Details

analyze802.0ms

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

sample25.0ms

Algorithm

intervals

Results

11.0ms	246×	body	80	valid
1.0ms	3×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	11×	body	80	invalid
0.0ms	2×	body	1280	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

prune17.0ms

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: 1.2b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.7b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

4.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
9.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
72.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
85.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
66.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5013	2453

prune188.0ms

Filtered

89 candidates to 115 candidates (-29.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	109	8	117

Merged error: 0.8b

Counts

117 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.7b	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
2.1b	(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

rewrite34.0ms

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))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
116.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
71.0ms	(* (* (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

prune157.0ms

Filtered

76 candidates to 108 candidates (-42.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	107	9	116

Merged error: 0.5b

Counts

116 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt y) (cbrt y)))
0.6b	(cbrt (cbrt y))
1.6b	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt (* (cbrt y) (cbrt y))))
2.1b	(* (* (cbrt y) (cbrt y)) (* z (* (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

38×	`pow1` `add-exp-log`
33×	`associate-*l/`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
23×	`add-cbrt-cube`
22×	`associate-*r/`
18×	`frac-sub`
13×	`add-sqr-sqrt`
12×	`cbrt-prod` `tanh-def-c` `tanh-def-b` `tanh-def-a`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`associate-l`
5×	`associate-r`
4×	`add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

4.0ms	(cbrt (* (cbrt y) (cbrt y)))
1.0ms	(cbrt (cbrt y))
11.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt (* (cbrt y) (cbrt y))))
26.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)))))

series276.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (* (cbrt y) (cbrt y)))
30.0ms	(cbrt (cbrt y))
137.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt (* (cbrt y) (cbrt y))))
74.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4995	2589
1	4995	2589

prune170.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	112	10	122

Merged error: 0.3b

Counts

122 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.9b	(* (cbrt y) (* (cbrt y) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
1.3b	(* (cbrt y) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.8b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

110×	`associate-*r/`
49×	`distribute-rgt-in` `distribute-lft-in`
36×	`frac-sub`
34×	`pow1` `add-exp-log`
30×	`sub-neg`
24×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
21×	`associate-l`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`cbrt-prod`
8×	`associate-r`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 166

Calls

4 calls:

10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
18.0ms	(* (cbrt y) (* (cbrt y) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
15.0ms	(* (cbrt y) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
15.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
73.0ms	(* (cbrt y) (* (cbrt y) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
130.0ms	(* (cbrt y) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
115.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5254	3843

prune203.0ms

Filtered

117 candidates to 178 candidates (-52.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	178	10	188

Merged error: 0.3b

Counts

188 → 10

regimes376.0ms

Accuracy

0% (1.3b remaining)

Error of 2.0b against oracle of 0.8b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	22
1	29	22

end0.0ms

sample668.0ms

Algorithm

intervals

Results

380.0ms	7761×	body	80	valid
22.0ms	476×	body	80	invalid
18.0ms	96×	body	640	valid
16.0ms	63×	body	1280	valid
6.0ms	47×	body	320	valid
3.0ms	33×	body	160	valid

Details

analyze802.0ms

sample25.0ms

simplify28.0ms

prune17.0ms

localize11.0ms

rewrite35.0ms

series332.0ms

simplify51.0ms

prune188.0ms

localize16.0ms

rewrite34.0ms

series230.0ms

simplify57.0ms

prune157.0ms

localize21.0ms

rewrite46.0ms

series276.0ms

simplify64.0ms

prune170.0ms

localize15.0ms

rewrite66.0ms

series404.0ms

simplify48.0ms

prune203.0ms

regimes376.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample668.0ms

Profiling