Details

analyze654.0ms (5.8%)

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)

sample229.0ms (2%)

Algorithm

1×

intervals

Results

119.0ms	43×	body	8192	exit
51.0ms	124×	body	1024	valid
19.0ms	77×	body	512	valid
14.0ms	47×	body	1024	nan
5.0ms	31×	body	256	valid
3.0ms	15×	body	512	nan
3.0ms	5×	body	2048	valid
2.0ms	14×	body	256	nan
2.0ms	19×	body	128	valid
1.0ms	11×	body	128	nan

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify252.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

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)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0b	(sqrt.f64 (cos.f64 x))
3.2b	(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)))

series101.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
26.0ms	(sqrt.f64 (cos.f64 x))
11.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4787	953
1	4787	953

prune57.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Merged error: 59.9b

Counts

57 → 2

Compiler

Compiled 1006 to 295 computations (70.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.0b	(exp.f64 (sqrt.f64 (cos.f64 x)))
0.1b	(log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
3.2b	(fmod.f64 (exp.f64 x) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`exp-prod_binary64_819`
11×	`add-sqr-sqrt_binary64_789`
10×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
9×	`sqrt-prod_binary64_783`
7×	`log-pow_binary64_856`
6×	`pow1_binary64_828`
5×	`add-log-exp_binary64_806`
4×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
3×	`log-prod_binary64_853`
1×	`rem-sqrt-square_binary64_780` `pow1/2_binary64_847` `rem-log-exp_binary64_808` `sqrt-pow1_binary64_785` `rem-exp-log_binary64_807`

Counts

4 → 52

Calls

4 calls:

3.0ms	(log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
3.0ms	(exp.f64 (sqrt.f64 (cos.f64 x)))
2.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))

series228.0ms (2%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
58.0ms	(exp.f64 (sqrt.f64 (cos.f64 x)))
24.0ms	(sqrt.f64 (cos.f64 x))
12.0ms	(fmod.f64 (exp.f64 x) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4730	590
1	4730	590

prune52.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	63	3	66

Merged error: 35.2b

Counts

66 → 3

Compiler

Compiled 984 to 299 computations (69.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))
1.4b	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
1.4b	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
48.3b	(fmod.f64 (exp.f64 x) (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))) 2) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`cbrt-prod_binary64_798`
8×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
6×	`log-prod_binary64_853`
5×	`add-exp-log_binary64_805` `pow1_binary64_828`
4×	`add-log-exp_binary64_806` `add-cbrt-cube_binary64_803`
3×	`pow1/3_binary64_849`
2×	`log-pow_binary64_856`
1×	`rem-log-exp_binary64_808`

Counts

4 → 45

Calls

4 calls:

3.0ms	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
3.0ms	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
3.0ms	(log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))
1.0ms	(fmod.f64 (exp.f64 x) (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))) 2) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))))

series821.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

309.0ms	(log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))
248.0ms	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
246.0ms	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
19.0ms	(fmod.f64 (exp.f64 x) (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))) 2) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))))

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5955	759

prune64.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	57	3	60

Merged error: 35.2b

Counts

60 → 3

Compiler

Compiled 1435 to 500 computations (65.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/3 (sqrt.f64 (cos.f64 x)))
0.2b	(log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))
1.4b	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
3.2b	(fmod.f64 (exp.f64 x) (+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))) 2) (.f64 1/3 (sqrt.f64 (cos.f64 x)))))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_789`
10×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
7×	`add-exp-log_binary64_805` `pow1_binary64_828`
6×	`associate-r_binary64_707` `cbrt-prod_binary64_798` `log-prod_binary64_853` `add-cbrt-cube_binary64_803`
4×	`add-log-exp_binary64_806` `sqrt-prod_binary64_783`
3×	`associate-l_binary64_708`
2×	`unswap-sqr_binary64_735` `pow1/3_binary64_849` `log-pow_binary64_856`
1×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `rem-log-exp_binary64_808` `pow-prod-down_binary64_838`

Counts

4 → 56

Calls

4 calls:

6.0ms	(*.f64 1/3 (sqrt.f64 (cos.f64 x)))
3.0ms	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
3.0ms	(log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))
1.0ms	(fmod.f64 (exp.f64 x) (+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))) 2) (.f64 1/3 (sqrt.f64 (cos.f64 x)))))

series639.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

317.0ms	(log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))
258.0ms	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
39.0ms	(*.f64 1/3 (sqrt.f64 (cos.f64 x)))
25.0ms	(fmod.f64 (exp.f64 x) (+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))) 2) (.f64 1/3 (sqrt.f64 (cos.f64 x)))))

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5237	846

prune85.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	67	4	71

Merged error: 35.1b

Counts

71 → 4

Compiler

Compiled 1709 to 742 computations (56.6% saved)

regimes15.0ms (0.1%)

Compiler: Compiled 83 to 56 computations (32.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	34
1	18	34

end0.0ms (0%)

sample7.5s (67.3%)

Algorithm

1×

intervals

Results

4.0s	1474×	body	8192	exit
1.7s	3982×	body	1024	valid
499.0ms	2011×	body	512	valid
448.0ms	1474×	body	1024	nan
154.0ms	771×	body	512	nan
153.0ms	984×	body	256	valid
106.0ms	182×	body	2048	valid
76.0ms	841×	body	128	valid
56.0ms	428×	body	256	nan
29.0ms	377×	body	128	nan
1.0ms	1×	body	2048	nan

Compiler

Compiled 112 to 78 computations (30.4% saved)

Details

analyze654.0ms (5.8%)

sample229.0ms (2%)

simplify252.0ms (2.3%)

prune5.0ms (0%)

localize8.0ms (0.1%)

rewrite10.0ms (0.1%)

series101.0ms (0.9%)

simplify67.0ms (0.6%)

prune57.0ms (0.5%)

localize11.0ms (0.1%)

rewrite11.0ms (0.1%)

series228.0ms (2%)

simplify125.0ms (1.1%)

prune52.0ms (0.5%)

localize16.0ms (0.1%)

rewrite13.0ms (0.1%)

series821.0ms (7.3%)

simplify91.0ms (0.8%)

prune64.0ms (0.6%)

localize19.0ms (0.2%)

rewrite17.0ms (0.2%)

series639.0ms (5.7%)

simplify73.0ms (0.7%)

prune85.0ms (0.8%)

regimes15.0ms (0.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.5s (67.3%)

Profiling