Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	268×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	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

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: 4.9b

Counts

2 → 1

localize14.0ms

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)))
5.5b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite25.0ms

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))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(tanh (/ t y))
82.0ms	(tanh (/ x y))
221.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
161.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify62.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

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

prune267.0ms

Filtered

90 candidates to 71 candidates (78.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 1.4b

Counts

91 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.3b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite39.0ms

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)))
14.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series673.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(tanh (/ t y))
219.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
217.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
156.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (13.0ms)

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

prune312.0ms

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	1	3	4
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Merged error: 1.3b

Counts

122 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
3.3b	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
20.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series726.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt z)
176.0ms	(cbrt z)
177.0ms	(cbrt z)
189.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify75.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	624	1168
1	2853	879
2	5002	847

prune262.0ms

Filtered

99 candidates to 62 candidates (62.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Merged error: 1.3b

Counts

106 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

5.3b	(cbrt (tanh (/ t y)))
5.3b	(cbrt (tanh (/ t y)))
5.3b	(cbrt (tanh (/ t y)))
5.5b	(* (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

441×	`cbrt-div`
243×	`frac-times`
236×	`associate-*r/`
210×	`tanh-def`
189×	`frac-sub`
81×	`associate-*l/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`flip3--` `associate-l` `*-commutative` `flip--`

Counts

4 → 255

Calls

4 calls:

2.0ms	(cbrt (tanh (/ t y)))
2.0ms	(cbrt (tanh (/ t y)))
2.0ms	(cbrt (tanh (/ t y)))
54.0ms	(* (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))

series685.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (tanh (/ t y)))
172.0ms	(cbrt (tanh (/ t y)))
174.0ms	(cbrt (tanh (/ t y)))
165.0ms	(* (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))

simplify108.0ms

Algorithm

egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	3721	9577
1	5003	9364

prune1.2s

Filtered

267 candidates to 183 candidates (68.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	267	7	274

Merged error: 1.3b

Counts

274 → 7

regimes141.0ms

Accuracy

0% (0.5b remaining)

Error of 1.8b against oracle of 1.4b 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

sample580.0ms

Algorithm

intervals

Results

331.0ms	8299×	body	80	valid
15.0ms	95×	body	640	valid
11.0ms	52×	body	1280	valid
6.0ms	56×	body	320	valid
3.0ms	40×	body	160	valid