Details

analyze823.0ms

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

sample26.0ms

Algorithm

intervals

Results

12.0ms	251×	body	80	valid
1.0ms	22×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	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 (/ x y))
0.0b	(tanh (/ t y))
0.8b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.1b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite32.0ms

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 (/ x y))
2.0ms	(tanh (/ t y))
13.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(tanh (/ x y))
28.0ms	(tanh (/ t y))
91.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
65.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify28.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5619	1645

prune141.0ms

Filtered

75 candidates to 98 candidates (-30.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	94	6	100

Merged error: 1.2b

Counts

100 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))
1.2b	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
2.4b	(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

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

series341.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
124.0ms	(* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))
122.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
72.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4980	2399
1	4980	2399

prune185.0ms

Filtered

93 candidates to 126 candidates (-35.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	123	9	132

Merged error: 0.8b

Counts

132 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (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))))))))
2.8b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.8b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.8b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite759.0ms

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:

279.0ms	(* (* (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))))))))
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))))

series540.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (* (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))))))))
153.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
151.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
162.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify781.0ms

Algorithm

egg-herbie

Counts

1857 → 1857

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5587	197365

prune34.6s

Filtered

1840 candidates to 1857 candidates (-0.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1857	0	1857
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	1857	9	1866

Merged error: 0.8b

Counts

1866 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

4.1b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
7.4b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.4b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.4b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

88×	`associate-*r/`
36×	`frac-sub`
33×	`cbrt-div`
24×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 93

Calls

4 calls:

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

series542.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
157.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
156.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
160.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify51.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5129	3137

prune180.0ms

Filtered

90 candidates to 105 candidates (-16.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	105	9	114

Merged error: 0.8b

Counts

114 → 9

regimes416.0ms

Accuracy

0% (1.3b remaining)

Error of 1.9b against oracle of 0.6b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	22
1	29	22

end0.0ms

sample749.0ms

Algorithm

intervals

Results

423.0ms	7763×	body	80	valid
30.0ms	563×	body	80	invalid
19.0ms	89×	body	640	valid
12.0ms	42×	body	1280	valid
9.0ms	63×	body	320	valid
7.0ms	43×	body	160	valid

Details

analyze823.0ms

sample26.0ms

simplify28.0ms

prune13.0ms

localize11.0ms

rewrite32.0ms

series212.0ms

simplify28.0ms

prune141.0ms

localize15.0ms

rewrite49.0ms

series341.0ms

simplify63.0ms

prune185.0ms

localize21.0ms

rewrite759.0ms

series540.0ms

simplify781.0ms

prune34.6s

localize18.0ms

rewrite50.0ms

series542.0ms

simplify51.0ms

prune180.0ms

regimes416.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample749.0ms

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