Details

sample408.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 93.75%

Results

13.0ms	261×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	8
1	141	8
2	325	8
3	979	8
4	3700	8
5	5001	8

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: 5.9b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.4b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-*r/`
9×	`pow1` `add-exp-log` `frac-sub` `add-cbrt-cube`
8×	`tanh-def`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`add-cube-cbrt` `associate-r`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3--` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

2.0ms	(tanh (/ t y))
2.0ms	(tanh (/ x y))
3.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series232.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(tanh (/ t y))
27.0ms	(tanh (/ x y))
111.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
68.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	509	771
1	2427	725
2	5003	725

prune138.0ms

Filtered

63 candidates to 82 candidates (-30.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	72	10	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	11	83

Merged error: 1.3b

Counts

83 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.8b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.0b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
18×	`distribute-rgt-in` `distribute-lft-in` `frac-sub`
13×	`tanh-def`
11×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
10×	`sub-neg`
9×	`*-un-lft-identity`
8×	`associate-+r+`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

2.0ms	(tanh (/ t y))
5.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
9.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series427.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(tanh (/ t y))
247.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
89.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
64.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	544	1169
1	2420	1098
2	5002	1098

prune152.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	115	9	124

Merged error: 1.1b

Counts

124 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.7b	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.0b	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

55×	`associate-*r/`
34×	`pow1` `add-exp-log`
32×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`frac-sub`
12×	`sub-neg` `tanh-def`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`associate-l` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 117

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
15.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
19.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
23.0ms	(cbrt z)
95.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
71.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify70.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	656	1908
1	2556	1424
2	5003	1339

prune144.0ms

Filtered

72 candidates to 129 candidates (-79.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	129	9	138

Merged error: 1.1b

Counts

138 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
6.4b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
6.4b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
6.4b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
27×	`frac-sub`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`tanh-def`
15×	`associate-r`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`add-log-exp`
3×	`cbrt-prod` `flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 118

Calls

4 calls:

2.0ms	(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series590.0ms

Counts

4 → 12

Calls

4 calls:

391.0ms	(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
66.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
66.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
67.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify65.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	492	1603
1	2184	1494
2	5001	1484

prune151.0ms

Filtered

88 candidates to 130 candidates (-47.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	129	10	139

Merged error: 1.1b

Counts

139 → 10

regimes512.0ms

Accuracy

0% (1.9b remaining)

Error of 2.3b against oracle of 0.4b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 93.75%

Results

423.0ms	8300×	body	80	valid
19.0ms	97×	body	640	valid
15.0ms	57×	body	1280	valid
13.0ms	89×	body	320	valid
6.0ms	36×	body	160	valid

Details

sample408.0ms

simplify76.0ms

prune4.0ms

localize15.0ms

rewrite20.0ms

series232.0ms

simplify63.0ms

prune138.0ms

localize11.0ms

rewrite32.0ms

series427.0ms

simplify65.0ms

prune152.0ms

localize15.0ms

rewrite43.0ms

series212.0ms

simplify70.0ms

prune144.0ms

localize16.0ms

rewrite39.0ms

series590.0ms

simplify65.0ms

prune151.0ms

regimes512.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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