`distribute-lft-neg-out_binary64_2424`
108×	`neg-mul-1_binary64_2461`
97×	`neg-sub0_binary64_2460`
95×	`distribute-neg-in_binary64_2426`
88×	`associate-r_binary64_2405`
86×	`sqr-pow_binary64_2437`
76×	`distribute-neg-out_binary64_2427`
69×	`distribute-lft-in_binary64_2414`
68×	`associate-l_binary64_2406`
64×	`pow-plus_binary64_2528`
62×	`sqr-neg_binary64_2479`
56×	`pow-sqr_binary64_2438` `*-commutative_binary64_2396`
53×	`exp-neg_binary64_2512`
52×	`exp-diff_binary64_2513`
44×	`remove-double-neg_binary64_2453`
32×	`associate-+l-_binary64_2400`
28×	`sub-neg_binary64_2458`
25×	`distribute-rgt-out_binary64_2418`
24×	`distribute-lft1-in_binary64_2420`
23×	`cancel-sign-sub-inv_binary64_2431`
20×	`associate--r+_binary64_2401`
18×	`exp-lft-sqr_binary64_2520`
15×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
14×	`associate-+r+_binary64_2397`
13×	`div-sub_binary64_2470`
11×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `associate-+l+_binary64_2398` `+-commutative_binary64_2395`
9×	`sub0-neg_binary64_2452`
5×	`pow-base-1_binary64_2525` `cube-prod_binary64_2493` `distribute-frac-neg_binary64_2428`
4×	`count-2_binary64_2413`
3×	`cube-unmult_binary64_2502` `+-rgt-identity_binary64_2450` `associate-+r-_binary64_2399`
2×	`--rgt-identity_binary64_2451` `distribute-rgt-out--_binary64_2419` `associate--r-_binary64_2404`
1×	`prod-exp_binary64_2514` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `div0_binary64_2446` `distribute-neg-frac_binary64_2429` `associate--l+_binary64_2402`
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` `exp-to-pow_binary64_2527` `unpow0_binary64_2524` `unpow1_binary64_2523` `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` `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-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` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `+-lft-identity_binary64_2449` `-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` `unswap-sqr_binary64_2433` `cancel-sign-sub_binary64_2430` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `associate-/r_binary64_2409` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate--l-_binary64_2403`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	32	10
3	67	10
4	161	10
5	254	10
6	501	10
7	1367	10

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.1b

Counts

3 → 2

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 y z))
2.2b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_2487`
4×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
3×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3--_binary64_2469` `associate-*r/_binary64_2407` `flip--_binary64_2440`
1×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `diff-log_binary64_2557`

Counts

2 → 36

Calls

2 calls:

7.0ms	(.f64 x (-.f64 1 (.f64 y z)))
3.0ms	(-.f64 1 (*.f64 y z))

Compiler

Compiled 507 to 263 computations (48.1% saved)

series269.0ms (3.7%)

Error

0.1b

Counts

2 → 27

Calls

2 calls:

185.0ms	(.f64 x (-.f64 1 (.f64 y z)))
70.0ms	(-.f64 1 (*.f64 y z))

Compiler

Compiled 443 to 327 computations (26.2% saved)

simplify247.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

496×	`unsub-neg_binary64_2459`
374×	`associate-+l+_binary64_2398`
319×	`distribute-neg-out_binary64_2427`
258×	`distribute-rgt-neg-in_binary64_2423`
218×	`associate-+l-_binary64_2400`
212×	`associate-+r+_binary64_2397`
189×	`distribute-lft-neg-in_binary64_2422`
177×	`sqr-pow_binary64_2437`
170×	`associate-/l*_binary64_2410`
151×	`*-commutative_binary64_2396`
150×	`distribute-lft-neg-out_binary64_2424`
138×	`neg-mul-1_binary64_2461`
137×	`distribute-rgt-neg-out_binary64_2425`
134×	`neg-sub0_binary64_2460`
130×	`exp-prod_binary64_2517`
115×	`distribute-rgt-in_binary64_2415`
107×	`distribute-lft-in_binary64_2414`
101×	`pow-sqr_binary64_2438`
98×	`sub-neg_binary64_2458`
79×	`associate-l_binary64_2406`
73×	`cancel-sign-sub-inv_binary64_2431`
68×	`times-frac_binary64_2471`
66×	`associate-r_binary64_2405`
53×	`distribute-rgt-out_binary64_2418`
52×	`distribute-rgt1-in_binary64_2421`
51×	`associate-/r*_binary64_2409`
50×	`exp-to-pow_binary64_2527` `+-commutative_binary64_2395`
46×	`exp-sum_binary64_2511`
43×	`associate--r+_binary64_2401`
42×	`associate-/l/_binary64_2412`
41×	`log-pow_binary64_2554`
39×	`*-lft-identity_binary64_2454`
36×	`cancel-sign-sub_binary64_2430` `associate-*r/_binary64_2407`
35×	`pow-plus_binary64_2528` `*-rgt-identity_binary64_2455` `distribute-neg-in_binary64_2426`
29×	`unswap-sqr_binary64_2433` `associate--l+_binary64_2402`
23×	`associate-*l/_binary64_2408`
22×	`log-prod_binary64_2551` `div-sub_binary64_2470`
20×	`exp-diff_binary64_2513` `associate-/r/_binary64_2411`
19×	`associate-+r-_binary64_2399`
18×	`swap-sqr_binary64_2432`
16×	`+-rgt-identity_binary64_2450`
15×	`pow-base-1_binary64_2525` `cube-prod_binary64_2493`
14×	`sub0-neg_binary64_2452`
12×	`mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `difference-of-squares_binary64_2434` `distribute-lft1-in_binary64_2420` `associate--l-_binary64_2403`
9×	`difference-of-sqr-1_binary64_2435` `count-2_binary64_2413`
8×	`associate--r-_binary64_2404`
7×	`distribute-rgt-out--_binary64_2419`
6×	`sqr-neg_binary64_2479` `+-lft-identity_binary64_2449`
5×	`cube-unmult_binary64_2502` `--rgt-identity_binary64_2451` `distribute-frac-neg_binary64_2428` `distribute-lft-out_binary64_2416`
4×	`unpow3_binary64_2531` `prod-exp_binary64_2514` `cube-mult_binary64_2495`
3×	`exp-sqrt_binary64_2518` `mul-1-neg_binary64_2457` `remove-double-neg_binary64_2453` `distribute-neg-frac_binary64_2429`
2×	`exp-lft-sqr_binary64_2520` `div-exp_binary64_2516` `cube-neg_binary64_2492` `/-rgt-identity_binary64_2456`
1×	`exp-lft-cube_binary64_2521` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-log-exp_binary64_2506` `*-inverses_binary64_2445` `rgt-mult-inverse_binary64_2442` `difference-of-sqr--1_binary64_2436`
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` `unpow1/2_binary64_2529` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-cbrt_binary64_2519` `rec-exp_binary64_2515` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `div0_binary64_2446` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `remove-double-div_binary64_2441` `distribute-lft-out--_binary64_2417`

Counts

63 → 154

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	696
1	159	639
2	496	639
3	1035	639
4	2274	639

prune120.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	147	9	156

Error

Counts

156 → 9

Compiler

Compiled 2125 to 753 computations (64.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (*.f64 z y))))
2.4b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
2.4b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
2.4b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite180.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
18×	`cbrt-div_binary64_2497`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547` `flip3--_binary64_2469` `flip--_binary64_2440`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `frac-times_binary64_2475` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438` `associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (*.f64 z y))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))

Compiler

Compiled 2834 to 1638 computations (42.2% saved)

series846.0ms (11.5%)

Error

Counts

4 → 52

Calls

4 calls:

283.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (*.f64 z y))))
166.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
158.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
158.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))

Compiler

Compiled 4373 to 3293 computations (24.7% saved)

simplify1.4s (18.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

139 → 278

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	3129
1	425	2951
2	1300	2726
3	3829	2500

prune609.0ms (8.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	278	9	287

Error

Counts

287 → 9

Compiler

Compiled 9387 to 5163 computations (45% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 y (.f64 x z)))
5.7b	(.f64 y (.f64 x z))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498` `add-sqr-sqrt_binary64_2487` `-un-lft-identity_binary64_2465` `associate-l*_binary64_2406`
1×	`associate-r_binary64_2405` `*-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 → 30

Calls

2 calls:

5.0ms	(.f64 y (.f64 x z))
3.0ms	(-.f64 x (.f64 y (.f64 x z)))

Compiler

Compiled 407 to 114 computations (72% saved)

series309.0ms (4.2%)

Error

Counts

2 → 24

Calls

2 calls:

173.0ms	(-.f64 x (.f64 y (.f64 x z)))
125.0ms	(.f64 y (.f64 x z))

Compiler

Compiled 444 to 285 computations (35.8% saved)

simplify178.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

590×	`unsub-neg_binary64_2459`
561×	`distribute-rgt-neg-in_binary64_2423`
515×	`distribute-lft-neg-in_binary64_2422`
337×	`cancel-sign-sub-inv_binary64_2431`
282×	`distribute-rgt-in_binary64_2415`
249×	`unswap-sqr_binary64_2433`
245×	`distribute-lft-in_binary64_2414`
224×	`*-commutative_binary64_2396`
173×	`neg-sub0_binary64_2460`
172×	`neg-mul-1_binary64_2461`
148×	`sqr-pow_binary64_2437`
143×	`distribute-rgt-out--_binary64_2419`
135×	`exp-sum_binary64_2511`
123×	`distribute-neg-out_binary64_2427`
119×	`sub-neg_binary64_2458`
94×	`associate-l_binary64_2406`
91×	`exp-prod_binary64_2517`
89×	`times-frac_binary64_2471`
86×	`associate-r_binary64_2405`
74×	`mul0-lft_binary64_2447`
73×	`mul0-rgt_binary64_2448`
65×	`pow-sqr_binary64_2438`
62×	`distribute-neg-in_binary64_2426`
59×	`distribute-rgt-out_binary64_2418`
51×	`distribute-lft-neg-out_binary64_2424`
50×	`difference-of-squares_binary64_2434` `swap-sqr_binary64_2432`
39×	`associate-+r+_binary64_2397`
34×	`exp-diff_binary64_2513`
32×	`associate-+l+_binary64_2398` `+-commutative_binary64_2395`
31×	`distribute-rgt-neg-out_binary64_2425`
30×	`log-prod_binary64_2551` `div-sub_binary64_2470`
28×	`sqr-neg_binary64_2479` `distribute-rgt1-in_binary64_2421`
26×	`cube-prod_binary64_2493`
25×	`distribute-frac-neg_binary64_2428`
24×	`distribute-lft-out_binary64_2416`
20×	`*-lft-identity_binary64_2454`
18×	`exp-neg_binary64_2512`
14×	`+-rgt-identity_binary64_2450` `associate-/r*_binary64_2409`
13×	`*-rgt-identity_binary64_2455`
12×	`unpow3_binary64_2531`
11×	`associate-/l*_binary64_2410`
10×	`associate-+l-_binary64_2400`
9×	`associate-+r-_binary64_2399`
8×	`cube-neg_binary64_2492` `associate--r+_binary64_2401`
7×	`cube-mult_binary64_2495` `sub0-neg_binary64_2452` `associate-/l/_binary64_2412`
6×	`remove-double-neg_binary64_2453` `distribute-lft1-in_binary64_2420`
5×	`cube-unmult_binary64_2502` `+-lft-identity_binary64_2449` `associate-*r/_binary64_2407`
3×	`--rgt-identity_binary64_2451` `distribute-lft-out--_binary64_2417` `associate--r-_binary64_2404` `associate--l+_binary64_2402`
2×	`mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `associate-/r/_binary64_2411`
1×	`pow-plus_binary64_2528` `div-exp_binary64_2516` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-log-exp_binary64_2506` `-inverses_binary64_2445` `count-2_binary64_2413` `associate-l/_binary64_2408`
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` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `div0_binary64_2446` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `associate--l-_binary64_2403`

Counts

54 → 130

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	570
1	174	549
2	566	543
3	1221	543
4	3088	543

prune96.0ms (1.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	130	9	139

Error

Counts

139 → 9

Compiler

Compiled 1848 to 442 computations (76.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 z (.f64 x y)))
7.3b	(.f64 z (.f64 x y))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498` `add-sqr-sqrt_binary64_2487` `-un-lft-identity_binary64_2465` `associate-l*_binary64_2406`
1×	`associate-r_binary64_2405` `*-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 → 30

Calls

2 calls:

5.0ms	(.f64 z (.f64 x y))
3.0ms	(-.f64 x (.f64 z (.f64 x y)))

Compiler

Compiled 407 to 114 computations (72% saved)

series317.0ms (4.3%)

Error

Counts

2 → 24

Calls

2 calls:

169.0ms	(-.f64 x (.f64 z (.f64 x y)))
137.0ms	(.f64 z (.f64 x y))

Compiler

Compiled 444 to 285 computations (35.8% saved)

simplify195.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

561×	`distribute-rgt-neg-in_binary64_2423`
529×	`unsub-neg_binary64_2459`
515×	`distribute-lft-neg-in_binary64_2422`
336×	`cancel-sign-sub-inv_binary64_2431`
269×	`distribute-rgt-in_binary64_2415`
249×	`unswap-sqr_binary64_2433`
232×	`distribute-lft-in_binary64_2414` `*-commutative_binary64_2396`
172×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
148×	`sqr-pow_binary64_2437`
143×	`distribute-rgt-out--_binary64_2419`
130×	`exp-sum_binary64_2511`
122×	`distribute-neg-out_binary64_2427`
119×	`sub-neg_binary64_2458`
94×	`associate-l_binary64_2406`
91×	`exp-prod_binary64_2517`
89×	`times-frac_binary64_2471`
86×	`associate-r_binary64_2405`
65×	`mul0-lft_binary64_2447` `pow-sqr_binary64_2438`
64×	`mul0-rgt_binary64_2448`
62×	`distribute-neg-in_binary64_2426`
59×	`distribute-rgt-out_binary64_2418`
51×	`distribute-lft-neg-out_binary64_2424`
50×	`difference-of-squares_binary64_2434` `swap-sqr_binary64_2432`
39×	`associate-+r+_binary64_2397`
34×	`exp-diff_binary64_2513`
32×	`associate-+l+_binary64_2398` `+-commutative_binary64_2395`
31×	`distribute-rgt-neg-out_binary64_2425`
30×	`log-prod_binary64_2551` `div-sub_binary64_2470`
28×	`sqr-neg_binary64_2479` `distribute-rgt1-in_binary64_2421`
26×	`cube-prod_binary64_2493`
25×	`distribute-frac-neg_binary64_2428`
24×	`distribute-lft-out_binary64_2416`
20×	`*-lft-identity_binary64_2454`
18×	`exp-neg_binary64_2512`
14×	`+-rgt-identity_binary64_2450` `associate-/r*_binary64_2409`
13×	`*-rgt-identity_binary64_2455`
12×	`unpow3_binary64_2531`
11×	`associate-/l*_binary64_2410`
10×	`associate-+l-_binary64_2400`
9×	`associate-+r-_binary64_2399`
8×	`cube-neg_binary64_2492` `associate--r+_binary64_2401`
7×	`cube-mult_binary64_2495` `sub0-neg_binary64_2452` `associate-/l/_binary64_2412`
6×	`remove-double-neg_binary64_2453` `distribute-lft1-in_binary64_2420`
5×	`cube-unmult_binary64_2502` `+-lft-identity_binary64_2449` `associate-*r/_binary64_2407`
3×	`--rgt-identity_binary64_2451` `distribute-lft-out--_binary64_2417` `associate--r-_binary64_2404` `associate--l+_binary64_2402`
2×	`mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `associate-/r/_binary64_2411`
1×	`pow-plus_binary64_2528` `div-exp_binary64_2516` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-log-exp_binary64_2506` `-inverses_binary64_2445` `count-2_binary64_2413` `associate-l/_binary64_2408`
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` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-exp-log_binary64_2505` `cube-div_binary64_2494` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `div0_binary64_2446` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `cancel-sign-sub_binary64_2430` `distribute-neg-frac_binary64_2429` `associate--l-_binary64_2403`

Counts

54 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	570
1	173	549
2	564	543
3	1220	543
4	3043	543

prune93.0ms (1.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	141	9	150

Error

Counts

150 → 9

Compiler

Compiled 1982 to 358 computations (81.9% saved)

regimes539.0ms (7.3%)

Accuracy

Total 0.1b remaining (95.3%)

Threshold costs 0.1b (95.3%)

Compiler

Compiled 3700 to 2885 computations (22% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64_2396`
12×	`sub-neg_binary64_2458` `+-commutative_binary64_2395`
10×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `distribute-rgt-neg-in_binary64_2423`
7×	`distribute-lft-neg-in_binary64_2422`
6×	`cancel-sign-sub-inv_binary64_2431`
5×	`distribute-lft-neg-out_binary64_2424`
2×	`distribute-rgt-neg-out_binary64_2425`
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` `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_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: 0 (0.0ms)

Iter	Nodes	Cost
0	23	59
1	50	59
2	79	59
3	102	59
4	113	59
5	116	59

Proof

(if real (<= f64 (* f64 h0 (- f64 1 (* f64 h1 h2))) h3) (* f64 h2 (* f64 h0 (neg f64 h1))) (if real (<= f64 (* f64 h0 (- f64 1 (* f64 h1 h2))) 72700838229334381627717751933313604094850400857882577114487837623084847137745310282178118282238056582998751805869476138947681268649681262507671971872584727552818492610131606147285666386688118127733643517251275723489587369670336765644845963293192418819242570251207710585079311866733634888816255656342180593664) (- f64 h0 (* f64 h0 (* f64 h1 h2))) (- f64 h0 (* f64 h1 (* f64 h0 h2)))))

end0.0ms (0%)

sample1.0s (14%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	128	valid
18.0ms	570×	body	128	invalid

Compiler

Compiled 581 to 446 computations (23.2% saved)

Details

analyze251.0ms (3.4%)

sample28.0ms (0.4%)

simplify523.0ms (7.1%)

prune6.0ms (0.1%)

localize5.0ms (0.1%)

rewrite49.0ms (0.7%)

series269.0ms (3.7%)

simplify247.0ms (3.4%)

prune120.0ms (1.6%)

localize13.0ms (0.2%)

rewrite180.0ms (2.4%)

series846.0ms (11.5%)

simplify1.4s (18.7%)

prune609.0ms (8.3%)

localize5.0ms (0.1%)

rewrite33.0ms (0.4%)

series309.0ms (4.2%)

simplify178.0ms (2.4%)

prune96.0ms (1.3%)

localize5.0ms (0.1%)

rewrite31.0ms (0.4%)

series317.0ms (4.3%)

simplify195.0ms (2.6%)

prune93.0ms (1.3%)

regimes539.0ms (7.3%)

bsearch2.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.0s (14%)

Profiling