Details

analyze654.0ms (5.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0.1%	14

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample225.0ms (2%)

Algorithm

1×

intervals

Results

118.0ms	43×	body	8192	exit
51.0ms	128×	body	1024	valid
16.0ms	67×	body	512	valid
11.0ms	37×	body	1024	nan
5.0ms	29×	body	256	valid
3.0ms	16×	body	512	nan
3.0ms	6×	body	2048	valid
2.0ms	26×	body	128	valid
2.0ms	15×	body	256	nan
1.0ms	14×	body	128	nan

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify254.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4667	15
1	4667	15

prune5.0ms (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

Merged error: 59.9b

Counts

2 → 1

Compiler

Compiled 37 to 26 computations (29.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.3b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
4.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_789`
12×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
9×	`times-frac_binary64_773`
5×	`add-cbrt-cube_binary64_803`
4×	`add-exp-log_binary64_805` `pow1_binary64_828`
3×	`associate-/r_binary64_711` `add-log-exp_binary64_806` `associate-/l_binary64_712` `sqrt-prod_binary64_783`
1×	`frac-2neg_binary64_778` `rem-sqrt-square_binary64_780` `cbrt-undiv_binary64_801` `pow1/2_binary64_847` `div-exp_binary64_818` `sqrt-pow1_binary64_785` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

3 → 47

Calls

3 calls:

4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
2.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series97.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

59.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
26.0ms	(sqrt.f64 (cos.f64 x))
12.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4787	953
1	4787	953

prune53.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	3	57

Merged error: 59.9b

Counts

57 → 3

Compiler

Compiled 1001 to 291 computations (70.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.3b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
2.4b	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
4.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_789`
21×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
18×	`times-frac_binary64_773`
14×	`log-pow_binary64_856`
13×	`exp-prod_binary64_819`
6×	`pow1_binary64_828` `add-cbrt-cube_binary64_803`
5×	`add-exp-log_binary64_805`
4×	`add-log-exp_binary64_806`
3×	`associate-/r_binary64_711` `associate-/l_binary64_712` `sqrt-prod_binary64_783` `log-prod_binary64_853`
2×	`div-inv_binary64_764`
1×	`frac-2neg_binary64_778` `rem-sqrt-square_binary64_780` `cbrt-undiv_binary64_801` `pow1/2_binary64_847` `rem-log-exp_binary64_808` `div-exp_binary64_818` `sqrt-pow1_binary64_785` `clear-num_binary64_766`

Counts

4 → 72

Calls

4 calls:

7.0ms	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
2.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series346.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
63.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
24.0ms	(sqrt.f64 (cos.f64 x))
11.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5001	1509

prune77.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 59.9b

Counts

87 → 5

Compiler

Compiled 1665 to 420 computations (74.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
1.3b	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
1.7b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
4.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_767`
14×	`add-sqr-sqrt_binary64_789`
10×	`add-cube-cbrt_binary64_802`
9×	`log-prod_binary64_853`
7×	`pow1_binary64_828` `add-log-exp_binary64_806` `exp-sum_binary64_813`
6×	`exp-prod_binary64_819` `cancel-sign-sub-inv_binary64_733` `associate--l+_binary64_704`
5×	`add-exp-log_binary64_805`
4×	`distribute-lft-out--_binary64_719` `add-cbrt-cube_binary64_803`
3×	`log-pow_binary64_856`
2×	`sub-neg_binary64_760` `diff-log_binary64_859` `rem-exp-log_binary64_807` `difference-of-squares_binary64_736`
1×	`exp-diff_binary64_815` `rem-log-exp_binary64_808` `flip--_binary64_742` `flip3--_binary64_771`

Counts

4 → 62

Calls

4 calls:

7.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
6.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
1.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series358.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
135.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
35.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
10.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5005	1206

prune61.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	75	4	79

Merged error: 59.9b

Counts

79 → 4

Compiler

Compiled 1256 to 282 computations (77.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(exp.f64 (-.f64 (cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3)) x))
1.3b	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3)) x)
1.7b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
4.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_789`
12×	`*-un-lft-identity_binary64_767`
10×	`difference-of-squares_binary64_736`
9×	`exp-prod_binary64_819` `add-log-exp_binary64_806`
8×	`cbrt-prod_binary64_798` `add-cube-cbrt_binary64_802`
6×	`cancel-sign-sub-inv_binary64_733`
5×	`add-exp-log_binary64_805` `pow1_binary64_828`
4×	`exp-sum_binary64_813` `add-cbrt-cube_binary64_803`
3×	`log-prod_binary64_853`
2×	`sqr-pow_binary64_739` `cube-prod_binary64_795` `sub-neg_binary64_760` `unpow-prod-down_binary64_846` `diff-log_binary64_859` `distribute-lft-out--_binary64_719` `rem-exp-log_binary64_807`
1×	`exp-diff_binary64_815` `log-pow_binary64_856` `rem-log-exp_binary64_808` `flip--_binary64_742` `flip3--_binary64_771`

Counts

4 → 62

Calls

4 calls:

14.0ms	(exp.f64 (-.f64 (cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3)) x))
10.0ms	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3)) x)
1.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series334.0ms (3%)

Counts

4 → 12

Calls

4 calls:

167.0ms	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3)) x)
124.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
33.0ms	(exp.f64 (-.f64 (cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3)) x))
9.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4881	1325
1	4881	1325

prune66.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	74	4	78

Merged error: 59.9b

Counts

78 → 4

Compiler

Compiled 1396 to 441 computations (68.4% saved)

regimes15.0ms (0.1%)

Compiler: Compiled 81 to 46 computations (43.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	19
1	9	19

end0.0ms (0%)

sample8.0s (73%)

Algorithm

1×

intervals

Results

4.4s	1618×	body	8192	exit
1.7s	4027×	body	1024	valid
516.0ms	2023×	body	512	valid
487.0ms	1568×	body	1024	nan
160.0ms	830×	body	512	nan
150.0ms	959×	body	256	valid
121.0ms	183×	body	2048	valid
74.0ms	808×	body	128	valid
59.0ms	452×	body	256	nan
36.0ms	390×	body	128	nan
1.0ms	1×	body	2048	nan

Compiler

Compiled 101 to 62 computations (38.6% saved)

Details

analyze654.0ms (5.9%)

sample225.0ms (2%)

simplify254.0ms (2.3%)

prune5.0ms (0%)

localize7.0ms (0.1%)

rewrite10.0ms (0.1%)

series97.0ms (0.9%)

simplify66.0ms (0.6%)

prune53.0ms (0.5%)

localize9.0ms (0.1%)

rewrite20.0ms (0.2%)

series346.0ms (3.1%)

simplify75.0ms (0.7%)

prune77.0ms (0.7%)

localize9.0ms (0.1%)

rewrite20.0ms (0.2%)

series358.0ms (3.3%)

simplify68.0ms (0.6%)

prune61.0ms (0.6%)

localize11.0ms (0.1%)

rewrite32.0ms (0.3%)

series334.0ms (3%)

simplify93.0ms (0.8%)

prune66.0ms (0.6%)

regimes15.0ms (0.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample8.0s (73%)

Profiling