Details

sample26.0ms

Algorithm

intervals

Results

13.0ms	276×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify75.0ms

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	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: 4.8b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

2.0ms	(tanh (/ x y))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
4.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
12.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series810.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(tanh (/ x y))
227.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
336.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
165.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify76.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	592	1136
1	2718	1079
2	5001	1079

prune253.0ms

Filtered

95 candidates to 73 candidates (76.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	6	96

Merged error: 0.6b

Counts

96 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.1b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

2.0ms	(tanh (/ t y))
4.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
13.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series801.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(tanh (/ t y))
337.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
218.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
164.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	544	1169
1	2420	1098
2	5001	1098

prune271.0ms

Filtered

113 candidates to 78 candidates (69.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	112	7	119

Merged error: 0.0b

Counts

119 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.4b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
2.0b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite57.0ms

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)
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
24.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
14.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series915.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
223.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
190.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
326.0ms	(* (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	3154	1715
2	5003	1651

prune360.0ms

Filtered

153 candidates to 90 candidates (58.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	153	7	160

Merged error: 0.0b

Counts

160 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
8.1b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
8.1b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
8.1b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/`
36×	`frac-sub`
33×	`cbrt-div`
24×	`tanh-def`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt` `associate-r`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

15.0ms	(* (* 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)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
375.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
383.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
387.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	563	1952
1	2366	1856
2	5001	1838

prune451.0ms

Filtered

107 candidates to 91 candidates (85.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

regimes159.0ms

Accuracy

0% (1.7b remaining)

Error of 2.1b against oracle of 0.4b 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

sample651.0ms

Algorithm

intervals

Results

385.0ms	8331×	body	80	valid
18.0ms	88×	body	640	valid
15.0ms	58×	body	1280	valid
8.0ms	63×	body	320	valid
3.0ms	35×	body	160	valid