Details

analyze858.0ms

Algorithm

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

sample27.0ms

Algorithm

intervals

Results

13.0ms	256×	body	128	valid
3.0ms	91×	body	128	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 5.6b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
5.2b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
6×	`sub-neg_binary64` `add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
2×	`associate--r+_binary64` `diff-log_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

3 → 48

Calls

3 calls:

4.0ms	(-.f64 (*.f64 z z) t)
4.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

series265.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(-.f64 (*.f64 z z) t)
126.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
109.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify62.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5026	925

prune49.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Merged error: 3.0b

Counts

58 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))
5.2b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.2b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.2b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`sub-neg_binary64` `associate-*r/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 82

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

series576.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))
101.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
94.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
102.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify75.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4984	1600
1	4984	1600

prune118.0ms

Filtered

63 candidates to 94 candidates (-49.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	94	7	101

Merged error: 3.0b

Counts

101 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
0.2b	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
5.2b	(sqrt.f64 (-.f64 (*.f64 z z) t))
5.2b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
16×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`associate-r_binary64`
10×	`-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64`
9×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `difference-of-squares_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

11.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
18.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

series329.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
110.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
52.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
61.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

simplify69.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5108	1705

prune76.0ms

Filtered

71 candidates to 101 candidates (-42.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	101	7	108

Merged error: 3.0b

Counts

108 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (*.f64 z z) t)))
3.1b	(-.f64 (pow.f64 z 4) (*.f64 t t))
6.9b	(.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (*.f64 t t)))
23.7b	(/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (.f64 z z) t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64`
6×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`sub-neg_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `associate-/r*_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `diff-log_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `unpow-prod-down_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

9.0ms	(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (*.f64 z z) t)))
5.0ms	(-.f64 (pow.f64 z 4) (*.f64 t t))
9.0ms	(.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (*.f64 t t)))
14.0ms	(/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (.f64 z z) t))

series960.0ms

Counts

4 → 12

Calls

4 calls:

430.0ms	(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (*.f64 z z) t)))
53.0ms	(-.f64 (pow.f64 z 4) (*.f64 t t))
166.0ms	(.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (*.f64 t t)))
311.0ms	(/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (.f64 z z) t))

simplify84.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4953	1799
1	4953	1799

prune86.0ms

Filtered

63 candidates to 90 candidates (-42.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	1	3
Picked	1	0	1
Done	0	3	3
Total	91	6	97

Merged error: 3.0b

Counts

97 → 6

regimes208.0ms

Accuracy

83.7% (0.6b remaining)

Error of 3.1b against oracle of 2.5b and baseline of 6.1b

bsearch1.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	326	54
1	326	54

end0.0ms

sample685.0ms

Algorithm

intervals

Results

288.0ms	8000×	body	128	valid
106.0ms	2952×	body	128	invalid

Details

analyze858.0ms

sample27.0ms

simplify47.0ms

prune2.0ms

localize9.0ms

rewrite21.0ms

series265.0ms

simplify62.0ms

prune49.0ms

localize17.0ms

rewrite43.0ms

series576.0ms

simplify75.0ms

prune118.0ms

localize13.0ms

rewrite48.0ms

series329.0ms

simplify69.0ms

prune76.0ms

localize14.0ms

rewrite46.0ms

series960.0ms

simplify84.0ms

prune86.0ms

regimes208.0ms

bsearch1.0ms

simplify7.0ms

end0.0ms

sample685.0ms

Profiling