Details

analyze280.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	53	10
1	53	10

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

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

series53.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
27.0ms	(*.f64 y (+.f64 z x))

simplify79.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4973	467
1	4973	467

prune22.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0.0b

Counts

43 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
0.0b	(+.f64 (.f64 y z) (.f64 y x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+r+_binary64`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
4.0ms	(+.f64 (.f64 y z) (.f64 y x))

series51.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
27.0ms	(+.f64 (.f64 y z) (.f64 y x))

simplify84.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4995	410
1	4995	410

prune16.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (.f64 z z) (.f64 x x))
4.2b	(.f64 y (.f64 (-.f64 (.f64 z z) (.f64 x x)) y))
10.7b	(.f64 (-.f64 (.f64 z z) (*.f64 x x)) y)
22.9b	(/.f64 (.f64 y (.f64 (-.f64 (.f64 z z) (.f64 x x)) y)) (*.f64 y (-.f64 z x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
11×	`pow1_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-exp_binary64` `associate-l/_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `associate-r_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 82

Calls

4 calls:

4.0ms	(-.f64 (.f64 z z) (.f64 x x))
8.0ms	(.f64 y (.f64 (-.f64 (.f64 z z) (.f64 x x)) y))
7.0ms	(.f64 (-.f64 (.f64 z z) (*.f64 x x)) y)
14.0ms	(/.f64 (.f64 y (.f64 (-.f64 (.f64 z z) (.f64 x x)) y)) (*.f64 y (-.f64 z x)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (.f64 z z) (.f64 x x))
62.0ms	(.f64 y (.f64 (-.f64 (.f64 z z) (.f64 x x)) y))
48.0ms	(.f64 (-.f64 (.f64 z z) (*.f64 x x)) y)
94.0ms	(/.f64 (.f64 y (.f64 (-.f64 (.f64 z z) (.f64 x x)) y)) (*.f64 y (-.f64 z x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4959	1516
1	4959	1516

prune48.0ms

Filtered

61 candidates to 94 candidates (-54.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	94	3	97

Merged error: 0b

Counts

97 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 z x))
0.0b	(+.f64 x (.f64 1 (.f64 (/.f64 y (*.f64 (/.f64 y (+.f64 z x)) 1)) y)))
0.0b	(.f64 (/.f64 y (.f64 (/.f64 y (+.f64 z x)) 1)) y)
17.8b	(/.f64 y (*.f64 (/.f64 y (+.f64 z x)) 1))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log_binary64`
29×	`add-cbrt-cube_binary64`
27×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64` `times-frac_binary64`
15×	`div-exp_binary64`
14×	`prod-exp_binary64`
9×	`cbrt-undiv_binary64`
8×	`cbrt-unprod_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
5×	`associate-/r*_binary64` `distribute-lft-out_binary64`
4×	`1-exp_binary64` `associate-/r/_binary64`
3×	`associate-r_binary64` `div-inv_binary64` `associate-*l/_binary64`
2×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

6.0ms	(/.f64 y (+.f64 z x))
5.0ms	(+.f64 x (.f64 1 (.f64 (/.f64 y (*.f64 (/.f64 y (+.f64 z x)) 1)) y)))
12.0ms	(.f64 (/.f64 y (.f64 (/.f64 y (+.f64 z x)) 1)) y)
11.0ms	(/.f64 y (*.f64 (/.f64 y (+.f64 z x)) 1))

series156.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/.f64 y (+.f64 z x))
40.0ms	(+.f64 x (.f64 1 (.f64 (/.f64 y (*.f64 (/.f64 y (+.f64 z x)) 1)) y)))
39.0ms	(.f64 (/.f64 y (.f64 (/.f64 y (+.f64 z x)) 1)) y)
34.0ms	(/.f64 y (*.f64 (/.f64 y (+.f64 z x)) 1))

simplify93.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	6530	1176

prune58.0ms

Filtered

76 candidates to 115 candidates (-51.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Merged error: 0b

Counts

118 → 3

regimes25.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms

sample453.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
18.0ms	589×	body	80	invalid

Details

analyze280.0ms

sample13.0ms

simplify16.0ms

prune2.0ms

localize5.0ms

rewrite11.0ms

series53.0ms

simplify79.0ms

prune22.0ms

localize6.0ms

rewrite11.0ms

series51.0ms

simplify84.0ms

prune16.0ms

localize13.0ms

rewrite36.0ms

series225.0ms

simplify53.0ms

prune48.0ms

localize9.0ms

rewrite37.0ms

series156.0ms

simplify93.0ms

prune58.0ms

regimes25.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample453.0ms

Profiling