Details

analyze143.0ms (2.5%)

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%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify234.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4912	46
1	4912	46

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite48.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1_binary64_1850` `add-exp-log_binary64_1827`
14×	`add-cbrt-cube_binary64_1825`
10×	`*-un-lft-identity_binary64_1789` `add-sqr-sqrt_binary64_1811`
8×	`add-cube-cbrt_binary64_1824`
7×	`associate-r_binary64_1729`
6×	`pow-prod-down_binary64_1860` `cbrt-unprod_binary64_1822` `prod-exp_binary64_1838` `add-log-exp_binary64_1828`
4×	`associate-*r/_binary64_1731` `distribute-rgt-in_binary64_1739` `distribute-lft-in_binary64_1738`
3×	`unpow-prod-down_binary64_1868` `pow-unpow_binary64_1866`
2×	`associate-+r+_binary64_1721` `associate-l_binary64_1730` `sub-neg_binary64_1782` `*-commutative_binary64_1720` `cancel-sign-sub-inv_binary64_1755` `flip3-+_binary64_1792` `unswap-sqr_binary64_1757` `flip-+_binary64_1763`
1×	`flip3--_binary64_1793` `sqr-pow_binary64_1761` `distribute-lft-out_binary64_1740` `pow-exp_binary64_1857` `flip--_binary64_1764` `sum-log_binary64_1880` `+-commutative_binary64_1719` `pow-pow_binary64_1861` `pow-to-exp_binary64_1858` `unpow2_binary64_1854`

Counts

4 → 80

Calls

4 calls:

13.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
10.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
10.0ms	(.f64 (.f64 a a) (+.f64 1 a))
6.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series337.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
75.0ms	(.f64 (.f64 a a) (+.f64 1 a))
63.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
51.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5113	1848

prune149.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	5	93

Merged error: 0.0b

Counts

93 → 5

Compiler

Compiled 3621 to 1957 computations (46% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
2.6b	(.f64 (.f64 b b) (*.f64 a a))

rewrite82.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64_1850`
32×	`associate-*r/_binary64_1731`
26×	`add-cbrt-cube_binary64_1825` `add-exp-log_binary64_1827`
20×	`pow-prod-down_binary64_1860` `frac-add_binary64_1797`
14×	`cbrt-unprod_binary64_1822` `prod-exp_binary64_1838` `flip3-+_binary64_1792` `flip-+_binary64_1763`
13×	`add-log-exp_binary64_1828`
8×	`associate-r_binary64_1729` `*-un-lft-identity_binary64_1789` `add-sqr-sqrt_binary64_1811`
6×	`sum-log_binary64_1880` `add-cube-cbrt_binary64_1824`
5×	`flip3--_binary64_1793` `flip--_binary64_1764`
4×	`distribute-rgt-in_binary64_1739` `pow-plus_binary64_1852` `pow-prod-up_binary64_1859` `distribute-lft-in_binary64_1738`
3×	`associate-l_binary64_1730` `*-commutative_binary64_1720` `unswap-sqr_binary64_1757`
2×	`associate-+r+_binary64_1721` `sub-neg_binary64_1782` `pow2_binary64_1870` `cancel-sign-sub-inv_binary64_1755` `pow-sqr_binary64_1762`
1×	`distribute-lft-out_binary64_1740` `+-commutative_binary64_1719` `associate-+l+_binary64_1722`

Counts

4 → 106

Calls

4 calls:

31.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
11.0ms	(.f64 (.f64 b b) (*.f64 a a))
10.0ms	(.f64 (.f64 a a) (+.f64 1 a))
10.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series335.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
71.0ms	(.f64 (.f64 a a) (+.f64 1 a))
70.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
47.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4936	4777
1	4936	4777

prune296.0ms (5.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

Compiler

Compiled 6636 to 4016 computations (39.5% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (*.f64 a a) (+.f64 1 a)))))))
10.1b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))))
10.1b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))))
10.1b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))))

rewrite80.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1820`
23×	`add-sqr-sqrt_binary64_1811`
18×	`cbrt-div_binary64_1821`
15×	`*-un-lft-identity_binary64_1789` `add-cube-cbrt_binary64_1824`
11×	`pow1_binary64_1850`
9×	`pow1/3_binary64_1871` `flip3-+_binary64_1792` `flip-+_binary64_1763`
6×	`associate-l_binary64_1730` `swap-sqr_binary64_1756` `associate-r_binary64_1729` `add-exp-log_binary64_1827`
4×	`frac-times_binary64_1799` `add-cbrt-cube_binary64_1825` `unswap-sqr_binary64_1757` `add-log-exp_binary64_1828`
2×	`associate-r/_binary64_1731` `pow-prod-down_binary64_1860` `pow-prod-up_binary64_1859` `pow-sqr_binary64_1762` `associate-l/_binary64_1732`
1×	`cbrt-unprod_binary64_1822` `*-commutative_binary64_1720` `prod-exp_binary64_1838` `pow-plus_binary64_1852` `pow2_binary64_1870`

Counts

4 → 87

Calls

4 calls:

23.0ms	(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (*.f64 a a) (+.f64 1 a)))))))
8.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))))
8.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))))
8.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))))

series1.4s (23.9%)

Counts

4 → 12

Calls

4 calls:

457.0ms	(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (*.f64 a a) (+.f64 1 a)))))))
310.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))))
310.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))))
305.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))))

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5218	7108

prune480.0ms (8.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

Compiler

Compiled 10920 to 5856 computations (46.4% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
10.2b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
10.2b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1811`
10×	`pow1_binary64_1850` `*-un-lft-identity_binary64_1789` `add-exp-log_binary64_1827` `add-cube-cbrt_binary64_1824`
9×	`add-cbrt-cube_binary64_1825` `cbrt-prod_binary64_1820`
6×	`unpow-prod-down_binary64_1868`
4×	`cbrt-div_binary64_1821` `add-log-exp_binary64_1828`
3×	`pow-prod-down_binary64_1860` `cbrt-unprod_binary64_1822` `pow1/3_binary64_1871` `prod-exp_binary64_1838` `associate-r_binary64_1729` `pow-unpow_binary64_1866`
2×	`associate-*r/_binary64_1731` `distribute-rgt-in_binary64_1739` `sub-neg_binary64_1782` `cancel-sign-sub-inv_binary64_1755` `pow-pow_binary64_1861` `distribute-lft-in_binary64_1738` `flip3-+_binary64_1792` `flip-+_binary64_1763`
1×	`flip3--_binary64_1793` `associate-l_binary64_1730` `sqr-pow_binary64_1761` `*-commutative_binary64_1720` `pow-exp_binary64_1857` `flip--_binary64_1764` `unswap-sqr_binary64_1757` `pow-to-exp_binary64_1858`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
6.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
5.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
4.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

series580.0ms (10%)

Counts

4 → 12

Calls

4 calls:

224.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
159.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
131.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
66.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4893	1409
1	4893	1409

prune150.0ms (2.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

Compiler

Compiled 4036 to 1891 computations (53.1% saved)

regimes120.0ms (2.1%)

Compiler: Compiled 1675 to 1009 computations (39.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	58
1	77	58

end0.0ms (0%)

sample914.0ms (15.8%)

Algorithm

1×

intervals

Results

548.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 334 to 207 computations (38% saved)

Details

analyze143.0ms (2.5%)

sample26.0ms (0.4%)

simplify234.0ms (4%)

prune3.0ms (0.1%)

localize18.0ms (0.3%)

rewrite48.0ms (0.8%)

series337.0ms (5.8%)

simplify43.0ms (0.7%)

prune149.0ms (2.6%)

localize25.0ms (0.4%)

rewrite82.0ms (1.4%)

series335.0ms (5.8%)

simplify94.0ms (1.6%)

prune296.0ms (5.1%)

localize27.0ms (0.5%)

rewrite80.0ms (1.4%)

series1.4s (23.9%)

simplify90.0ms (1.5%)

prune480.0ms (8.3%)

localize26.0ms (0.4%)

rewrite36.0ms (0.6%)

series580.0ms (10%)

simplify75.0ms (1.3%)

prune150.0ms (2.6%)

regimes120.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample914.0ms (15.8%)

Profiling