Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	268×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify77.0ms

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

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 4.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ t y))
4.7b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms	(tanh (/ t y))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series286.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
114.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
27.0ms	(tanh (/ t y))
70.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify70.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	584	1136
1	2668	1079
2	5003	1079

prune151.0ms

Filtered

95 candidates to 73 candidates (23.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	7	96

Merged error: 0.8b

Counts

96 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b	(tanh (/ t y))
1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.8b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite33.0ms

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:

4.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
2.0ms	(tanh (/ t y))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
14.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
27.0ms	(tanh (/ t y))
90.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
69.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify67.0ms

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

113 candidates to 79 candidates (30.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	114	6	120

Merged error: 0.0b

Counts

120 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
2.1b	(* z (tanh (/ t y)))
2.3b	(* z (neg (tanh (/ x y))))
2.8b	(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

35×	`associate-*r/`
18×	`add-sqr-sqrt`
17×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity` `distribute-neg-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l` `frac-add` `tanh-def`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `flip3-+` `distribute-rgt-neg-out` `flip-+` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

2.0ms	(tanh (/ t y))
5.0ms	(* z (tanh (/ t y)))
6.0ms	(* z (neg (tanh (/ x y))))
10.0ms	(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(tanh (/ t y))
32.0ms	(* z (tanh (/ t y)))
35.0ms	(* z (neg (tanh (/ x y))))
75.0ms	(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

simplify82.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	610	834
1	3200	775
2	5001	774

prune135.0ms

Filtered

104 candidates to 83 candidates (20.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.8b	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.8b	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite42.0ms

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))))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
23.0ms	(cbrt z)
95.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
74.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify71.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (56.0ms)

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

prune125.0ms

Filtered

129 candidates to 72 candidates (44.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	129	6	135

Merged error: 0.0b

Counts

135 → 6

regimes267.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	25	10
2	26	10
3	26	10

end0.0ms

sample885.0ms

Algorithm

intervals

Results

428.0ms	8341×	body	80	valid
18.0ms	90×	body	640	valid
14.0ms	51×	body	1280	valid
12.0ms	69×	body	320	valid
4.0ms	42×	body	160	valid

Details

sample34.0ms

simplify77.0ms

prune5.0ms

localize11.0ms

rewrite25.0ms

series286.0ms

simplify70.0ms

prune151.0ms

localize11.0ms

rewrite33.0ms

series298.0ms

simplify67.0ms

prune152.0ms

localize13.0ms

rewrite26.0ms

series169.0ms

simplify82.0ms

prune135.0ms

localize15.0ms

rewrite42.0ms

series214.0ms

simplify71.0ms

prune125.0ms

regimes267.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample885.0ms

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