Details

analyze301.0ms (4.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	86
1	4923	86
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%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune7.0ms (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 58 to 38 computations (34.5% 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 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 3 a))

rewrite180.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
14×	`add-cbrt-cube_binary64_1819`
10×	`add-cube-cbrt_binary64_1818` `associate-r_binary64_1723`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `cancel-sign-sub-inv_binary64_1749`
4×	`associate-*r/_binary64_1725`
3×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860`
2×	`unswap-sqr_binary64_1751` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-l_binary64_1724` `*-commutative_binary64_1714` `sub-neg_binary64_1776` `difference-of-squares_binary64_1752` `associate-+r+_binary64_1715`
1×	`distribute-lft-out_binary64_1734` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `flip3--_binary64_1787` `flip--_binary64_1758` `distribute-lft-out--_binary64_1735` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 87

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 3 a)))))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series784.0ms (10.7%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

380.0ms	(+.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 3 a)))))
198.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
84.0ms	(.f64 (.f64 b b) (+.f64 3 a))
45.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3588 to 2674 computations (25.5% saved)

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5161	2442

prune200.0ms (2.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	134	5	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	5	140

Error

Counts

140 → 5

Compiler

Compiled 4554 to 2390 computations (47.5% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.9b	(.f64 a (.f64 a (*.f64 b b)))
1.1b	(.f64 a (.f64 b b))
1.1b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite214.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
16×	`add-sqr-sqrt_binary64_1805`
15×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `*-un-lft-identity_binary64_1783`
12×	`associate-r_binary64_1723`
10×	`add-cube-cbrt_binary64_1818`
8×	`associate-l_binary64_1724`
6×	`cancel-sign-sub-inv_binary64_1749`
5×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
4×	`add-log-exp_binary64_1822` `associate-r/_binary64_1725` `-commutative_binary64_1714`
3×	`unswap-sqr_binary64_1751`
2×	`sub-neg_binary64_1776` `difference-of-squares_binary64_1752`
1×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `flip3--_binary64_1787` `flip--_binary64_1758` `distribute-lft-out--_binary64_1735`

Counts

4 → 96

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
7.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4174 to 2266 computations (45.7% saved)

series331.0ms (4.5%)

Error

Counts

4 → 27

Calls

4 calls:

88.0ms	(.f64 (.f64 b b) (+.f64 3 a))
85.0ms	(.f64 a (.f64 a (*.f64 b b)))
64.0ms	(.f64 a (.f64 b b))
53.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2783 to 1984 computations (28.7% saved)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4929	1229
1	4929	1229

prune215.0ms (2.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	124	4	128

Error

Counts

128 → 4

Compiler

Compiled 5013 to 2828 computations (43.6% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.1b	(.f64 (.f64 b b) (+.f64 3 a))
29.2b	(cbrt.f64 (.f64 a (.f64 b b)))
29.2b	(cbrt.f64 (.f64 a (.f64 b b)))
29.2b	(cbrt.f64 (.f64 a (.f64 b b)))

rewrite124.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
7×	`*-un-lft-identity_binary64_1783`
6×	`add-sqr-sqrt_binary64_1805`
5×	`add-cube-cbrt_binary64_1818`
4×	`add-log-exp_binary64_1822` `associate-r_binary64_1723`
3×	`pow1/3_binary64_1865` `cbrt-prod_binary64_1814` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
2×	`associate-*r/_binary64_1725`
1×	`unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-l_binary64_1724` `distribute-lft-out_binary64_1734` `*-commutative_binary64_1714`

Counts

4 → 51

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(cbrt.f64 (.f64 a (.f64 b b)))
4.0ms	(cbrt.f64 (.f64 a (.f64 b b)))
4.0ms	(cbrt.f64 (.f64 a (.f64 b b)))

Compiler

Compiled 2963 to 1238 computations (58.2% saved)

series768.0ms (10.4%)

Error

Counts

4 → 27

Calls

4 calls:

215.0ms	(cbrt.f64 (.f64 a (.f64 b b)))
211.0ms	(cbrt.f64 (.f64 a (.f64 b b)))
205.0ms	(cbrt.f64 (.f64 a (.f64 b b)))
87.0ms	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 4395 to 2659 computations (39.5% saved)

simplify94.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4819	831
1	4819	831

prune140.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Error

Counts

82 → 4

Compiler

Compiled 4377 to 1827 computations (58.3% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.1b	(.f64 (.f64 b b) (+.f64 3 a))
17.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
17.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
17.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite177.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`cbrt-prod_binary64_1814`
13×	`*-un-lft-identity_binary64_1783`
12×	`add-sqr-sqrt_binary64_1805`
11×	`add-cube-cbrt_binary64_1818`
9×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `unpow-prod-down_binary64_1862`
4×	`add-log-exp_binary64_1822` `associate-r_binary64_1723`
3×	`pow1/3_binary64_1865` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
2×	`associate-*r/_binary64_1725`
1×	`unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-l_binary64_1724` `distribute-lft-out_binary64_1734` `*-commutative_binary64_1714`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
4.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

Compiler

Compiled 4418 to 1987 computations (55% saved)

series1.0s (13.9%)

Error

Counts

4 → 63

Calls

4 calls:

259.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
257.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
257.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
93.0ms	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 8787 to 5548 computations (36.9% saved)

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4947	2949
1	4947	2949

prune313.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	135	4	139

Error

Counts

139 → 4

Compiler

Compiled 7929 to 3801 computations (52.1% saved)

regimes450.0ms (6.1%)

Accuracy

Total 0.0b remaining (68.1%)

Threshold costs 0.0b (68.1%)

Compiler

Compiled 7550 to 4965 computations (34.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	79
1	61	79

end0.0ms (0%)

sample1.6s (21.6%)

Algorithm

1×

intervals

Results

455.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 1356 to 893 computations (34.1% saved)

Details

analyze301.0ms (4.1%)

sample24.0ms (0.3%)

simplify85.0ms (1.1%)

prune7.0ms (0.1%)

localize15.0ms (0.2%)

rewrite180.0ms (2.4%)

series784.0ms (10.7%)

simplify72.0ms (1%)

prune200.0ms (2.7%)

localize23.0ms (0.3%)

rewrite214.0ms (2.9%)

series331.0ms (4.5%)

simplify92.0ms (1.3%)

prune215.0ms (2.9%)

localize26.0ms (0.4%)

rewrite124.0ms (1.7%)

series768.0ms (10.4%)

simplify94.0ms (1.3%)

prune140.0ms (1.9%)

localize21.0ms (0.3%)

rewrite177.0ms (2.4%)

series1.0s (13.9%)

simplify88.0ms (1.2%)

prune313.0ms (4.3%)

regimes450.0ms (6.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (21.6%)

Profiling