Details

analyze459.0ms (5.9%)

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample44.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	159×	body	128	valid
10.0ms	43×	body	2048	valid
5.0ms	16×	body	4096	valid
4.0ms	20×	body	1024	valid
2.0ms	13×	body	512	valid
1.0ms	19×	body	128	nan
1.0ms	12×	body	128	invalid
0.0ms	5×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify375.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (277.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

34.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`difference-of-squares_binary64_2434` `times-frac_binary64_2471` `sqrt-prod_binary64_2481` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431` `flip3--_binary64_2469`
3×	`distribute-lft-out--_binary64_2417`
2×	`associate-/l/_binary64_2412` `cbrt-undiv_binary64_2499` `sub-neg_binary64_2458` `div-exp_binary64_2516` `diff-log_binary64_2557` `sqrt-div_binary64_2482`
1×	`associate-/r*_binary64_2409` `pow1/2_binary64_2545` `clear-num_binary64_2464` `div-sub_binary64_2470` `div-inv_binary64_2462` `rem-sqrt-square_binary64_2478` `prod-exp_binary64_2514` `frac-2neg_binary64_2476` `sqrt-pow1_binary64_2483` `cbrt-unprod_binary64_2498`

Counts

4 → 74

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series626.0ms (8.1%)

Counts

4 → 63

Calls

4 calls:

198.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
173.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
132.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
122.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 1896 to 1619 computations (14.6% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4944	2655
1	4944	2655

prune179.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	125	12	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	12	138

Error

4.3b

Counts

138 → 12

Compiler

Compiled 2908 to 1686 computations (42% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1/3 a)
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_2487`
16×	`*-un-lft-identity_binary64_2465`
14×	`add-cube-cbrt_binary64_2500`
9×	`times-frac_binary64_2471`
8×	`add-log-exp_binary64_2504`
6×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`pow1_binary64_2526`
4×	`sqrt-prod_binary64_2481` `cancel-sign-sub-inv_binary64_2431`
3×	`associate-/r_binary64_2409` `flip--_binary64_2440` `flip3--_binary64_2469` `associate-/l_binary64_2410`
2×	`difference-of-squares_binary64_2434` `sub-neg_binary64_2458` `diff-log_binary64_2557` `sqrt-div_binary64_2482`
1×	`pow1/2_binary64_2545` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `distribute-lft-out--_binary64_2417` `div-exp_binary64_2516` `div-inv_binary64_2462` `rem-sqrt-square_binary64_2478` `frac-2neg_binary64_2476` `sqrt-pow1_binary64_2483`

Counts

4 → 71

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
3.0ms	(/.f64 1/3 a)

series446.0ms (5.8%)

Counts

4 → 51

Calls

4 calls:

168.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
141.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
121.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
16.0ms	(/.f64 1/3 a)

Compiler

Compiled 1508 to 1277 computations (15.3% saved)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5035	1767

prune122.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	123	11	134

Error

4.3b

Counts

134 → 11

Compiler

Compiled 2505 to 1477 computations (41% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
8.1b	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))) b)
24.8b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
24.8b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_2504`
7×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
6×	`cbrt-prod_binary64_2496`
4×	`flip--_binary64_2440` `cbrt-div_binary64_2497` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `cancel-sign-sub-inv_binary64_2431` `pow1_binary64_2526` `flip3--_binary64_2469`
2×	`sub-neg_binary64_2458` `pow1/3_binary64_2547` `diff-log_binary64_2557`

Counts

4 → 52

Calls

4 calls:

10.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))) b)
5.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series921.0ms (11.9%)

Counts

4 → 62

Calls

4 calls:

334.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))) b)
202.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
201.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
184.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 3763 to 3032 computations (19.4% saved)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4945	2503
1	4945	2503

prune189.0ms (2.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	113	12	125

Error

4.3b

Counts

125 → 12

Compiler

Compiled 3869 to 2327 computations (39.9% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 -1/2 (/.f64 c b))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2487`
13×	`associate-r_binary64_2405`
10×	`times-frac_binary64_2471`
9×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
6×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`pow1_binary64_2526` `associate-l_binary64_2406`
2×	`unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
1×	`add-log-exp_binary64_2504` `-commutative_binary64_2396` `associate-r/_binary64_2407` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `pow-prod-down_binary64_2536`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 -1/2 (/.f64 c b))

series59.0ms (0.8%)

Counts

1 → 6

Calls

1 calls:

59.0ms

(*.f64 -1/2 (/.f64 c b))

Compiler

Compiled 60 to 72 computations (-20% saved)

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5015	369

prune24.0ms (0.3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	33	5	38
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	34	16	50

Error

4.3b

Counts

50 → 16

Compiler

Compiled 356 to 175 computations (50.8% saved)

regimes1.4s (18.7%)

Accuracy

Total 3.5b remaining (38.9%)

Threshold costs 0b (0%)

Compiler

Compiled 6183 to 4835 computations (21.8% saved)

bsearch98.0ms (1.3%)

Steps

Iters	Range		Point
8	5.025682897472853e+81	6.861131538919689e+85	8.101478123646484e+82
8	4.062335526610985e-145	1.980286495894846e-142	1.9911819164430855e-143
8	-7.627020626456852e+119	-5.927482068512257e+116	-5.937328566151444e+119

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	100	98
1	100	98

end0.0ms (0%)

sample2.3s (29.1%)

Algorithm

1×

intervals

Results

279.0ms	5220×	body	128	valid
275.0ms	1095×	body	2048	valid
136.0ms	709×	body	1024	valid
129.0ms	420×	body	4096	valid
53.0ms	375×	body	512	valid
31.0ms	647×	body	128	nan
23.0ms	352×	body	128	invalid
17.0ms	181×	body	256	valid

Compiler

Compiled 1204 to 936 computations (22.3% saved)

Details

analyze459.0ms (5.9%)

sample44.0ms (0.6%)

simplify375.0ms (4.9%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite42.0ms (0.5%)

series626.0ms (8.1%)

simplify70.0ms (0.9%)

prune179.0ms (2.3%)

localize11.0ms (0.1%)

rewrite26.0ms (0.3%)

series446.0ms (5.8%)

simplify62.0ms (0.8%)

prune122.0ms (1.6%)

localize17.0ms (0.2%)

rewrite29.0ms (0.4%)

series921.0ms (11.9%)

simplify88.0ms (1.1%)

prune189.0ms (2.4%)

localize4.0ms (0%)

rewrite13.0ms (0.2%)

series59.0ms (0.8%)

simplify108.0ms (1.4%)

prune24.0ms (0.3%)

regimes1.4s (18.7%)

bsearch98.0ms (1.3%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.3s (29.1%)

Profiling