Details

sample27.0ms

Algorithm

intervals

Results

15.0ms	267×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid

simplify79.0ms

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	979	8
4	3700	8
5	5001	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: 4.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.9b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite24.0ms

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

series545.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(tanh (/ t y))
83.0ms	(tanh (/ x y))
220.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
158.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify65.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	512	1026
1	2380	971
2	5001	971

prune255.0ms

Filtered

90 candidates to 71 candidates (78.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	5	91

Merged error: 1.2b

Counts

91 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.8b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite40.0ms

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 (/ x y))
10.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series682.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(tanh (/ x y))
223.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
222.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
157.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	553	1404
1	2417	1324
2	5003	1324

prune296.0ms

Filtered

117 candidates to 85 candidates (72.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	117	5	122

Merged error: 0.6b

Counts

122 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

2.5b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.5b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.5b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.8b	(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite672.0ms

Algorithm

rewrite-expression-head

Rules

4785×	`cbrt-div`
3915×	`frac-sub`
3586×	`associate-*r/`
3025×	`frac-times`
2610×	`tanh-def`
435×	`flip3--` `flip--`
275×	`associate-*l/`
18×	`pow1` `add-exp-log`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `*-commutative`

Counts

4 → 1823

Calls

4 calls:

7.0ms	(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))))
202.0ms	(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

389.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
394.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
387.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
165.0ms	(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

simplify1.1s

Algorithm

egg-herbie

Counts

1835 → 1835

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5001	108638

prune19.6s

Filtered

1835 candidates to 1821 candidates (99.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1835	0	1835
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	1835	5	1840

Merged error: 0.6b

Counts

1840 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.9b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.2b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

1.0ms	(cbrt y)
12.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
19.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series897.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
305.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
212.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
200.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify88.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	678	2084
1	3158	1715
2	5002	1651

prune345.0ms

Filtered

153 candidates to 90 candidates (58.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	152	6	158

Merged error: 0.6b

Counts

158 → 6

regimes151.0ms

Accuracy

0% (1.0b remaining)

Error of 2.1b against oracle of 1.1b 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

sample667.0ms

Algorithm

intervals

Results

395.0ms	8328×	body	80	valid
21.0ms	116×	body	640	valid
20.0ms	55×	body	1280	valid
7.0ms	56×	body	320	valid
3.0ms	35×	body	160	valid

Details

sample27.0ms

simplify79.0ms

prune3.0ms

localize11.0ms

rewrite24.0ms

series545.0ms

simplify65.0ms

prune255.0ms

localize11.0ms

rewrite40.0ms

series682.0ms

simplify67.0ms

prune296.0ms

localize16.0ms

rewrite672.0ms

series1.3s

simplify1.1s

prune19.6s

localize15.0ms

rewrite48.0ms

series897.0ms

simplify88.0ms

prune345.0ms

regimes151.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample667.0ms

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