Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	266×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify75.0ms

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	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: 6.9b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
7.0b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite26.0ms

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:

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

series779.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(tanh (/ x y))
328.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
214.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
157.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify75.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	592	1136
1	2718	1079
2	5001	1079

prune308.0ms

Filtered

95 candidates to 73 candidates (76.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	89	6	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	6	96

Merged error: 1.5b

Counts

96 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
5.0b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

2.0ms	(tanh (/ t y))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series658.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(tanh (/ t y))
220.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
208.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
154.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	539	1404
1	2334	1324
2	5003	1324

prune357.0ms

Filtered

117 candidates to 86 candidates (73.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0.9b

Counts

123 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
1.7b	(* z (- (tanh (/ x y))))
3.0b	(* z (tanh (/ t y)))
5.0b	(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

11.0ms	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
6.0ms	(* z (- (tanh (/ x y))))
5.0ms	(* z (tanh (/ t y)))
11.0ms	(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
84.0ms	(* z (- (tanh (/ x y))))
83.0ms	(* z (tanh (/ t y)))
162.0ms	(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

simplify94.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	680	1241
1	3470	1157
2	5002	1151

prune377.0ms

Filtered

117 candidates to 92 candidates (78.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	118	6	124

Merged error: 0.9b

Counts

124 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(+ x (* (* y z) (+ (tanh (/ t y)) (- (tanh (/ x y))))))
0.0b	(+ (tanh (/ t y)) (- (tanh (/ x y))))
7.0b	(* (* y z) (+ (tanh (/ t y)) (- (tanh (/ x y)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-add` `distribute-neg-frac`
13×	`*-un-lft-identity` `tanh-def`
11×	`associate-*r/`
10×	`add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r`
4×	`distribute-lft-out`
3×	`flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-rgt-neg-in` `distribute-lft-in`
1×	`neg-sub0` `associate-+r-` `associate-l` `unsub-neg` `neg-log` `*-commutative`

Counts

4 → 82

Calls

4 calls:

2.0ms	(tanh (/ t y))
3.0ms	(+ x (* (* y z) (+ (tanh (/ t y)) (- (tanh (/ x y))))))
7.0ms	(+ (tanh (/ t y)) (- (tanh (/ x y))))
13.0ms	(* (* y z) (+ (tanh (/ t y)) (- (tanh (/ x y)))))

series758.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(tanh (/ t y))
320.0ms	(+ x (* (* y z) (+ (tanh (/ t y)) (- (tanh (/ x y))))))
209.0ms	(+ (tanh (/ t y)) (- (tanh (/ x y))))
152.0ms	(* (* y z) (+ (tanh (/ t y)) (- (tanh (/ x y)))))

simplify92.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	679	1166
1	3592	1083
2	5001	1082

prune291.0ms

Filtered

94 candidates to 72 candidates (76.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0.9b

Counts

100 → 6

regimes116.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample614.0ms

Algorithm

intervals

Results

345.0ms	8314×	body	80	valid
16.0ms	95×	body	640	valid
12.0ms	53×	body	1280	valid
8.0ms	66×	body	320	valid
3.0ms	36×	body	160	valid