Details

analyze129.0ms (1.7%)

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)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5029	46

prune3.0ms (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)

localize18.0ms (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)
1.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite172.0ms (2.2%)

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:

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))))))
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)

series841.0ms (10.9%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

400.0ms	(+.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))))))
198.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
115.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
43.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3786 to 2858 computations (24.5% saved)

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5452	2616

prune200.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	4	135

Error

0.0b

Counts

135 → 4

Compiler

Compiled 4576 to 2511 computations (45.1% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.6b	(.f64 a (.f64 a (*.f64 b b)))
1.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.3b	(.f64 a (.f64 b b))

rewrite211.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

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

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series341.0ms (4.4%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

112.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
80.0ms	(.f64 a (.f64 a (*.f64 b b)))
61.0ms	(.f64 a (.f64 b b))
48.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2899 to 2100 computations (27.6% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5115	1249

prune220.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	116	4	120

Error

0.0b

Counts

120 → 4

Compiler

Compiled 4898 to 2865 computations (41.5% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
1.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
11.8b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
11.8b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

rewrite154.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_1805`
10×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`add-cbrt-cube_binary64_1819` `cbrt-prod_binary64_1814`
6×	`unpow-prod-down_binary64_1862`
4×	`add-log-exp_binary64_1822` `cbrt-div_binary64_1815`
3×	`pow1/3_binary64_1865` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r_binary64_1723` `pow-unpow_binary64_1860`
2×	`flip3-+_binary64_1786` `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`
1×	`unswap-sqr_binary64_1751` `flip3--_binary64_1787` `flip--_binary64_1758` `associate-l_binary64_1724` `*-commutative_binary64_1714` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `sqr-pow_binary64_1755`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
4.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
4.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 3764 to 1658 computations (56% saved)

series1.5s (19.1%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

519.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
335.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
322.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
111.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 8920 to 6240 computations (30% saved)

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4992	3316
1	4992	3316

prune317.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	144	4	148

Error

0.0b

Counts

148 → 4

Compiler

Compiled 7408 to 3757 computations (49.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
1.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
24.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

rewrite161.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
4.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

Compiler

Compiled 3253 to 1779 computations (45.3% saved)

series645.0ms (8.4%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

202.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))
196.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
111.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
51.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 4612 to 3389 computations (26.5% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5086	2272

prune221.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	138	4	142

Error

0.0b

Counts

142 → 4

Compiler

Compiled 5017 to 2867 computations (42.9% saved)

regimes431.0ms (5.6%)

Accuracy

Total 0.0b remaining (74.4%)

Threshold costs 0.0b (74.4%)

Compiler

Compiled 6660 to 4511 computations (32.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample1.6s (21%)

Algorithm

1×

intervals

Results

518.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 1163 to 797 computations (31.5% saved)

Details

analyze129.0ms (1.7%)

sample25.0ms (0.3%)

simplify152.0ms (2%)

prune3.0ms (0%)

localize18.0ms (0.2%)

rewrite172.0ms (2.2%)

series841.0ms (10.9%)

simplify51.0ms (0.7%)

prune200.0ms (2.6%)

localize26.0ms (0.3%)

rewrite211.0ms (2.7%)

series341.0ms (4.4%)

simplify66.0ms (0.9%)

prune220.0ms (2.9%)

localize22.0ms (0.3%)

rewrite154.0ms (2%)

series1.5s (19.1%)

simplify85.0ms (1.1%)

prune317.0ms (4.1%)

localize18.0ms (0.2%)

rewrite161.0ms (2.1%)

series645.0ms (8.4%)

simplify80.0ms (1%)

prune221.0ms (2.9%)

regimes431.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (21%)

Profiling