Details

sample26.0ms

Algorithm

intervals

Results

12.0ms	269×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid

simplify73.0ms

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: 4.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

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

series533.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(tanh (/ t y))
223.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
79.0ms	(tanh (/ x y))
155.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify65.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	512	1026
1	2370	971
2	5002	971

prune259.0ms

Filtered

90 candidates to 71 candidates (78.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	3	91

Merged error: 0.7b

Counts

91 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.5b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.3b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

2.0ms	(tanh (/ t y))
2.0ms	(tanh (/ x y))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
13.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series529.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(tanh (/ t y))
78.0ms	(tanh (/ x y))
209.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
162.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	470	1039
1	2128	970
2	5002	970

prune267.0ms

Filtered

104 candidates to 76 candidates (73.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	101	6	107

Merged error: 0.5b

Counts

107 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

2.3b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
6.9b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.9b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.9b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite54.0ms

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:

12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
11.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
16.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
11.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

158.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
375.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
372.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
375.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (43.0ms)

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

prune470.0ms

Filtered

109 candidates to 90 candidates (82.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	109	6	115

Merged error: 0.5b

Counts

115 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.9b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.9b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.9b	(cbrt (* (* (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))))

rewrite709.0ms

Algorithm

rewrite-expression-head

Rules

9713×	`associate-*r/`
6512×	`cbrt-div`
3915×	`frac-sub`
3025×	`frac-times`
2610×	`tanh-def`
435×	`flip3--` `flip--`
275×	`associate-*l/`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 1797

Calls

4 calls:

11.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
11.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
12.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
133.0ms	(cbrt (* (* (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))))

series1.7s

Counts

4 → 12

Calls

4 calls:

367.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
367.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
358.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
609.0ms	(cbrt (* (* (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))))

simplify1.4s

Algorithm

egg-herbie

Counts

1809 → 1809

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6690	175886

prune26.5s

Filtered

1809 candidates to 1809 candidates (100.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1809	0	1809
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	1809	6	1815

Merged error: 0.5b

Counts

1815 → 6

regimes122.0ms

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.9b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample659.0ms

Algorithm

intervals

Results

398.0ms	8293×	body	80	valid
16.0ms	89×	body	640	valid
15.0ms	54×	body	1280	valid
9.0ms	70×	body	320	valid
3.0ms	33×	body	160	valid

Details

sample26.0ms

simplify73.0ms

prune3.0ms

localize11.0ms

rewrite27.0ms

series533.0ms

simplify65.0ms

prune259.0ms

localize12.0ms

rewrite30.0ms

series529.0ms

simplify60.0ms

prune267.0ms

localize16.0ms

rewrite54.0ms

series1.3s

simplify61.0ms

prune470.0ms

localize23.0ms

rewrite709.0ms

series1.7s

simplify1.4s

prune26.5s

regimes122.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample659.0ms

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