Details

analyze788.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
7.8%	92%	0.2%	9
10.9%	88.9%	0.2%	10
34.7%	65.1%	0.2%	11
43.1%	56.7%	0.2%	12
44.2%	55.7%	0.2%	13
49.5%	50.3%	0.2%	14

sample30.0ms

Algorithm

intervals

Results

12.0ms	250×	body	80	valid
1.0ms	5×	body	640	valid
1.0ms	16×	body	80	invalid
0.0ms	1×	body	1280	valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5059	15

prune13.0ms

Filtered

1 candidates to 1 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: 1.3b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.8b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
5.5b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
18×	`frac-sub`
14×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
11×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`sub-neg` `associate-r` `associate-l`
5×	`distribute-rgt-in` `distribute-lft-in`
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 → 86

Calls

4 calls:

2.0ms	(tanh (/ t y))
2.0ms	(tanh (/ x y))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(tanh (/ t y))
27.0ms	(tanh (/ x y))
91.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
70.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify30.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5619	1645

prune151.0ms

Filtered

75 candidates to 98 candidates (-30.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	95	5	100

Merged error: 1.3b

Counts

100 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.9b	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
3.3b	(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log`
22×	`associate-r/` `associate-l/`
18×	`frac-sub` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt`
12×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
11×	`*-un-lft-identity`
10×	`cbrt-prod`
9×	`add-cube-cbrt`
7×	`associate-r`
6×	`associate-l`
4×	`add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
18.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
24.0ms	(cbrt y)
120.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
76.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4989	1739
1	4989	1739

prune155.0ms

Filtered

76 candidates to 108 candidates (-42.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	105	8	113

Merged error: 0.5b

Counts

113 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

2.9b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.3b	(* (* (cbrt y) (cbrt y)) (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))))

rewrite777.0ms

Algorithm

rewrite-expression-head

Rules

5181×	`associate-*r/`
4785×	`cbrt-div`
3915×	`frac-sub`
3025×	`frac-times`
2610×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
435×	`flip3--` `flip--`
275×	`associate-*l/`
60×	`pow1` `add-exp-log`
44×	`pow-prod-down` `prod-exp` `cbrt-unprod`
32×	`add-cbrt-cube`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 1845

Calls

4 calls:

14.0ms	(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))))
284.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))))

series561.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
150.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
154.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
81.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))))

simplify795.0ms

Algorithm

egg-herbie

Counts

1857 → 1857

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5587	197365

prune36.6s

Filtered

1840 candidates to 1857 candidates (-0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1857	0	1857
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	1857	8	1865

Merged error: 0.5b

Counts

1865 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b	(* z (neg (tanh (/ x y))))
1.6b	(* z (tanh (/ t y)))
7.5b	(* y (* z (neg (tanh (/ x y)))))
7.6b	(* y (* z (tanh (/ t y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-neg-frac`
4×	`tanh-def-c` `*-commutative` `tanh-def-b` `add-log-exp` `tanh-def-a`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`unswap-sqr`
1×	`neg-mul-1`

Counts

4 → 93

Calls

4 calls:

6.0ms	(* z (neg (tanh (/ x y))))
5.0ms	(* z (tanh (/ t y)))
6.0ms	(* y (* z (neg (tanh (/ x y)))))
6.0ms	(* y (* z (tanh (/ t y))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* z (neg (tanh (/ x y))))
33.0ms	(* z (tanh (/ t y)))
34.0ms	(* y (* z (neg (tanh (/ x y)))))
31.0ms	(* y (* z (tanh (/ t y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5058	858

prune96.0ms

Filtered

75 candidates to 105 candidates (-40.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	3	2	5
Picked	1	0	1
Done	2	0	2
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

regimes337.0ms

Accuracy

67.5% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 4.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	101	79
1	101	79

end0.0ms

sample665.0ms

Algorithm

intervals

Results

381.0ms	7754×	body	80	valid
28.0ms	581×	body	80	invalid
19.0ms	102×	body	640	valid
11.0ms	43×	body	1280	valid
9.0ms	68×	body	320	valid
3.0ms	33×	body	160	valid
0.0ms	1×	body	160	invalid

Details

analyze788.0ms

sample30.0ms

simplify28.0ms

prune13.0ms

localize11.0ms

rewrite28.0ms

series217.0ms

simplify30.0ms

prune151.0ms

localize17.0ms

rewrite36.0ms

series241.0ms

simplify57.0ms

prune155.0ms

localize20.0ms

rewrite777.0ms

series561.0ms

simplify795.0ms

prune36.6s

localize14.0ms

rewrite26.0ms

series131.0ms

simplify48.0ms

prune96.0ms

regimes337.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample665.0ms

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