Details

analyze69.0ms (1.3%)

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify129.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5126	25

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_1464` `add-exp-log_binary64_1441`
8×	`add-cbrt-cube_binary64_1439`
7×	`add-sqr-sqrt_binary64_1425`
6×	`*-un-lft-identity_binary64_1403` `add-cube-cbrt_binary64_1438`
5×	`add-log-exp_binary64_1442`
3×	`pow-unpow_binary64_1480` `prod-exp_binary64_1452` `associate-l_binary64_1344` `unpow-prod-down_binary64_1482` `pow-prod-down_binary64_1474` `cbrt-unprod_binary64_1436`
1×	`unswap-sqr_binary64_1371` `flip3-+_binary64_1406` `pow-pow_binary64_1475` `+-commutative_binary64_1333` `pow-to-exp_binary64_1472` `pow-exp_binary64_1471` `associate-r_binary64_1343` `flip-+_binary64_1377` `unpow2_binary64_1468` `sqr-pow_binary64_1375` `sum-log_binary64_1494` `*-commutative_binary64_1334`

Counts

3 → 48

Calls

6 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series589.0ms (10.8%)

Counts

3 → 39

Calls

3 calls:

370.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
194.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
25.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1044 to 913 computations (12.5% saved)

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5040	1394

prune119.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Error

Counts

88 → 3

Compiler

Compiled 1818 to 920 computations (49.4% saved)

localize18.0ms (0.3%)

Local error

Found 6 expressions with local error:

2.4b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
0.0b	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
2.4b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64_1464` `add-exp-log_binary64_1441` `add-cbrt-cube_binary64_1439`
18×	`prod-exp_binary64_1452` `pow-prod-down_binary64_1474` `cbrt-unprod_binary64_1436`
12×	`add-log-exp_binary64_1442`
6×	`sum-log_binary64_1494`
5×	`add-sqr-sqrt_binary64_1425`
4×	`-un-lft-identity_binary64_1403` `associate-l*_binary64_1344` `add-cube-cbrt_binary64_1438`
2×	`associate-r_binary64_1343` `*-commutative_binary64_1334`
1×	`unswap-sqr_binary64_1371` `flip3-+_binary64_1406` `associate-+l+_binary64_1336` `+-commutative_binary64_1333` `flip-+_binary64_1377`

Counts

3 → 61

Calls

6 calls:

21.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
10.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
6.0ms	(.f64 4 (.f64 b b))
0.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
0.0ms	(.f64 4 (.f64 b b))

series488.0ms (8.9%)

Counts

3 → 27

Calls

3 calls:

367.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
94.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
26.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 900 to 781 computations (13.2% saved)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5483	1488

prune105.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 2328 to 1472 computations (36.8% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

24.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
24.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_1464` `add-exp-log_binary64_1441` `add-sqr-sqrt_binary64_1425`
9×	`*-un-lft-identity_binary64_1403` `add-cube-cbrt_binary64_1438` `add-cbrt-cube_binary64_1439`
7×	`cbrt-prod_binary64_1434`
6×	`unpow-prod-down_binary64_1482` `add-log-exp_binary64_1442`
3×	`pow-unpow_binary64_1480` `prod-exp_binary64_1452` `associate-l_binary64_1344` `pow-prod-down_binary64_1474` `cbrt-unprod_binary64_1436`
2×	`sqr-pow_binary64_1375`
1×	`unswap-sqr_binary64_1371` `flip3-+_binary64_1406` `pow-pow_binary64_1475` `pow1/3_binary64_1485` `+-commutative_binary64_1333` `pow-to-exp_binary64_1472` `pow-exp_binary64_1471` `associate-r_binary64_1343` `flip-+_binary64_1377` `sum-log_binary64_1494` `*-commutative_binary64_1334`

Counts

4 → 62

Calls

8 calls:

9.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
5.0ms	(.f64 4 (.f64 b b))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
0.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))

series709.0ms (13%)

Counts

4 → 54

Calls

4 calls:

372.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
187.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
122.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
28.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1476 to 1285 computations (12.9% saved)

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5595	2006

prune117.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Error

Counts

119 → 3

Compiler

Compiled 2480 to 1344 computations (45.8% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 b (+.f64 4 (.f64 (*.f64 a a) 2)))
0.0b	(.f64 (.f64 a a) 2)
0.0b	(+.f64 (pow.f64 b 3) (.f64 b (+.f64 4 (.f64 (*.f64 a a) 2))))
0.0b	(+.f64 4 (.f64 (.f64 a a) 2))
0.0b	(+.f64 (pow.f64 b 3) (.f64 b (+.f64 4 (.f64 (*.f64 a a) 2))))
0.0b	(+.f64 4 (.f64 (.f64 a a) 2))
0.1b	(.f64 b (+.f64 4 (.f64 (*.f64 a a) 2)))
0.1b	(.f64 b (+.f64 (pow.f64 b 3) (.f64 b (+.f64 4 (.f64 (.f64 a a) 2)))))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1425`
8×	`*-un-lft-identity_binary64_1403` `pow1_binary64_1464` `add-exp-log_binary64_1441` `add-cube-cbrt_binary64_1438` `add-cbrt-cube_binary64_1439` `add-log-exp_binary64_1442`
7×	`associate-r_binary64_1343`
6×	`associate-l_binary64_1344`
4×	`flip3-+_binary64_1406` `associate-*r/_binary64_1345` `flip-+_binary64_1377`
3×	`distribute-rgt-in_binary64_1353` `distribute-lft-in_binary64_1352`
2×	`unswap-sqr_binary64_1371` `prod-exp_binary64_1452` `cube-mult_binary64_1433` `+-commutative_binary64_1333` `associate-+r+_binary64_1335` `sum-log_binary64_1494` `pow-prod-down_binary64_1474` `*-commutative_binary64_1334` `distribute-lft-out_binary64_1354` `cbrt-unprod_binary64_1436`

Counts

4 → 70

Calls

8 calls:

11.0ms	(.f64 b (+.f64 (pow.f64 b 3) (.f64 b (+.f64 4 (.f64 (.f64 a a) 2)))))
9.0ms	(+.f64 (pow.f64 b 3) (.f64 b (+.f64 4 (.f64 (*.f64 a a) 2))))
6.0ms	(.f64 b (+.f64 4 (.f64 (*.f64 a a) 2)))
3.0ms	(+.f64 4 (.f64 (.f64 a a) 2))
0.0ms	(+.f64 4 (.f64 (.f64 a a) 2))

series563.0ms (10.3%)

Counts

4 → 39

Calls

4 calls:

229.0ms	(.f64 b (+.f64 (pow.f64 b 3) (.f64 b (+.f64 4 (.f64 (.f64 a a) 2)))))
181.0ms	(+.f64 (pow.f64 b 3) (.f64 b (+.f64 4 (.f64 (*.f64 a a) 2))))
106.0ms	(.f64 b (+.f64 4 (.f64 (*.f64 a a) 2)))
46.0ms	(+.f64 4 (.f64 (.f64 a a) 2))

Compiler

Compiled 996 to 881 computations (11.5% saved)

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5300	1921

prune117.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Error

Counts

112 → 3

Compiler

Compiled 2292 to 1511 computations (34.1% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	230	589
1	230	589

regimes182.0ms (3.3%)

Accuracy

Total 0.0b remaining (71.1%)

Threshold costs 0.0b (71.1%)

Compiler

Compiled 2200 to 1517 computations (31% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample1.8s (33.4%)

Algorithm

1×

intervals

Results

348.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 1215 to 840 computations (30.9% saved)

Pareto

0.5285002054949839

Details

analyze69.0ms (1.3%)

sample19.0ms (0.3%)

simplify129.0ms (2.4%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite25.0ms (0.5%)

series589.0ms (10.8%)

simplify71.0ms (1.3%)

prune119.0ms (2.2%)

localize18.0ms (0.3%)

rewrite43.0ms (0.8%)

series488.0ms (8.9%)

simplify64.0ms (1.2%)

prune105.0ms (1.9%)

localize13.0ms (0.2%)

rewrite30.0ms (0.5%)

series709.0ms (13%)

simplify50.0ms (0.9%)

prune117.0ms (2.2%)

localize11.0ms (0.2%)

rewrite35.0ms (0.6%)

series563.0ms (10.3%)

simplify41.0ms (0.8%)

prune117.0ms (2.1%)

simplify9.0ms (0.2%)

regimes182.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (33.4%)

Profiling