Details

sample28.0ms

Algorithm

intervals

Results

13.0ms	268×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify77.0ms

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: 5.0b

Counts

2 → 1

localize16.0ms

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)))
5.1b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite27.0ms

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

series793.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(tanh (/ x y))
338.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
220.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
159.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify80.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (16.0ms)

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

prune270.0ms

Filtered

95 candidates to 73 candidates (76.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	91	4	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	5	96

Merged error: 1.4b

Counts

96 → 5

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)) (tanh (/ x y)))
0.9b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.4b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

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

series944.0ms

Counts

4 → 12

Calls

4 calls:

335.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
229.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
216.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
164.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify84.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	628	1534
1	2712	1452
2	5001	1452

prune319.0ms

Filtered

126 candidates to 88 candidates (69.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	125	6	131

Merged error: 0.7b

Counts

131 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (tanh (/ t y)) (tanh (/ t y)))
0.1b	(pow (tanh (/ x y)) 3)
5.1b	(* (* y z) (/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (+ (* (tanh (/ x y)) (+ (tanh (/ x y)) (tanh (/ t y)))) (* (tanh (/ t y)) (tanh (/ t y))))))
12.0b	(/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (+ (* (tanh (/ x y)) (+ (tanh (/ x y)) (tanh (/ t y)))) (* (tanh (/ t y)) (tanh (/ t y)))))

rewrite756.0ms

Algorithm

rewrite-expression-head

Rules

2490×	`frac-add`
1847×	`tanh-def`
1845×	`frac-times`
1414×	`associate-/r/`
789×	`associate-r`
616×	`associate-*r/`
375×	`associate-*l/`
240×	`add-sqr-sqrt`
150×	`times-frac`
140×	`*-un-lft-identity`
122×	`flip3-+` `flip-+`
112×	`difference-of-squares`
87×	`unpow-prod-down` `cube-prod`
70×	`add-cube-cbrt`
57×	`sqr-pow`
35×	`distribute-lft-out--`
25×	`associate-/l*`
21×	`add-exp-log` `cube-div` `add-cbrt-cube`
17×	`pow1`
11×	`associate-/l/`
9×	`frac-sub`
7×	`difference-cubes` `prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `swap-sqr` `div-exp` `associate-/r*`
2×	`*-commutative` `div-inv`
1×	`pow2` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow-plus` `unpow3` `div-sub` `pow-exp` `clear-num` `pow-sqr` `pow-prod-up` `flip--` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 1706

Calls

4 calls:

7.0ms	(* (tanh (/ t y)) (tanh (/ t y)))
4.0ms	(pow (tanh (/ x y)) 3)
190.0ms	(* (* y z) (/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (+ (* (tanh (/ x y)) (+ (tanh (/ x y)) (tanh (/ t y)))) (* (tanh (/ t y)) (tanh (/ t y))))))
95.0ms	(/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (+ (* (tanh (/ x y)) (+ (tanh (/ x y)) (tanh (/ t y)))) (* (tanh (/ t y)) (tanh (/ t y)))))

series11.3s

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (tanh (/ t y)) (tanh (/ t y)))
118.0ms	(pow (tanh (/ x y)) 3)
7.7s	(* (* y z) (/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (+ (* (tanh (/ x y)) (+ (tanh (/ x y)) (tanh (/ t y)))) (* (tanh (/ t y)) (tanh (/ t y))))))
3.4s	(/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (+ (* (tanh (/ x y)) (+ (tanh (/ x y)) (tanh (/ t y)))) (* (tanh (/ t y)) (tanh (/ t y)))))

simplify813.0ms

Algorithm

egg-herbie

Counts

1718 → 1718

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5001	102588

prune14.4s

Filtered

1718 candidates to 1600 candidates (93.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	1717	1	1718
Fresh	3	0	3
Picked	1	0	1
Done	1	1	2
Total	1722	2	1724

Merged error: 0b

Counts

1724 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (- (* t z) (* x z)))
1.4b	(- (* t z) (* x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `associate-+r+` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+ x (- (* t z) (* x z)))
3.0ms	(- (* t z) (* x z))

series62.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (- (* t z) (* x z)))
34.0ms	(- (* t z) (* x z))

simplify70.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	152	176
1	551	157
2	2614	155
3	5001	155

prune52.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	35	2	37

Merged error: 0b

Counts

37 → 2

regimes72.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample693.0ms

Algorithm

intervals

Results

411.0ms	8356×	body	80	valid
19.0ms	101×	body	640	valid
15.0ms	51×	body	1280	valid
9.0ms	66×	body	320	valid
2.0ms	27×	body	160	valid

Details

sample28.0ms

simplify77.0ms

prune3.0ms

localize16.0ms

rewrite27.0ms

series793.0ms

simplify80.0ms

prune270.0ms

localize11.0ms

rewrite38.0ms

series944.0ms

simplify84.0ms

prune319.0ms

localize24.0ms

rewrite756.0ms

series11.3s

simplify813.0ms

prune14.4s

localize10.0ms

rewrite8.0ms

series62.0ms

simplify70.0ms

prune52.0ms

regimes72.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample693.0ms

Profiling