Details

analyze1.1s (13.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	91
1	147	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	62×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite65.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_5232` `add-sqr-sqrt_binary64_5215`
5×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
3×	`flip3-+_binary64_5196` `flip-+_binary64_5167` `associate-l_binary64_5134` `associate-r_binary64_5133`
2×	`associate-*l/_binary64_5136` `sum-log_binary64_5284` `+-commutative_binary64_5123`
1×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `*-commutative_binary64_5124`

Counts

3 → 42

Calls

3 calls:

8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)
4.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 740 to 171 computations (76.9% saved)

series511.0ms (6.6%)

Error

0.0b

Counts

3 → 63

Calls

3 calls:

229.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
144.0ms	(.f64 (+.f64 (.f64 x y) z) y)
94.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 1302 to 938 computations (28% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5443	1112

prune73.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Error

Counts

106 → 7

Compiler

Compiled 1215 to 242 computations (80.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) (cbrt.f64 (.f64 y (+.f64 z (*.f64 y x)))))
6.6b	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
6.6b	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
6.6b	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))

rewrite107.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) (cbrt.f64 (.f64 y (+.f64 z (*.f64 y x)))))
4.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
4.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
4.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))

Compiler

Compiled 2759 to 375 computations (86.4% saved)

series1.2s (16%)

Error

Counts

4 → 69

Calls

4 calls:

333.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) (cbrt.f64 (.f64 y (+.f64 z (*.f64 y x)))))
274.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
265.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
248.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))

Compiler

Compiled 7870 to 5030 computations (36.1% saved)

simplify114.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4972	3141
1	4972	3141

prune154.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	141	7	148

Error

Counts

148 → 7

Compiler

Compiled 4790 to 1190 computations (75.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.6b	(cbrt.f64 (+.f64 z (*.f64 y x)))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite154.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

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 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
5.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))

Compiler

Compiled 3008 to 470 computations (84.4% saved)

series1.1s (14%)

Error

Counts

4 → 71

Calls

4 calls:

313.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
218.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
216.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
208.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))

Compiler

Compiled 7003 to 4590 computations (34.5% saved)

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4984	3285
1	4984	3285

prune172.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	159	6	165

Error

Counts

165 → 6

Compiler

Compiled 4898 to 1163 computations (76.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 z (.f64 y x))) 3)) t)
0.1b	(.f64 y (+.f64 z (.f64 y x)))
0.2b	(pow.f64 (.f64 y (+.f64 z (.f64 y x))) 3)
29.9b	(cbrt.f64 (pow.f64 (.f64 y (+.f64 z (.f64 y x))) 3))

rewrite128.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
9×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
8×	`add-cube-cbrt_binary64_5228` `cbrt-prod_binary64_5224`
6×	`add-log-exp_binary64_5232` `associate-*r/_binary64_5135`
4×	`flip3-+_binary64_5196` `cube-div_binary64_5222` `flip-+_binary64_5167`
3×	`pow-unpow_binary64_5270` `associate-l_binary64_5134` `associate-r_binary64_5133`
2×	`cbrt-div_binary64_5225` `unpow-prod-down_binary64_5272` `unpow3_binary64_5259` `cube-mult_binary64_5223` `cube-prod_binary64_5221` `sqr-pow_binary64_5165` `pow-prod-down_binary64_5264` `pow-pow_binary64_5265` `prod-exp_binary64_5242` `pow-exp_binary64_5261` `rem-cube-cbrt_binary64_5216` `cbrt-unprod_binary64_5226`
1×	`pow1/3_binary64_5275` `rem-cbrt-cube_binary64_5217` `pow-to-exp_binary64_5262` `unswap-sqr_binary64_5161` `distribute-rgt-in_binary64_5143` `distribute-lft-in_binary64_5142` `*-commutative_binary64_5124` `sum-log_binary64_5284` `distribute-lft-out_binary64_5144` `+-commutative_binary64_5123`

Counts

4 → 77

Calls

4 calls:

7.0ms	(+.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 z (.f64 y x))) 3)) t)
7.0ms	(pow.f64 (.f64 y (+.f64 z (.f64 y x))) 3)
6.0ms	(.f64 y (+.f64 z (.f64 y x)))
3.0ms	(cbrt.f64 (pow.f64 (.f64 y (+.f64 z (.f64 y x))) 3))

Compiler

Compiled 1639 to 600 computations (63.4% saved)

series807.0ms (10.4%)

Error

Counts

4 → 87

Calls

4 calls:

270.0ms	(+.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 z (.f64 y x))) 3)) t)
181.0ms	(cbrt.f64 (pow.f64 (.f64 y (+.f64 z (.f64 y x))) 3))
149.0ms	(pow.f64 (.f64 y (+.f64 z (.f64 y x))) 3)
132.0ms	(.f64 y (+.f64 z (.f64 y x)))

Compiler

Compiled 2812 to 2275 computations (19.1% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5042	2424

prune122.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	164	6	170

Error

Counts

170 → 6

Compiler

Compiled 2392 to 858 computations (64.1% saved)

regimes341.0ms (4.4%)

Accuracy

Total 0.0b remaining (85.9%)

Threshold costs 0.0b (85.9%)

Compiler

Compiled 2782 to 2006 computations (27.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample1.3s (16.5%)

Algorithm

1×

intervals

Results

293.0ms	8000×	body	128	valid
68.0ms	1780×	body	128	invalid

Compiler

Compiled 476 to 345 computations (27.5% saved)

Details

analyze1.1s (13.6%)

sample27.0ms (0.4%)

simplify14.0ms (0.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite65.0ms (0.8%)

series511.0ms (6.6%)

simplify80.0ms (1%)

prune73.0ms (0.9%)

localize15.0ms (0.2%)

rewrite107.0ms (1.4%)

series1.2s (16%)

simplify114.0ms (1.5%)

prune154.0ms (2%)

localize17.0ms (0.2%)

rewrite154.0ms (2%)

series1.1s (14%)

simplify104.0ms (1.3%)

prune172.0ms (2.2%)

localize10.0ms (0.1%)

rewrite128.0ms (1.7%)

series807.0ms (10.4%)

simplify69.0ms (0.9%)

prune122.0ms (1.6%)

regimes341.0ms (4.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (16.5%)

Profiling