Details

analyze18.0ms (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
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 (0.4%)

Algorithm

1×

intervals

Results

5.0ms	228×	body	128	valid
1.0ms	9×	body	1024	valid
1.0ms	7×	body	2048	valid
1.0ms	10×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify105.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	98	7
1	98	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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (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_5914`
1×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `diff-log_binary64_5967` `sub-neg_binary64_5868` `add-sqr-sqrt_binary64_5897` `cancel-sign-sub-inv_binary64_5841` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936` `flip3--_binary64_5879` `flip--_binary64_5850`

Counts

1 → 12

Calls

1 calls:

3.0ms

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

series19.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify86.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5770	165

prune15.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Error

0.1b

Counts

16 → 4

Compiler

Compiled 187 to 133 computations (28.9% saved)

localize10.0ms (0.3%)

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

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5906`
23×	`add-sqr-sqrt_binary64_5897`
18×	`cbrt-div_binary64_5907`
15×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
11×	`pow1_binary64_5936`
9×	`flip3--_binary64_5879` `pow1/3_binary64_5957` `flip--_binary64_5850`
6×	`add-exp-log_binary64_5913` `associate-r_binary64_5815` `associate-l_binary64_5816` `swap-sqr_binary64_5842`
4×	`frac-times_binary64_5885` `unswap-sqr_binary64_5843` `add-cbrt-cube_binary64_5911` `add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `pow-sqr_binary64_5848` `associate-l/_binary64_5818` `pow-prod-up_binary64_5945` `associate-r/_binary64_5817`
1×	`pow-plus_binary64_5938` `cbrt-unprod_binary64_5908` `pow2_binary64_5956` `prod-exp_binary64_5924` `*-commutative_binary64_5806`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.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)))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series494.0ms (14.8%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
120.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
118.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
111.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify127.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4872	1786
1	4872	1786

prune160.0ms (4.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	11	103

Error

0.0b

Counts

103 → 11

Compiler

Compiled 2803 to 2046 computations (27% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_5906`
12×	`cbrt-div_binary64_5907`
10×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
4×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936` `flip3--_binary64_5879` `pow1/3_binary64_5957` `add-log-exp_binary64_5914` `flip--_binary64_5850`

Counts

4 → 58

Calls

4 calls:

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

series464.0ms (13.9%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
115.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
112.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
111.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4937	1218
1	4937	1218

prune145.0ms (4.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	69	12	81

Error

0.0b

Counts

81 → 12

Compiler

Compiled 2910 to 2201 computations (24.4% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_5906`
12×	`cbrt-div_binary64_5907`
10×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
4×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936` `flip3--_binary64_5879` `pow1/3_binary64_5957` `add-log-exp_binary64_5914` `flip--_binary64_5850`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series466.0ms (13.9%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
113.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
112.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
112.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4937	1218
1	4937	1218

prune130.0ms (3.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	70	12	82

Error

0.0b

Counts

82 → 12

Compiler

Compiled 2638 to 1985 computations (24.8% saved)

regimes142.0ms (4.3%)

Accuracy

Total 0.1b remaining (67.5%)

Threshold costs 0.1b (67.5%)

Compiler

Compiled 1556 to 1278 computations (17.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms (0%)

sample736.0ms (22%)

Algorithm

1×

intervals

Results

170.0ms	7371×	body	128	valid
18.0ms	160×	body	2048	valid
18.0ms	236×	body	1024	valid
9.0ms	151×	body	512	valid
3.0ms	82×	body	256	valid

Compiler

Compiled 395 to 326 computations (17.5% saved)

Details

analyze18.0ms (0.5%)

sample13.0ms (0.4%)

simplify105.0ms (3.1%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite4.0ms (0.1%)

series19.0ms (0.6%)

simplify86.0ms (2.6%)

prune15.0ms (0.4%)

localize10.0ms (0.3%)

rewrite27.0ms (0.8%)

series494.0ms (14.8%)

simplify127.0ms (3.8%)

prune160.0ms (4.8%)

localize12.0ms (0.4%)

rewrite20.0ms (0.6%)

series464.0ms (13.9%)

simplify58.0ms (1.7%)

prune145.0ms (4.3%)

localize12.0ms (0.4%)

rewrite18.0ms (0.5%)

series466.0ms (13.9%)

simplify58.0ms (1.7%)

prune130.0ms (3.9%)

regimes142.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample736.0ms (22%)

Profiling