Details

analyze19.0ms (0.4%)

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
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	240×	body	128	valid
0.0ms	5×	body	2048	valid
0.0ms	6×	body	1024	valid
0.0ms	5×	body	512	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify171.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	79	7
1	79	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_6853`
1×	`pow1_binary64_6875` `add-exp-log_binary64_6852` `diff-log_binary64_6906` `*-un-lft-identity_binary64_6817` `sub-neg_binary64_6810` `flip3--_binary64_6821` `add-sqr-sqrt_binary64_6838` `add-cbrt-cube_binary64_6850` `flip--_binary64_6792` `add-cube-cbrt_binary64_6849`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 x (*.f64 3/8 y))

series42.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

42.0ms

(-.f64 x (*.f64 3/8 y))

simplify106.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4818	161
1	4818	161

prune15.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	4	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

Compiler

Compiled 190 to 138 computations (27.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6845`
23×	`add-sqr-sqrt_binary64_6838`
18×	`cbrt-div_binary64_6846`
15×	`*-un-lft-identity_binary64_6817` `add-cube-cbrt_binary64_6849`
11×	`pow1_binary64_6875`
9×	`pow1/3_binary64_6896` `flip3--_binary64_6821` `flip--_binary64_6792`
6×	`associate-r_binary64_6759` `add-exp-log_binary64_6852` `swap-sqr_binary64_6784` `associate-l_binary64_6760`
4×	`unswap-sqr_binary64_6785` `add-cbrt-cube_binary64_6850` `frac-times_binary64_6827` `add-log-exp_binary64_6853`
2×	`pow-prod-down_binary64_6885` `associate-l/_binary64_6762` `pow-prod-up_binary64_6884` `pow-sqr_binary64_6790` `associate-r/_binary64_6761`
1×	`pow2_binary64_6895` `pow-plus_binary64_6877` `cbrt-unprod_binary64_6847` `prod-exp_binary64_6863` `*-commutative_binary64_6750`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series932.0ms (19.3%)

Counts

4 → 12

Calls

4 calls:

250.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
233.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
228.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
221.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4844	1829
1	4844	1829

prune146.0ms (3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

Compiler

Compiled 2704 to 1970 computations (27.1% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod_binary64_6845`
10×	`*-un-lft-identity_binary64_6817` `add-sqr-sqrt_binary64_6838` `add-cube-cbrt_binary64_6849`
6×	`cbrt-div_binary64_6846` `unpow-prod-down_binary64_6893`
4×	`pow1_binary64_6875` `add-exp-log_binary64_6852` `pow1/3_binary64_6896` `add-cbrt-cube_binary64_6850` `add-log-exp_binary64_6853`
3×	`flip3--_binary64_6821` `flip--_binary64_6792`
1×	`unpow2_binary64_6879` `sqr-pow_binary64_6789`

Counts

4 → 58

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series958.0ms (19.8%)

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
238.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
230.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
229.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify112.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4786	1203
1	4786	1203

prune143.0ms (2.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

Compiler

Compiled 2705 to 2041 computations (24.5% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64_6845`
18×	`unpow-prod-down_binary64_6893`
14×	`*-un-lft-identity_binary64_6817` `add-sqr-sqrt_binary64_6838` `add-cube-cbrt_binary64_6849`
4×	`pow1_binary64_6875` `add-exp-log_binary64_6852` `pow1/3_binary64_6896` `add-cbrt-cube_binary64_6850` `add-log-exp_binary64_6853`
3×	`unpow2_binary64_6879` `sqr-pow_binary64_6789`
2×	`cbrt-div_binary64_6846`
1×	`flip3--_binary64_6821` `flip--_binary64_6792`

Counts

4 → 70

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
6.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
6.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series1.0s (20.9%)

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
257.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
257.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
233.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify112.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4786	1649
1	4786	1649

prune197.0ms (4.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

Compiler

Compiled 3493 to 2747 computations (21.4% saved)

regimes47.0ms (1%)

Compiler: Compiled 362 to 306 computations (15.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms (0%)

sample575.0ms (11.9%)

Algorithm

1×

intervals

Results

180.0ms	7424×	body	128	valid
16.0ms	196×	body	1024	valid
15.0ms	155×	body	2048	valid
9.0ms	156×	body	512	valid
3.0ms	69×	body	256	valid

Compiler

Compiled 192 to 164 computations (14.6% saved)

Details

analyze19.0ms (0.4%)

sample13.0ms (0.3%)

simplify171.0ms (3.5%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite4.0ms (0.1%)

series42.0ms (0.9%)

simplify106.0ms (2.2%)

prune15.0ms (0.3%)

localize11.0ms (0.2%)

rewrite29.0ms (0.6%)

series932.0ms (19.3%)

simplify98.0ms (2%)

prune146.0ms (3%)

localize15.0ms (0.3%)

rewrite22.0ms (0.5%)

series958.0ms (19.8%)

simplify112.0ms (2.3%)

prune143.0ms (2.9%)

localize17.0ms (0.4%)

rewrite31.0ms (0.6%)

series1.0s (20.9%)

simplify112.0ms (2.3%)

prune197.0ms (4.1%)

regimes47.0ms (1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample575.0ms (11.9%)

Profiling