Details

analyze281.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5012	92
0	2	2
1	2	2

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)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5029	46

prune4.0ms (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 62 to 42 computations (32.3% saved)

localize15.0ms (0.2%)

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)
0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite174.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
14×	`add-cbrt-cube_binary64_1819`
10×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
8×	`add-cube-cbrt_binary64_1818`
7×	`associate-r_binary64_1723`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816`
4×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*r/_binary64_1725`
3×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860`
2×	`unswap-sqr_binary64_1751` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `associate-l_binary64_1724` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-+r+_binary64_1715`
1×	`flip3--_binary64_1787` `flip--_binary64_1758` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `distribute-lft-out_binary64_1734` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 80

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (+.f64 1 a))
9.0ms	(+.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))))))
9.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series801.0ms (12.9%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

390.0ms	(+.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))))))
188.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
92.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
51.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3720 to 2815 computations (24.3% saved)

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5452	2603

prune204.0ms (3.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	3	134

Error

Counts

134 → 3

Compiler

Compiled 4512 to 2482 computations (45% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
0.0b	(-.f64 4 (*.f64 a 12))
0.9b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
1.6b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))

rewrite190.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`add-log-exp_binary64_1822` `add-sqr-sqrt_binary64_1805`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `-un-lft-identity_binary64_1783` `associate-r*_binary64_1723`
4×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*r/_binary64_1725`
3×	`sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749`
2×	`unswap-sqr_binary64_1751` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-l_binary64_1724` `*-commutative_binary64_1714` `flip3--_binary64_1787` `flip--_binary64_1758` `associate-+l+_binary64_1716`
1×	`diff-log_binary64_1875` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 73

Calls

4 calls:

16.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
12.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
8.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
3.0ms	(-.f64 4 (*.f64 a 12))

Compiler

Compiled 3371 to 2170 computations (35.6% saved)

series698.0ms (11.2%)

Error

Counts

4 → 40

Calls

4 calls:

310.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
197.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
94.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
32.0ms	(-.f64 4 (*.f64 a 12))

Compiler

Compiled 3499 to 2714 computations (22.4% saved)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5492	2160

prune204.0ms (3.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	114	2	116

Error

Counts

116 → 2

Compiler

Compiled 4389 to 2852 computations (35% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 4 (*.f64 a 12))
0.1b	(.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4)))))
0.1b	(.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))
0.9b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

rewrite200.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
11×	`add-sqr-sqrt_binary64_1805`
8×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-r/_binary64_1725`
7×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-l_binary64_1724` `associate-r_binary64_1723`
6×	`add-log-exp_binary64_1822`
3×	`sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `*-commutative_binary64_1714`
2×	`unswap-sqr_binary64_1751` `flip3--_binary64_1787` `flip--_binary64_1758` `flip3-+_binary64_1786` `flip-+_binary64_1757`
1×	`diff-log_binary64_1875`

Counts

4 → 83

Calls

4 calls:

13.0ms	(.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4)))))
11.0ms	(.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))
8.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
3.0ms	(-.f64 4 (*.f64 a 12))

Compiler

Compiled 3716 to 2473 computations (33.4% saved)

series521.0ms (8.4%)

Error

Counts

4 → 37

Calls

4 calls:

181.0ms	(.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4)))))
159.0ms	(.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))
99.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
28.0ms	(-.f64 4 (*.f64 a 12))

Compiler

Compiled 3341 to 2565 computations (23.2% saved)

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5106	2065

prune208.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	120	2	122

Error

Counts

122 → 2

Compiler

Compiled 4659 to 3106 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_1805` `associate-l_binary64_1724`
7×	`*-un-lft-identity_binary64_1783`
6×	`add-exp-log_binary64_1821`
5×	`add-cube-cbrt_binary64_1818`
4×	`unpow-prod-down_binary64_1862` `unswap-sqr_binary64_1751` `cube-prod_binary64_1811` `associate-r_binary64_1723`
3×	`prod-exp_binary64_1832` `add-cbrt-cube_binary64_1819`
2×	`sqr-pow_binary64_1755` `associate-*r/_binary64_1725`
1×	`pow1_binary64_1844` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3-+_binary64_1786` `flip-+_binary64_1757` `unpow3_binary64_1849` `cube-mult_binary64_1813` `distribute-lft-out_binary64_1734` `*-commutative_binary64_1714`

Counts

1 → 36

Calls

1 calls:

9.0ms

(*.f64 (pow.f64 a 3) (+.f64 a 4))

Compiler

Compiled 576 to 443 computations (23.1% saved)

series62.0ms (1%)

Error

Counts

1 → 6

Calls

1 calls:

57.0ms

(*.f64 (pow.f64 a 3) (+.f64 a 4))

Compiler

Compiled 133 to 129 computations (3% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5198	491

prune35.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	42	2	44

Error

Counts

44 → 2

Compiler

Compiled 556 to 434 computations (21.9% saved)

regimes461.0ms (7.4%)

Accuracy

Total 0.0b remaining (70.6%)

Threshold costs 0.0b (70.6%)

Compiler

Compiled 7300 to 5290 computations (27.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	52
1	78	52

end0.0ms (0%)

sample1.8s (28.2%)

Algorithm

1×

intervals

Results

495.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 1374 to 1004 computations (26.9% saved)

Details

analyze281.0ms (4.5%)

sample25.0ms (0.4%)

simplify60.0ms (1%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite174.0ms (2.8%)

series801.0ms (12.9%)

simplify54.0ms (0.9%)

prune204.0ms (3.3%)

localize19.0ms (0.3%)

rewrite190.0ms (3%)

series698.0ms (11.2%)

simplify65.0ms (1%)

prune204.0ms (3.3%)

localize19.0ms (0.3%)

rewrite200.0ms (3.2%)

series521.0ms (8.4%)

simplify56.0ms (0.9%)

prune208.0ms (3.3%)

localize5.0ms (0.1%)

rewrite43.0ms (0.7%)

series62.0ms (1%)

simplify73.0ms (1.2%)

prune35.0ms (0.6%)

regimes461.0ms (7.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (28.2%)

Profiling