Details

analyze24.0ms (0.5%)

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)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify168.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

prune3.0ms (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: 18.2b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

17.8b

(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)))

series153.0ms (3.4%)

Counts

1 → 3

Calls

1 calls:

153.0ms

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

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5015	244

prune26.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	11	8	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	9	20

Merged error: 0.3b

Counts

20 → 9

Compiler

Compiled 300 to 227 computations (24.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite22.0ms (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:

13.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

series498.0ms (11.1%)

Counts

3 → 9

Calls

3 calls:

172.0ms	(cbrt.f64 (/.f64 1/2 a))
169.0ms	(cbrt.f64 g)
157.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

simplify147.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4829	1045
1	4829	1045

prune91.0ms (2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	70	13	83
Fresh	4	3	7
Picked	0	1	1
Done	1	0	1
Total	75	17	92

Merged error: 0.0b

Counts

92 → 17

Compiler

Compiled 1233 to 839 computations (32% saved)

localize9.0ms (0.2%)

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 (/.f64 1 a))
0.6b	(cbrt.f64 g)

rewrite29.0ms (0.7%)

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:

11.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
7.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
3.0ms	(cbrt.f64 (/.f64 1 a))
1.0ms	(cbrt.f64 g)

series642.0ms (14.2%)

Counts

4 → 12

Calls

4 calls:

196.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
169.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
148.0ms	(cbrt.f64 g)
129.0ms	(cbrt.f64 (/.f64 1 a))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4917	1239
1	4917	1239

prune111.0ms (2.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	3	12	15
Picked	1	0	1
Done	0	1	1
Total	106	17	123

Merged error: 0.0b

Counts

123 → 17

Compiler

Compiled 1716 to 1235 computations (28% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(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))

rewrite24.0ms (0.5%)

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)

series379.0ms (8.4%)

Counts

4 → 8

Calls

4 calls:

213.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
166.0ms	(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)))

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5137	1007

prune120.0ms (2.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	15	15
Picked	0	1	1
Done	1	0	1
Total	99	17	116

Merged error: 0.0b

Counts

116 → 17

Compiler

Compiled 1829 to 1480 computations (19.1% saved)

regimes498.0ms (11.1%)

Compiler: Compiled 4208 to 3772 computations (10.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms (0%)

sample1.3s (28.9%)

Algorithm

1×

intervals

Results

220.0ms

8000×

body

128

valid

Compiler

Compiled 792 to 712 computations (10.1% saved)

Details

analyze24.0ms (0.5%)

sample14.0ms (0.3%)

simplify168.0ms (3.7%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series153.0ms (3.4%)

simplify66.0ms (1.5%)

prune26.0ms (0.6%)

localize6.0ms (0.1%)

rewrite22.0ms (0.5%)

series498.0ms (11.1%)

simplify147.0ms (3.3%)

prune91.0ms (2%)

localize9.0ms (0.2%)

rewrite29.0ms (0.7%)

series642.0ms (14.2%)

simplify62.0ms (1.4%)

prune111.0ms (2.5%)

localize11.0ms (0.2%)

rewrite24.0ms (0.5%)

series379.0ms (8.4%)

simplify94.0ms (2.1%)

prune120.0ms (2.7%)

regimes498.0ms (11.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (28.9%)

Profiling