Details

analyze147.0ms (5.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample36.0ms (1.3%)

Algorithm

1×

intervals

Results

8.0ms	186×	body	128	valid
8.0ms	34×	body	1024	valid
4.0ms	28×	body	512	valid
3.0ms	21×	body	1024	invalid
1.0ms	12×	body	512	invalid
1.0ms	8×	body	256	valid
1.0ms	8×	body	256	invalid
0.0ms	8×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify99.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune2.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1092`
3×	`associate-r_binary64_1010` `add-cbrt-cube_binary64_1106` `associate-l_binary64_1011` `pow1_binary64_1131` `*-un-lft-identity_binary64_1070` `add-cube-cbrt_binary64_1105`
2×	`add-exp-log_binary64_1108`
1×	`cbrt-unprod_binary64_1103` `*-commutative_binary64_1001` `prod-exp_binary64_1119` `unswap-sqr_binary64_1038` `pow-prod-down_binary64_1141` `add-log-exp_binary64_1109`

Counts

1 → 18

Calls

2 calls:

6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
0.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

series80.0ms (2.9%)

Counts

1 → 12

Calls

1 calls:

80.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 152 to 124 computations (18.4% saved)

simplify84.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4907	351
1	4907	351

prune31.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Compiler

Compiled 289 to 105 computations (63.7% saved)

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))
0.0b	(*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re)))
0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1101`
23×	`add-sqr-sqrt_binary64_1092`
15×	`*-un-lft-identity_binary64_1070` `add-cube-cbrt_binary64_1105`
11×	`pow1_binary64_1131`
9×	`pow1/3_binary64_1152`
6×	`associate-r_binary64_1010` `add-exp-log_binary64_1108` `swap-sqr_binary64_1037` `associate-l_binary64_1011`
4×	`add-cbrt-cube_binary64_1106` `unswap-sqr_binary64_1038` `add-log-exp_binary64_1109`
2×	`pow-sqr_binary64_1043` `pow-prod-up_binary64_1140` `pow-prod-down_binary64_1141`
1×	`pow-plus_binary64_1133` `cbrt-unprod_binary64_1103` `*-commutative_binary64_1001` `pow2_binary64_1151` `prod-exp_binary64_1119`

Counts

4 → 73

Calls

8 calls:

7.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(cbrt.f64 (exp.f64 re))
0.0ms	(*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re)))

series267.0ms (9.8%)

Counts

4 → 24

Calls

4 calls:

77.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
66.0ms	(cbrt.f64 (exp.f64 re))
65.0ms	(cbrt.f64 (exp.f64 re))
59.0ms	(cbrt.f64 (exp.f64 re))

Compiler

Compiled 528 to 400 computations (24.2% saved)

simplify75.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4983	839
1	4983	839

prune77.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Error

Counts

99 → 2

Compiler

Compiled 1602 to 403 computations (74.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	179
1	61	179

regimes80.0ms (2.9%)

Accuracy

Total 0.0b remaining (51.7%)

Threshold costs 0.0b (51.7%)

Compiler

Compiled 468 to 392 computations (16.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.7s (62.4%)

Algorithm

1×

intervals

Results

312.0ms	1348×	body	1024	valid
246.0ms	5660×	body	128	valid
109.0ms	641×	body	1024	invalid
87.0ms	688×	body	512	valid
35.0ms	308×	body	512	invalid
25.0ms	304×	body	256	valid
15.0ms	179×	body	256	invalid
10.0ms	192×	body	128	invalid

Compiler

Compiled 348 to 287 computations (17.5% saved)

Pareto

0.8068625903926114

Details

analyze147.0ms (5.4%)

sample36.0ms (1.3%)

simplify99.0ms (3.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite7.0ms (0.3%)

series80.0ms (2.9%)

simplify84.0ms (3.1%)

prune31.0ms (1.2%)

localize8.0ms (0.3%)

rewrite18.0ms (0.7%)

series267.0ms (9.8%)

simplify75.0ms (2.8%)

prune77.0ms (2.8%)

simplify4.0ms (0.1%)

regimes80.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (62.4%)

Profiling