Details

sample28.0ms

Algorithm

intervals

Results

14.0ms	270×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	54	8
1	141	8
2	325	8
3	964	8
4	3472	8
5	5002	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 5.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.7b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite24.0ms

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 (/ x y))
2.0ms	(tanh (/ t y))
6.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
12.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series651.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(tanh (/ x y))
80.0ms	(tanh (/ t y))
333.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
157.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify68.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	509	771
1	2427	725
2	5001	725

prune231.0ms

Filtered

82 candidates to 63 candidates (76.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Merged error: 0.9b

Counts

83 → 6

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))))))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.9b	(* 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))
4.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
13.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series799.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(tanh (/ t y))
343.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
215.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
159.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	544	1169
1	2420	1098
2	5001	1098

prune278.0ms

Filtered

113 candidates to 79 candidates (69.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	110	9	119

Merged error: 0.7b

Counts

119 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))))
1.3b	(* z (tanh (/ t y)))
1.9b	(* z (- (tanh (/ x y))))
3.9b	(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

rewrite32.0ms

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`
8×	`tanh-def`
6×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `flip-+`
1×	`+-commutative` `neg-mul-1` `sum-log` `distribute-rgt-neg-out` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

3.0ms	(+ x (* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))))
8.0ms	(* z (tanh (/ t y)))
7.0ms	(* z (- (tanh (/ x y))))
11.0ms	(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

series702.0ms

Counts

4 → 12

Calls

4 calls:

350.0ms	(+ x (* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))))
89.0ms	(* z (tanh (/ t y)))
91.0ms	(* z (- (tanh (/ x y))))
171.0ms	(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

simplify101.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	678	962
1	3477	902
2	5001	900

prune307.0ms

Filtered

107 candidates to 84 candidates (78.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	107	9	116

Merged error: 0.7b

Counts

116 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

2.7b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.7b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.7b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.6b	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

297×	`cbrt-div`
243×	`frac-sub`
162×	`tanh-def`
154×	`associate-*r/`
121×	`frac-times`
27×	`flip3--` `flip--`
16×	`pow1` `add-exp-log`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
11×	`associate-*l/`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 237

Calls

4 calls:

10.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
33.0ms	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

385.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
379.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
374.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
396.0ms	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

simplify133.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	1481	8066
1	4029	7926
2	5003	7908

prune1.6s

Filtered

249 candidates to 220 candidates (88.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	249	9	258

Merged error: 0.7b

Counts

258 → 9

regimes173.0ms

Accuracy

47.7% (2.3b remaining)

Error of 2.7b against oracle of 0.4b and baseline of 4.9b

bsearch118.0ms

Steps

Iters	Range		Point
9	5.173074207666333e+71	4.7520690968174265e+78	6.070310397546529e+71
10	-2.397575556618908e+219	-1.7837840059965705e+206	-2.0912622621729367e+206

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	43
1	51	43
2	57	43
3	57	43

end0.0ms

sample753.0ms

Algorithm

intervals

Results

451.0ms	8308×	body	80	valid
25.0ms	123×	body	640	valid
12.0ms	62×	body	320	valid
9.0ms	33×	body	1280	valid
4.0ms	39×	body	160	valid