Details

sample26.0ms

Algorithm

intervals

Results

13.0ms	261×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify74.0ms

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

prune6.0ms

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: 4.0b

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))
4.2b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite21.0ms

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))
3.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms	(tanh (/ t y))
12.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series638.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(tanh (/ x y))
327.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
74.0ms	(tanh (/ t y))
158.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify62.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (13.0ms)

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

prune234.0ms

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: 1.2b

Counts

83 → 6

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))
0.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.5b	(* 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:

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

series967.0ms

Counts

4 → 12

Calls

4 calls:

475.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
112.0ms	(tanh (/ t y))
221.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
159.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	544	1169
1	2398	1098
2	5002	1098

prune343.0ms

Filtered

113 candidates to 79 candidates (69.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	112	7	119

Merged error: 1.2b

Counts

119 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

3.5b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.6b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.6b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.6b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

88×	`associate-*r/`
36×	`frac-sub`
33×	`cbrt-div`
24×	`tanh-def`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-rgt-in` `distribute-lft-in`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 97

Calls

4 calls:

14.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
13.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
19.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
13.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.6s

Counts

4 → 12

Calls

4 calls:

162.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
435.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
489.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
492.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	565	1972
1	2015	1876
2	5003	1858

prune482.0ms

Filtered

109 candidates to 90 candidates (82.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	109	7	116

Merged error: 1.2b

Counts

116 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (* y z) (tanh (/ t y))) (* (* y z) (- (tanh (/ x y))))))
0.0b	(tanh (/ t y))
4.7b	(* (* y z) (tanh (/ t y)))
5.2b	(* (* y z) (- (tanh (/ x y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(+ x (+ (* (* y z) (tanh (/ t y))) (* (* y z) (- (tanh (/ x y))))))
2.0ms	(tanh (/ t y))
6.0ms	(* (* y z) (tanh (/ t y)))
7.0ms	(* (* y z) (- (tanh (/ x y))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(+ x (+ (* (* y z) (tanh (/ t y))) (* (* y z) (- (tanh (/ x y))))))
80.0ms	(tanh (/ t y))
85.0ms	(* (* y z) (tanh (/ t y)))
91.0ms	(* (* y z) (- (tanh (/ x y))))

simplify62.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	452	651
1	2202	566
2	5001	566

prune207.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	90	5	95

Merged error: 0.2b

Counts

95 → 5

regimes103.0ms

Accuracy

0% (1.5b remaining)

Error of 2.1b against oracle of 0.6b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample675.0ms

Algorithm

intervals

Results

406.0ms	8310×	body	80	valid
16.0ms	89×	body	640	valid
13.0ms	51×	body	1280	valid
7.0ms	52×	body	320	valid
4.0ms	43×	body	160	valid