Details

analyze24.0ms (0.7%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify102.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 14.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

14.5b

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64_1814`
3×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `times-frac_binary64_1789`
1×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `div-inv_binary64_1780` `cbrt-div_binary64_1815` `pow1/3_binary64_1865` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

1 → 16

Calls

1 calls:

4.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

series83.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

83.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify67.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4895	244
1	4895	244

prune28.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	12	7	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	8	20

Merged error: 0.2b

Counts

20 → 8

Compiler

Compiled 285 to 214 computations (24.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b	(cbrt.f64 (/.f64 1/2 a))
0.6b	(cbrt.f64 g)

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_1814`
35×	`add-sqr-sqrt_binary64_1805`
21×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
20×	`times-frac_binary64_1789`
16×	`associate-r_binary64_1723`
6×	`associate-l_binary64_1724` `unswap-sqr_binary64_1751`
5×	`add-exp-log_binary64_1821` `pow1_binary64_1844`
4×	`pow1/3_binary64_1865`
3×	`add-cbrt-cube_binary64_1819` `add-log-exp_binary64_1822`
2×	`div-inv_binary64_1780` `cbrt-div_binary64_1815` `pow-prod-down_binary64_1854`
1×	`associate-r/_binary64_1725` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `-commutative_binary64_1714`

Counts

3 → 74

Calls

3 calls:

10.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

series292.0ms (8.2%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(cbrt.f64 (/.f64 1/2 a))
98.0ms	(cbrt.f64 g)
94.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

simplify95.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4938	1089
1	4938	1089

prune88.0ms (2.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	73	10	83
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	77	14	91

Merged error: 0.0b

Counts

91 → 14

Compiler

Compiled 1197 to 797 computations (33.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
0.5b	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
0.6b	(cbrt.f64 g)
0.7b	(cbrt.f64 (/.f64 1 a))

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_1814`
32×	`add-sqr-sqrt_binary64_1805`
24×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
22×	`associate-r_binary64_1723`
18×	`times-frac_binary64_1789`
11×	`add-exp-log_binary64_1821` `pow1_binary64_1844`
7×	`associate-l_binary64_1724` `pow1/3_binary64_1865` `pow-prod-down_binary64_1854`
5×	`add-cbrt-cube_binary64_1819`
4×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
2×	`div-inv_binary64_1780` `cbrt-div_binary64_1815` `*-commutative_binary64_1714`
1×	`associate-*r/_binary64_1725`

Counts

4 → 94

Calls

4 calls:

10.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
6.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
5.0ms	(cbrt.f64 (/.f64 1 a))
1.0ms	(cbrt.f64 g)

series378.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
92.0ms	(cbrt.f64 g)
91.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
77.0ms	(cbrt.f64 (/.f64 1 a))

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4917	1239
1	4917	1239

prune107.0ms (3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	106	14	120

Merged error: 0.0b

Counts

120 → 14

Compiler

Compiled 1640 to 1175 computations (28.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
0.6b	(cbrt.f64 g)
1.0b	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`cbrt-prod_binary64_1814`
34×	`add-sqr-sqrt_binary64_1805`
26×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
18×	`times-frac_binary64_1789`
11×	`pow1_binary64_1844`
9×	`pow1/3_binary64_1865`
6×	`swap-sqr_binary64_1750` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-cbrt-cube_binary64_1819` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
2×	`pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-plus_binary64_1846` `div-inv_binary64_1780` `cbrt-div_binary64_1815` `*-commutative_binary64_1714` `pow2_binary64_1864`

Counts

4 → 91

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
3.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0ms	(cbrt.f64 g)

series223.0ms (6.3%)

Counts

4 → 8

Calls

4 calls:

138.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
84.0ms	(cbrt.f64 g)
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
0.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))

simplify101.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5047	1067

prune122.0ms (3.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	98	15	113

Merged error: 0b

Counts

113 → 15

Compiler

Compiled 1861 to 1509 computations (18.9% saved)

regimes455.0ms (12.8%)

Compiler: Compiled 3783 to 3367 computations (11% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	9	11

end0.0ms (0%)

sample1.2s (33.4%)

Algorithm

1×

intervals

Results

216.0ms

8000×

body

128

valid

Compiler

Compiled 704 to 628 computations (10.8% saved)

Details

analyze24.0ms (0.7%)

sample13.0ms (0.4%)

simplify102.0ms (2.9%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series83.0ms (2.3%)

simplify67.0ms (1.9%)

prune28.0ms (0.8%)

localize6.0ms (0.2%)

rewrite19.0ms (0.5%)

series292.0ms (8.2%)

simplify95.0ms (2.7%)

prune88.0ms (2.5%)

localize9.0ms (0.3%)

rewrite30.0ms (0.8%)

series378.0ms (10.6%)

simplify81.0ms (2.3%)

prune107.0ms (3%)

localize11.0ms (0.3%)

rewrite22.0ms (0.6%)

series223.0ms (6.3%)

simplify101.0ms (2.8%)

prune122.0ms (3.4%)

regimes455.0ms (12.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (33.4%)

Profiling