Details

analyze339.0ms (2.2%)

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)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5029	46

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

localize19.0ms (0.1%)

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)
1.1b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite198.0ms (1.3%)

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:

8.0ms	(+.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))))))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series1.2s (7.5%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

563.0ms	(+.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))))))
283.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
159.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
74.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3786 to 2858 computations (24.5% saved)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5452	2616

prune247.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	5	135

Error

Counts

135 → 5

Compiler

Compiled 4717 to 2597 computations (44.9% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.5b	(.f64 a (.f64 a (*.f64 b b)))
1.1b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.2b	(.f64 a (.f64 b b))

rewrite220.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
15×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
11×	`add-sqr-sqrt_binary64_1805`
10×	`*-un-lft-identity_binary64_1783`
9×	`associate-r_binary64_1723`
8×	`add-cube-cbrt_binary64_1818` `associate-l_binary64_1724`
4×	`add-log-exp_binary64_1822` `-commutative_binary64_1714` `associate-r/_binary64_1725`
3×	`unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
2×	`sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749`
1×	`flip3--_binary64_1787` `flip--_binary64_1758` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734`

Counts

4 → 89

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series521.0ms (3.3%)

Error

Counts

4 → 27

Calls

4 calls:

165.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
118.0ms	(.f64 a (.f64 a (*.f64 b b)))
104.0ms	(.f64 a (.f64 b b))
82.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2899 to 2100 computations (27.6% saved)

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5115	1249

prune247.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	116	5	121

Error

Counts

121 → 5

Compiler

Compiled 5039 to 2951 computations (41.4% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
10.1b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
10.1b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
10.1b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))

rewrite408.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `cbrt-prod_binary64_1814` `add-sqr-sqrt_binary64_1805`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`cbrt-div_binary64_1815`
4×	`add-log-exp_binary64_1822`
3×	`pow1/3_binary64_1865` `flip3-+_binary64_1786` `flip-+_binary64_1757` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
2×	`associate-*l/_binary64_1726`
1×	`unswap-sqr_binary64_1751` `flip3--_binary64_1787` `flip--_binary64_1758` `associate-r_binary64_1723` `*-commutative_binary64_1714`

Counts

4 → 60

Calls

4 calls:

9.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
8.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))

Compiler

Compiled 7102 to 3779 computations (46.8% saved)

series6.6s (41.8%)

Error

Counts

4 → 78

Calls

4 calls:

1.9s	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
1.8s	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
1.8s	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
193.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))

Compiler

Compiled 24391 to 17576 computations (27.9% saved)

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5364	10649

prune1.3s (8.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	138	5	143

Error

Counts

143 → 5

Compiler

Compiled 17003 to 9995 computations (41.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)) 3)
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.1b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
24.3b	(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)) 3))

rewrite256.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_1814`
15×	`unpow-prod-down_binary64_1862`
14×	`add-sqr-sqrt_binary64_1805`
13×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`cube-prod_binary64_1811`
11×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
10×	`add-cbrt-cube_binary64_1819` `cube-mult_binary64_1813`
6×	`unpow3_binary64_1849` `pow-unpow_binary64_1860`
4×	`add-log-exp_binary64_1822` `cube-div_binary64_1812` `distribute-rgt1-in_binary64_1739` `distribute-rgt-out_binary64_1736` `distribute-lft-out_binary64_1734`
3×	`sqr-pow_binary64_1755` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r_binary64_1723`
2×	`flip3-+_binary64_1786` `cbrt-div_binary64_1815` `flip-+_binary64_1757` `sub-neg_binary64_1776` `distribute-rgt-in_binary64_1733` `cancel-sign-sub-inv_binary64_1749` `distribute-lft-in_binary64_1732` `associate-*r/_binary64_1725` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
1×	`pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `unswap-sqr_binary64_1751` `flip3--_binary64_1787` `flip--_binary64_1758` `associate-l_binary64_1724` `*-commutative_binary64_1714` `unpow2_binary64_1848` `rem-cube-cbrt_binary64_1806`

Counts

4 → 103

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(pow.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)) 3)
8.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)) 3))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 4419 to 2544 computations (42.4% saved)

series719.0ms (4.6%)

Error

Counts

4 → 45

Calls

4 calls:

298.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
180.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
95.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)) 3))
71.0ms	(pow.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)) 3)

Compiler

Compiled 3679 to 2672 computations (27.4% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5096	2218

prune292.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	148	5	153

Error

Counts

153 → 5

Compiler

Compiled 5509 to 3140 computations (43% saved)

regimes646.0ms (4.1%)

Accuracy

Total 0.0b remaining (79.6%)

Threshold costs 0.0b (79.6%)

Compiler

Compiled 9986 to 6542 computations (34.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample2.0s (13%)

Algorithm

1×

intervals

Results

692.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 1771 to 1175 computations (33.7% saved)

Details

analyze339.0ms (2.2%)

sample26.0ms (0.2%)

simplify57.0ms (0.4%)

prune4.0ms (0%)

localize19.0ms (0.1%)

rewrite198.0ms (1.3%)

series1.2s (7.5%)

simplify52.0ms (0.3%)

prune247.0ms (1.6%)

localize22.0ms (0.1%)

rewrite220.0ms (1.4%)

series521.0ms (3.3%)

simplify66.0ms (0.4%)

prune247.0ms (1.6%)

localize23.0ms (0.1%)

rewrite408.0ms (2.6%)

series6.6s (41.8%)

simplify110.0ms (0.7%)

prune1.3s (8.5%)

localize21.0ms (0.1%)

rewrite256.0ms (1.6%)

series719.0ms (4.6%)

simplify63.0ms (0.4%)

prune292.0ms (1.9%)

regimes646.0ms (4.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (13%)

Profiling