Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	263×	body	80	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid

simplify76.0ms

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: 3.8b

Counts

2 → 1

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))
0.2b	(- (tanh (/ t y)) (tanh (/ x y)))
4.1b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite29.0ms

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:

6.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms	(tanh (/ t y))
6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series801.0ms

Counts

4 → 12

Calls

4 calls:

335.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
81.0ms	(tanh (/ t y))
227.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
158.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify74.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	584	1136
1	2658	1079
2	5002	1079

prune290.0ms

Filtered

95 candidates to 73 candidates (76.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	89	6	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	6	96

Merged error: 0.3b

Counts

96 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.2b	(- (tanh (/ t y)) (tanh (/ x y)))
0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.7b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite34.0ms

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))
6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series671.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(tanh (/ t y))
222.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
210.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
161.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (14.0ms)

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

prune348.0ms

Filtered

117 candidates to 86 candidates (73.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Merged error: 0.2b

Counts

123 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y)))
0.7b	(* z (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y))))
2.7b	(* y (* z (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y)))))
9.5b	(cbrt (pow (tanh (/ t y)) 3))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
30×	`cube-div` `add-sqr-sqrt` `cbrt-div`
27×	`frac-sub`
20×	`cbrt-prod`
19×	`tanh-def`
14×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in` `associate-r` `difference-of-squares`
7×	`sub-neg`
6×	`associate-l` `add-log-exp`
5×	`unpow-prod-down` `cube-prod`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--` `sqr-pow`
2×	`*-commutative` `distribute-lft-out--`
1×	`cube-mult` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

11.0ms	(- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y)))
19.0ms	(* z (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y))))
16.0ms	(* y (* z (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y)))))
4.0ms	(cbrt (pow (tanh (/ t y)) 3))

series671.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y)))
216.0ms	(* z (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y))))
154.0ms	(* y (* z (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y)))))
82.0ms	(cbrt (pow (tanh (/ t y)) 3))

simplify77.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	658	1834
1	2947	1610
2	5002	1609

prune443.0ms

Filtered

139 candidates to 99 candidates (71.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	138	7	145

Merged error: 0.2b

Counts

145 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* y (tanh (/ t y))) z) (* y (* (- (tanh (/ x y))) z)))
2.1b	(* (- (tanh (/ x y))) z)
2.9b	(* y (* (- (tanh (/ x y))) z))
5.6b	(* y (tanh (/ t y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r/` `associate-l/`
16×	`associate-l`
15×	`add-sqr-sqrt` `distribute-neg-frac`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`frac-add` `tanh-def`
7×	`associate-r`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-neg-out`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative` `distribute-rgt-neg-out`
2×	`unswap-sqr`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

4 → 94

Calls

4 calls:

9.0ms	(+ (* (* y (tanh (/ t y))) z) (* y (* (- (tanh (/ x y))) z)))
6.0ms	(* (- (tanh (/ x y))) z)
7.0ms	(* y (* (- (tanh (/ x y))) z))
5.0ms	(* y (tanh (/ t y)))

series447.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ (* (* y (tanh (/ t y))) z) (* y (* (- (tanh (/ x y))) z)))
100.0ms	(* (- (tanh (/ x y))) z)
111.0ms	(* y (* (- (tanh (/ x y))) z))
70.0ms	(* y (tanh (/ t y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	616	953
1	2992	887
2	5001	884

prune323.0ms

Filtered

106 candidates to 80 candidates (75.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	2	2	4
Picked	1	0	1
Done	1	1	2
Total	108	5	113

Merged error: 0.2b

Counts

113 → 5

regimes110.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.2b 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

sample593.0ms

Algorithm

intervals

Results

334.0ms	8278×	body	80	valid
14.0ms	92×	body	640	valid
8.0ms	74×	body	320	valid
8.0ms	39×	body	1280	valid
3.0ms	35×	body	160	valid