Details

analyze162.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	14
1	150	14
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
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)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	243×	body	128	valid
1.0ms	6×	body	1024	valid
0.0ms	3×	body	2048	valid
0.0ms	3×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	98	7
1	98	7

prune4.0ms (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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

3×	`add-log-exp_binary64_5232`
1×	`diff-log_binary64_5285` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `flip3--_binary64_5197` `*-un-lft-identity_binary64_5193` `sub-neg_binary64_5186` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

Compiler

Compiled 143 to 100 computations (30.1% saved)

series81.0ms (1.2%)

Error

0.1b

Counts

1 → 12

Calls

1 calls:

74.0ms

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

Compiler

Compiled 114 to 104 computations (8.8% saved)

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5770	201

prune17.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Error

0.0b

Counts

25 → 4

Compiler

Compiled 214 to 148 computations (30.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite197.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
18×	`cbrt-div_binary64_5225`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275` `flip3-+_binary64_5196` `flip-+_binary64_5167`
6×	`add-exp-log_binary64_5231` `swap-sqr_binary64_5160` `associate-l_binary64_5134` `associate-r_binary64_5133`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `frac-times_binary64_5203` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166` `associate-l/_binary64_5136` `associate-r/_binary64_5135`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
4.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
4.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))

Compiler

Compiled 2660 to 1913 computations (28.1% saved)

series896.0ms (13.8%)

Error

0.0b

Counts

4 → 65

Calls

4 calls:

252.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
171.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
167.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
155.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))

Compiler

Compiled 5242 to 4374 computations (16.6% saved)

simplify108.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4972	3665
1	4972	3665

prune306.0ms (4.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	151	5	156

Error

0.0b

Counts

156 → 5

Compiler

Compiled 4505 to 3193 computations (29.1% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite156.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_5224`
8×	`add-cube-cbrt_binary64_5228` `cbrt-div_binary64_5225` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
4×	`pow1/3_binary64_5275` `pow1_binary64_5254` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `flip3-+_binary64_5196` `flip-+_binary64_5167`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))

Compiler

Compiled 2380 to 1751 computations (26.4% saved)

series902.0ms (13.9%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

186.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
185.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
166.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
152.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))

Compiler

Compiled 7216 to 5810 computations (19.5% saved)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5102	2560

prune353.0ms (5.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	111	6	117

Error

0.0b

Counts

117 → 6

Compiler

Compiled 5396 to 3907 computations (27.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (sqrt.f64 (+.f64 (*.f64 -3/8 y) x)))
0.3b	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -3/8))))
0.6b	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
0.6b	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))

rewrite144.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_5224`
10×	`add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
8×	`cbrt-div_binary64_5225`
6×	`sqrt-prod_binary64_5209`
4×	`pow1/3_binary64_5275` `pow1_binary64_5254` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `flip3-+_binary64_5196` `flip-+_binary64_5167` `sqrt-div_binary64_5210`

Counts

4 → 58

Calls

4 calls:

5.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (*.f64 -3/8 y) x)))
5.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -3/8))))
4.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))

Compiler

Compiled 2220 to 1635 computations (26.4% saved)

series802.0ms (12.4%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

172.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
165.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (*.f64 -3/8 y) x)))
157.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -3/8))))
153.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))

Compiler

Compiled 6078 to 4935 computations (18.8% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4927	3080
1	4927	3080

prune322.0ms (5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	117	7	124

Error

0.0b

Counts

124 → 7

Compiler

Compiled 4766 to 3538 computations (25.8% saved)

regimes284.0ms (4.4%)

Accuracy

Total 0.1b remaining (67.3%)

Threshold costs 0.1b (67.3%)

Compiler

Compiled 2992 to 2402 computations (19.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample1.4s (21.7%)

Algorithm

1×

intervals

Results

215.0ms	7455×	body	128	valid
18.0ms	192×	body	1024	valid
17.0ms	144×	body	2048	valid
10.0ms	131×	body	512	valid
4.0ms	78×	body	256	valid

Compiler

Compiled 754 to 607 computations (19.5% saved)

Details

analyze162.0ms (2.5%)

sample17.0ms (0.3%)

simplify11.0ms (0.2%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite21.0ms (0.3%)

series81.0ms (1.2%)

simplify97.0ms (1.5%)

prune17.0ms (0.3%)

localize8.0ms (0.1%)

rewrite197.0ms (3%)

series896.0ms (13.8%)

simplify108.0ms (1.7%)

prune306.0ms (4.7%)

localize20.0ms (0.3%)

rewrite156.0ms (2.4%)

series902.0ms (13.9%)

simplify71.0ms (1.1%)

prune353.0ms (5.4%)

localize16.0ms (0.2%)

rewrite144.0ms (2.2%)

series802.0ms (12.4%)

simplify79.0ms (1.2%)

prune322.0ms (5%)

regimes284.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (21.7%)

Profiling