Details

analyze118.0ms (2.7%)

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)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	234×	body	128	valid
1.0ms	10×	body	2048	valid
0.0ms	4×	body	1024	valid
0.0ms	5×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify13.0ms (0.3%)

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))

rewrite14.0ms (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:

3.0ms

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

Compiler

Compiled 143 to 100 computations (30.1% saved)

series73.0ms (1.7%)

Error

0.1b

Counts

1 → 12

Calls

1 calls:

67.0ms

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

Compiler

Compiled 114 to 104 computations (8.8% saved)

simplify90.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5770	201

prune18.0ms (0.4%)

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 (0.2%)

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

rewrite173.0ms (4%)

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:

16.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -3/8 y) x)) (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))
4.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))

Compiler

Compiled 2660 to 1913 computations (28.1% saved)

series451.0ms (10.4%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

144.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
94.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
84.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
83.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))

Compiler

Compiled 2924 to 2441 computations (16.5% saved)

simplify105.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4910	2154
1	4910	2154

prune174.0ms (4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Error

0.0b

Counts

130 → 7

Compiler

Compiled 3235 to 2308 computations (28.7% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite116.0ms (2.7%)

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))
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)))

Compiler

Compiled 2068 to 1543 computations (25.4% saved)

series465.0ms (10.7%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

109.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
98.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
96.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
96.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))

Compiler

Compiled 3860 to 3170 computations (17.9% saved)

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4864	1220
1	4864	1220

prune167.0ms (3.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	88	7	95

Error

0.0b

Counts

95 → 7

Compiler

Compiled 3226 to 2385 computations (26.1% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite141.0ms (3.3%)

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 2328 to 1803 computations (22.6% saved)

series494.0ms (11.4%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

108.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
108.0ms	(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
104.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
97.0ms	(cbrt.f64 (+.f64 x (*.f64 y -3/8)))

Compiler

Compiled 4340 to 3650 computations (15.9% saved)

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4864	1220
1	4864	1220

prune189.0ms (4.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	88	7	95

Error

0.0b

Counts

95 → 7

Compiler

Compiled 3564 to 2742 computations (23.1% saved)

regimes241.0ms (5.5%)

Accuracy

Total 0.1b remaining (70.9%)

Threshold costs 0.1b (70.9%)

Compiler

Compiled 2580 to 2122 computations (17.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample1.1s (24.7%)

Algorithm

1×

intervals

Results

179.0ms	7426×	body	128	valid
20.0ms	205×	body	1024	valid
17.0ms	173×	body	2048	valid
7.0ms	126×	body	512	valid
3.0ms	70×	body	256	valid

Compiler

Compiled 651 to 537 computations (17.5% saved)

Details

analyze118.0ms (2.7%)

sample21.0ms (0.5%)

simplify13.0ms (0.3%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite14.0ms (0.3%)

series73.0ms (1.7%)

simplify90.0ms (2.1%)

prune18.0ms (0.4%)

localize8.0ms (0.2%)

rewrite173.0ms (4%)

series451.0ms (10.4%)

simplify105.0ms (2.4%)

prune174.0ms (4%)

localize16.0ms (0.4%)

rewrite116.0ms (2.7%)

series465.0ms (10.7%)

simplify78.0ms (1.8%)

prune167.0ms (3.8%)

localize19.0ms (0.4%)

rewrite141.0ms (3.3%)

series494.0ms (11.4%)

simplify78.0ms (1.8%)

prune189.0ms (4.3%)

regimes241.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (24.7%)

Profiling