Details

analyze658.0ms

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	72×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune4.0ms

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: 1.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.7b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series25.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
13.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify51.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5329	557

prune78.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0b

Counts

56 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

1.7b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
10.7b	(cbrt.f64 (/.f64 z t))
10.7b	(cbrt.f64 (/.f64 z t))
10.7b	(cbrt.f64 (/.f64 z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
29×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
15×	`cbrt-div_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `frac-times_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-*r/_binary64`
5×	`associate-l_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

14.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
2.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))
3.0ms	(cbrt.f64 (/.f64 z t))

series86.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
12.0ms	(cbrt.f64 (/.f64 z t))
12.0ms	(cbrt.f64 (/.f64 z t))
12.0ms	(cbrt.f64 (/.f64 z t))

simplify68.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5117	1008

prune112.0ms

Filtered

84 candidates to 110 candidates (-31.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	110	8	118

Merged error: 0b

Counts

118 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 (/.f64 z t)) (-.f64 y x)) (cbrt.f64 (/.f64 z t)))
10.7b	(cbrt.f64 (/.f64 z t))
10.7b	(cbrt.f64 (/.f64 z t))
10.7b	(cbrt.f64 (/.f64 z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod_binary64`
36×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
15×	`cbrt-div_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `frac-times_binary64`
7×	`associate-*l/_binary64`
6×	`add-cbrt-cube_binary64`
5×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 108

Calls

4 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 z t)) (-.f64 y x)) (cbrt.f64 (/.f64 z t)))
3.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))
3.0ms	(cbrt.f64 (/.f64 z t))

series91.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 z t)) (-.f64 y x)) (cbrt.f64 (/.f64 z t)))
12.0ms	(cbrt.f64 (/.f64 z t))
15.0ms	(cbrt.f64 (/.f64 z t))
12.0ms	(cbrt.f64 (/.f64 z t))

simplify68.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4944	1171
1	4944	1171

prune113.0ms

Filtered

93 candidates to 120 candidates (-29.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	120	8	128

Merged error: 0b

Counts

128 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))
6.7b	(*.f64 (-.f64 y x) (/.f64 z t))
6.7b	(*.f64 (-.f64 y x) (/.f64 z t))
6.7b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64`
39×	`associate-r_binary64`
35×	`*-un-lft-identity_binary64`
30×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`associate-l_binary64`
10×	`pow1_binary64`
6×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `cbrt-prod_binary64` `-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`

Counts

4 → 127

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))
11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series109.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))
13.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
13.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
14.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify62.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4985	1373
1	4985	1373

prune101.0ms

Filtered

102 candidates to 139 candidates (-36.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	139	8	147

Merged error: 0b

Counts

147 → 8

regimes441.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	20	9

end0.0ms

sample582.0ms

Algorithm

intervals

Results

253.0ms	8000×	body	80	valid
67.0ms	2044×	body	80	invalid

Details

analyze658.0ms

sample23.0ms

simplify49.0ms

prune4.0ms

localize7.0ms

rewrite16.0ms

series25.0ms

simplify51.0ms

prune78.0ms

localize11.0ms

rewrite25.0ms

series86.0ms

simplify68.0ms

prune112.0ms

localize11.0ms

rewrite26.0ms

series91.0ms

simplify68.0ms

prune113.0ms

localize14.0ms

rewrite38.0ms

series109.0ms

simplify62.0ms

prune101.0ms

regimes441.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample582.0ms

Profiling