Details

analyze76.0ms (1.6%)

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
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 (0.4%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify136.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5126	25

prune3.0ms (0.1%)

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)

localize14.0ms (0.3%)

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)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_1797` `add-exp-log_binary64_1774`
8×	`add-cbrt-cube_binary64_1772`
7×	`add-sqr-sqrt_binary64_1758`
6×	`add-cube-cbrt_binary64_1771` `*-un-lft-identity_binary64_1736`
5×	`add-log-exp_binary64_1775`
3×	`pow-unpow_binary64_1813` `unpow-prod-down_binary64_1815` `cbrt-unprod_binary64_1769` `associate-l_binary64_1677` `prod-exp_binary64_1785` `pow-prod-down_binary64_1807`
1×	`pow-pow_binary64_1808` `sqr-pow_binary64_1708` `associate-r_binary64_1676` `sum-log_binary64_1827` `flip-+_binary64_1710` `*-commutative_binary64_1667` `pow-to-exp_binary64_1805` `flip3-+_binary64_1739` `pow-exp_binary64_1804` `unpow2_binary64_1801` `unswap-sqr_binary64_1704` `+-commutative_binary64_1666`

Counts

3 → 48

Calls

6 calls:

8.0ms	(+.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	(.f64 4 (.f64 b b))

series614.0ms (13.1%)

Counts

3 → 39

Calls

3 calls:

392.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
195.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
26.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1044 to 913 computations (12.5% saved)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5040	1394

prune122.0ms (2.6%)

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)

localize15.0ms (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)))

rewrite46.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64_1797` `add-cbrt-cube_binary64_1772` `add-exp-log_binary64_1774`
18×	`cbrt-unprod_binary64_1769` `prod-exp_binary64_1785` `pow-prod-down_binary64_1807`
12×	`add-log-exp_binary64_1775`
6×	`sum-log_binary64_1827`
5×	`add-sqr-sqrt_binary64_1758`
4×	`associate-l_binary64_1677` `add-cube-cbrt_binary64_1771` `*-un-lft-identity_binary64_1736`
2×	`associate-r_binary64_1676` `*-commutative_binary64_1667`
1×	`flip-+_binary64_1710` `flip3-+_binary64_1739` `unswap-sqr_binary64_1704` `associate-+l+_binary64_1669` `+-commutative_binary64_1666`

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)))
5.0ms	(.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 (.f64 a a) (.f64 b (.f64 b 2)))

series513.0ms (11%)

Counts

3 → 27

Calls

3 calls:

393.0ms	(+.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)))
91.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
29.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 900 to 781 computations (13.2% saved)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5483	1488

prune107.0ms (2.3%)

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)

localize12.0ms (0.3%)

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))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1758` `pow1_binary64_1797` `add-exp-log_binary64_1774`
9×	`add-cbrt-cube_binary64_1772` `add-cube-cbrt_binary64_1771` `*-un-lft-identity_binary64_1736`
7×	`cbrt-prod_binary64_1767`
6×	`unpow-prod-down_binary64_1815` `add-log-exp_binary64_1775`
3×	`pow-unpow_binary64_1813` `cbrt-unprod_binary64_1769` `associate-l_binary64_1677` `prod-exp_binary64_1785` `pow-prod-down_binary64_1807`
2×	`sqr-pow_binary64_1708`
1×	`pow-pow_binary64_1808` `pow1/3_binary64_1818` `associate-r_binary64_1676` `sum-log_binary64_1827` `flip-+_binary64_1710` `*-commutative_binary64_1667` `pow-to-exp_binary64_1805` `flip3-+_binary64_1739` `pow-exp_binary64_1804` `unswap-sqr_binary64_1704` `+-commutative_binary64_1666`

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)))

series742.0ms (15.8%)

Counts

4 → 54

Calls

4 calls:

399.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
196.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
120.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
26.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1476 to 1285 computations (12.9% saved)

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5595	2006

prune116.0ms (2.5%)

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)

localize12.0ms (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)))))

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1758`
8×	`pow1_binary64_1797` `add-cbrt-cube_binary64_1772` `add-exp-log_binary64_1774` `add-log-exp_binary64_1775` `add-cube-cbrt_binary64_1771` `*-un-lft-identity_binary64_1736`
7×	`associate-r_binary64_1676`
6×	`associate-l_binary64_1677`
4×	`flip-+_binary64_1710` `associate-*r/_binary64_1678` `flip3-+_binary64_1739`
3×	`distribute-rgt-in_binary64_1686` `distribute-lft-in_binary64_1685`
2×	`cube-mult_binary64_1766` `distribute-lft-out_binary64_1687` `associate-+r+_binary64_1668` `sum-log_binary64_1827` `cbrt-unprod_binary64_1769` `*-commutative_binary64_1667` `unswap-sqr_binary64_1704` `prod-exp_binary64_1785` `+-commutative_binary64_1666` `pow-prod-down_binary64_1807`

Counts

4 → 70

Calls

8 calls:

13.0ms	(.f64 b (+.f64 (pow.f64 b 3) (.f64 b (+.f64 4 (.f64 (.f64 a a) 2)))))
8.0ms	(+.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))

series586.0ms (12.5%)

Counts

4 → 39

Calls

4 calls:

243.0ms	(.f64 b (+.f64 (pow.f64 b 3) (.f64 b (+.f64 4 (.f64 (.f64 a a) 2)))))
190.0ms	(+.f64 (pow.f64 b 3) (.f64 b (+.f64 4 (.f64 (*.f64 a a) 2))))
110.0ms	(.f64 b (+.f64 4 (.f64 (*.f64 a a) 2)))
43.0ms	(+.f64 4 (.f64 (.f64 a a) 2))

Compiler

Compiled 996 to 881 computations (11.5% saved)

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5300	1921

prune117.0ms (2.5%)

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)

regimes235.0ms (5%)

Accuracy

Total 0.0b remaining (71.1%)

Threshold costs 0.0b (71.1%)

Compiler

Compiled 3038 to 2039 computations (32.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample865.0ms (18.5%)

Algorithm

1×

intervals

Results

351.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 439 to 300 computations (31.7% saved)

Pareto

Details

analyze76.0ms (1.6%)

sample19.0ms (0.4%)

simplify136.0ms (2.9%)

prune3.0ms (0.1%)

localize14.0ms (0.3%)

rewrite23.0ms (0.5%)

series614.0ms (13.1%)

simplify75.0ms (1.6%)

prune122.0ms (2.6%)

localize15.0ms (0.3%)

rewrite46.0ms (1%)

series513.0ms (11%)

simplify63.0ms (1.3%)

prune107.0ms (2.3%)

localize12.0ms (0.3%)

rewrite29.0ms (0.6%)

series742.0ms (15.8%)

simplify54.0ms (1.2%)

prune116.0ms (2.5%)

localize12.0ms (0.2%)

rewrite37.0ms (0.8%)

series586.0ms (12.5%)

simplify50.0ms (1.1%)

prune117.0ms (2.5%)

regimes235.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample865.0ms (18.5%)

Profiling