Details

analyze414.0ms (6.8%)

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
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample38.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
3.0ms	34×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify199.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5740	19

prune5.0ms (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

30.5b

Counts

2 → 2

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.4b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64_425`
22×	`log-pow_binary64_508`
21×	`pow1_binary64_480`
17×	`add-sqr-sqrt_binary64_441`
16×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
6×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `associate-/l*_binary64_364`
5×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
4×	`sqrt-div_binary64_436` `associate-/r*_binary64_363`
3×	`flip3-+_binary64_422` `flip-+_binary64_393` `sqrt-prod_binary64_435`
2×	`log-div_binary64_506` `div-sub_binary64_424`
1×	`clear-num_binary64_418` `div-inv_binary64_416` `sum-log_binary64_510` `frac-2neg_binary64_430` `rem-sqrt-square_binary64_432` `+-commutative_binary64_349` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

3 → 74

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series560.0ms (9.2%)

Counts

3 → 45

Calls

3 calls:

354.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
125.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
81.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1088 to 992 computations (8.8% saved)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5227	2398

prune122.0ms (2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	105	14	119
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	106	15	121

Error

0.6b

Counts

121 → 15

Compiler

Compiled 2287 to 622 computations (72.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_441` `sqrt-prod_binary64_435`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
8×	`sqrt-div_binary64_436`
7×	`pow1_binary64_480`
6×	`cbrt-prod_binary64_450`
4×	`flip3-+_binary64_422` `add-log-exp_binary64_458` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
3×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`
2×	`cbrt-div_binary64_451`
1×	`pow1/3_binary64_501`

Counts

4 → 61

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series482.0ms (7.9%)

Counts

4 → 60

Calls

4 calls:

140.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
134.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
130.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
78.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

Compiler

Compiled 3278 to 2042 computations (37.7% saved)

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5053	1825

prune142.0ms (2.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	123	13	136

Error

0.6b

Counts

136 → 13

Compiler

Compiled 4682 to 993 computations (78.8% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.1b	(exp.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_441`
12×	`sqrt-prod_binary64_435`
11×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
9×	`log-prod_binary64_505` `exp-sum_binary64_465`
8×	`sqrt-div_binary64_436` `pow1_binary64_480`
6×	`cbrt-prod_binary64_450`
5×	`exp-prod_binary64_471`
4×	`flip3-+_binary64_422` `add-log-exp_binary64_458` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
3×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`
2×	`exp-diff_binary64_467` `cbrt-div_binary64_451` `log-pow_binary64_508` `log-div_binary64_506`
1×	`pow1/3_binary64_501` `rem-exp-log_binary64_459`

Counts

4 → 69

Calls

4 calls:

9.0ms	(exp.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series594.0ms (9.8%)

Counts

4 → 64

Calls

4 calls:

175.0ms	(exp.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
143.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
141.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
135.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 3754 to 2440 computations (35% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5065	2123

prune162.0ms (2.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	133	13	146

Error

0.6b

Counts

146 → 13

Compiler

Compiled 5390 to 1175 computations (78.2% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.0b	(pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1/3)
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
12×	`sqrt-prod_binary64_435`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
9×	`pow1_binary64_480`
6×	`sqrt-div_binary64_436` `unpow-prod-down_binary64_498`
5×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `pow1/2_binary64_499` `add-cbrt-cube_binary64_455` `sqrt-pow1_binary64_437`
3×	`flip3-+_binary64_422` `flip-+_binary64_393` `pow-pow_binary64_491` `pow-unpow_binary64_496` `rem-sqrt-square_binary64_432`
1×	`unpow1/3_binary64_486` `sqrt-pow2_binary64_438` `pow-exp_binary64_487` `sqr-pow_binary64_391` `pow-to-exp_binary64_488`

Counts

4 → 69

Calls

4 calls:

6.0ms	(pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1/3)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series490.0ms (8.1%)

Counts

4 → 60

Calls

4 calls:

143.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
140.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
139.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
67.0ms	(pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1/3)

Compiler

Compiled 3350 to 2162 computations (35.5% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5168	1865

prune151.0ms (2.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	129	13	142

Error

0.6b

Counts

142 → 13

Compiler

Compiled 4792 to 1096 computations (77.1% saved)

regimes486.0ms (8%)

Accuracy

Total 17.3b remaining (97.7%)

Threshold costs 0b (0%)

Compiler

Compiled 3276 to 2031 computations (38% saved)

bsearch149.0ms (2.4%)

Steps

Iters	Range		Point
8	7.063665075185716e+125	4.242592952876469e+129	1.6220481957542566e+128
7	2.914348414960259e-261	5.053908649377423e-260	2.947060200934387e-261
6	-5.350205294795912e-270	-4.3969415861169587e-271	-1.9920089176974863e-270
5	-2.3362428342412416e+90	-8.787472209189437e+89	-1.9830618027166927e+90

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	125
1	53	125

end0.0ms (0%)

sample1.7s (27.2%)

Algorithm

1×

intervals

Results

767.0ms	8000×	body	128	valid
91.0ms	996×	body	128	nan

Compiler

Compiled 750 to 454 computations (39.5% saved)

Details

analyze414.0ms (6.8%)

sample38.0ms (0.6%)

simplify199.0ms (3.3%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

rewrite21.0ms (0.3%)

series560.0ms (9.2%)

simplify78.0ms (1.3%)

prune122.0ms (2%)

localize15.0ms (0.2%)

rewrite26.0ms (0.4%)

series482.0ms (7.9%)

simplify65.0ms (1.1%)

prune142.0ms (2.3%)

localize19.0ms (0.3%)

rewrite29.0ms (0.5%)

series594.0ms (9.8%)

simplify61.0ms (1%)

prune162.0ms (2.7%)

localize21.0ms (0.3%)

rewrite26.0ms (0.4%)

series490.0ms (8.1%)

simplify58.0ms (0.9%)

prune151.0ms (2.5%)

regimes486.0ms (8%)

bsearch149.0ms (2.4%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (27.2%)

Profiling