Details

analyze454.0ms (6.6%)

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
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
3.0ms	72×	body	128	nan

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	18
1	38	18

prune5.0ms (0.1%)

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

18.0b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64_13763` `add-sqr-sqrt_binary64_13746`
3×	`pow1_binary64_13785` `add-cube-cbrt_binary64_13759` `sqrt-prod_binary64_13740` `*-un-lft-identity_binary64_13724`
2×	`add-exp-log_binary64_13762` `flip-+_binary64_13698` `sqrt-div_binary64_13741` `add-cbrt-cube_binary64_13760` `flip3-+_binary64_13727` `associate-+l+_binary64_13657`
1×	`sqrt-pow1_binary64_13742` `sum-log_binary64_13815` `distribute-lft-in_binary64_13673` `distribute-rgt-in_binary64_13674` `+-commutative_binary64_13654` `rem-sqrt-square_binary64_13737` `pow1/2_binary64_13804`

Counts

2 → 28

Calls

4 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
0.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
0.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series273.0ms (3.9%)

Counts

2 → 30

Calls

2 calls:

150.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
123.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

Compiler

Compiled 933 to 741 computations (20.6% saved)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4994	893
1	4994	893

prune77.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	46	12	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	13	59

Error

17.5b

Counts

59 → 13

Compiler

Compiled 1079 to 392 computations (63.7% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
0.6b	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 y z)))))
0.2b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))))
0.2b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))))
1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_13763` `add-sqr-sqrt_binary64_13746`
6×	`pow1_binary64_13785` `add-cube-cbrt_binary64_13759` `sqrt-prod_binary64_13740` `*-un-lft-identity_binary64_13724`
4×	`add-exp-log_binary64_13762` `flip-+_binary64_13698` `sqrt-div_binary64_13741` `add-cbrt-cube_binary64_13760` `flip3-+_binary64_13727` `associate-+l+_binary64_13657`
2×	`sqrt-pow1_binary64_13742` `sum-log_binary64_13815` `distribute-lft-in_binary64_13673` `distribute-rgt-in_binary64_13674` `+-commutative_binary64_13654` `rem-sqrt-square_binary64_13737` `pow1/2_binary64_13804`

Counts

4 → 56

Calls

8 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
0.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))))

series554.0ms (8%)

Counts

4 → 60

Calls

4 calls:

155.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
151.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
125.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
123.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

Compiler

Compiled 3114 to 2250 computations (27.7% saved)

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4994	1786
1	4994	1786

prune119.0ms (1.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	116	13	129

Error

17.5b

Counts

129 → 13

Compiler

Compiled 3466 to 695 computations (79.9% saved)

localize18.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.6b	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 y x) (*.f64 z (+.f64 x y))))))
0.2b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 x y)))))
0.2b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))))
0.0b	(*.f64 z (+.f64 x y))
1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.8b	(+.f64 (.f64 y x) (.f64 z (+.f64 x y)))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.1b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 x y))))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_13763` `add-sqr-sqrt_binary64_13746`
6×	`pow1_binary64_13785` `add-cube-cbrt_binary64_13759` `sqrt-prod_binary64_13740` `*-un-lft-identity_binary64_13724`
4×	`add-exp-log_binary64_13762` `flip-+_binary64_13698` `sqrt-div_binary64_13741` `add-cbrt-cube_binary64_13760` `flip3-+_binary64_13727`
2×	`associate-+r+_binary64_13656` `sqrt-pow1_binary64_13742` `sum-log_binary64_13815` `distribute-lft-in_binary64_13673` `distribute-rgt-in_binary64_13674` `+-commutative_binary64_13654` `associate-+l+_binary64_13657` `rem-sqrt-square_binary64_13737` `pow1/2_binary64_13804`

Counts

4 → 56

Calls

8 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
5.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x y)))
4.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 x y))))
0.0ms	(*.f64 z (+.f64 x y))

series573.0ms (8.3%)

Counts

4 → 60

Calls

4 calls:

161.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x y)))
152.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
132.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 x y))))
127.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

Compiler

Compiled 3114 to 2246 computations (27.9% saved)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5078	1786

prune112.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	116	13	129

Error

17.5b

Counts

129 → 13

Compiler

Compiled 3468 to 728 computations (79% saved)

localize20.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.4b	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 y z)))))
0.2b	(sqrt.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 y z))))))
0.2b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))))
0.1b	(sqrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))))
1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_13746`
7×	`add-cube-cbrt_binary64_13759` `*-un-lft-identity_binary64_13724`
6×	`add-log-exp_binary64_13763` `cbrt-prod_binary64_13755`
5×	`pow1_binary64_13785`
4×	`add-exp-log_binary64_13762` `flip-+_binary64_13698` `cbrt-div_binary64_13756` `add-cbrt-cube_binary64_13760` `flip3-+_binary64_13727`
3×	`sqrt-prod_binary64_13740`
2×	`pow1/3_binary64_13806` `sqrt-div_binary64_13741` `associate-+l+_binary64_13657`
1×	`sqrt-pow1_binary64_13742` `sum-log_binary64_13815` `distribute-lft-in_binary64_13673` `distribute-rgt-in_binary64_13674` `+-commutative_binary64_13654` `rem-sqrt-square_binary64_13737` `pow1/2_binary64_13804`

Counts

4 → 54

Calls

8 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
0.0ms	(sqrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))))

series964.0ms (13.9%)

Counts

4 → 68

Calls

4 calls:

339.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
329.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
164.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
132.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

Compiler

Compiled 6201 to 3856 computations (37.8% saved)

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4989	3127
1	4989	3127

prune175.0ms (2.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	2	9	11
Picked	1	0	1
Done	1	0	1
Total	123	12	135

Error

17.5b

Counts

135 → 12

Compiler

Compiled 5686 to 1287 computations (77.4% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	305	1157
1	305	1157

regimes198.0ms (2.9%)

Accuracy

Total 0.9b remaining (4.7%)

Threshold costs 0.9b (4.7%)

Compiler

Compiled 2232 to 1407 computations (37% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms (0%)

sample2.8s (40.8%)

Algorithm

1×

intervals

Results

353.0ms	8000×	body	128	valid
97.0ms	2290×	body	128	nan

Compiler

Compiled 2306 to 1451 computations (37.1% saved)

Pareto

0.33900995767050845

Details

analyze454.0ms (6.6%)

sample27.0ms (0.4%)

simplify90.0ms (1.3%)

prune5.0ms (0.1%)

localize8.0ms (0.1%)

rewrite16.0ms (0.2%)

series273.0ms (3.9%)

simplify70.0ms (1%)

prune77.0ms (1.1%)

localize11.0ms (0.2%)

rewrite35.0ms (0.5%)

series554.0ms (8%)

simplify83.0ms (1.2%)

prune119.0ms (1.7%)

localize18.0ms (0.3%)

rewrite35.0ms (0.5%)

series573.0ms (8.3%)

simplify59.0ms (0.9%)

prune112.0ms (1.6%)

localize20.0ms (0.3%)

rewrite35.0ms (0.5%)

series964.0ms (13.9%)

simplify73.0ms (1.1%)

prune175.0ms (2.5%)

simplify15.0ms (0.2%)

regimes198.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (40.8%)

Profiling