Details

sample30.0ms

Algorithm

intervals

Results

13.0ms	263×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	8
1	141	8
2	325	8
3	979	8
4	3700	8
5	5001	8

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ t y))
5.1b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

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

series191.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(tanh (/ x y))
72.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
26.0ms	(tanh (/ t y))
68.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify64.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	512	1026
1	2380	971
2	5001	971

prune139.0ms

Filtered

90 candidates to 71 candidates (21.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	5	91

Merged error: 2.2b

Counts

91 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.8b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
18×	`frac-sub`
14×	`tanh-def`
11×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`sub-neg` `associate-r` `associate-l`
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 → 92

Calls

4 calls:

2.0ms	(tanh (/ x y))
2.0ms	(tanh (/ t y))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(tanh (/ x y))
26.0ms	(tanh (/ t y))
86.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
66.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	470	1039
1	2128	970
2	5003	970

prune146.0ms

Filtered

104 candidates to 75 candidates (27.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	103	6	109

Merged error: 2.2b

Counts

109 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
2.0b	(* z (tanh (/ t y)))
2.1b	(* z (neg (tanh (/ x y))))
3.8b	(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

35×	`associate-*r/`
18×	`add-sqr-sqrt`
17×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity` `distribute-neg-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l` `frac-add` `tanh-def`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `flip3-+` `distribute-rgt-neg-out` `flip-+` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

2.0ms	(tanh (/ t y))
5.0ms	(* z (tanh (/ t y)))
6.0ms	(* z (neg (tanh (/ x y))))
10.0ms	(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

series163.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(tanh (/ t y))
31.0ms	(* z (tanh (/ t y)))
31.0ms	(* z (neg (tanh (/ x y))))
73.0ms	(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

simplify84.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	610	834
1	3200	775
2	5001	774

prune132.0ms

Filtered

104 candidates to 83 candidates (20.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 1.2b

Counts

110 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

3.8b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.7b	(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`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-rgt-in` `distribute-lft-in`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 97

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))))))

series507.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
146.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
147.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
149.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	561	1984
1	2028	1888
2	5002	1876

prune183.0ms

Filtered

109 candidates to 90 candidates (17.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	109	7	116

Merged error: 1.2b

Counts

116 → 7

regimes375.0ms

Accuracy

0% (0.9b remaining)

Error of 2.0b against oracle of 1.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	25	10
2	26	10
3	26	10

end0.0ms

sample831.0ms

Algorithm

intervals

Results

394.0ms	8306×	body	80	valid
22.0ms	104×	body	640	valid
14.0ms	56×	body	1280	valid
8.0ms	60×	body	320	valid
4.0ms	39×	body	160	valid

Details

sample30.0ms

simplify76.0ms

prune4.0ms

localize16.0ms

rewrite24.0ms

series191.0ms

simplify64.0ms

prune139.0ms

localize12.0ms

rewrite29.0ms

series205.0ms

simplify55.0ms

prune146.0ms

localize16.0ms

rewrite26.0ms

series163.0ms

simplify84.0ms

prune132.0ms

localize19.0ms

rewrite50.0ms

series507.0ms

simplify59.0ms

prune183.0ms

regimes375.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample831.0ms

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