Details

sample25.0ms

Algorithm

intervals

Results

13.0ms	268×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	320	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	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: 4.3b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
4.1b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

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

series327.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(tanh (/ x y))
83.0ms	(tanh (/ t y))
163.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	426	596
1	2079	552
2	5001	552

prune182.0ms

Filtered

64 candidates to 49 candidates (76.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	5	65

Merged error: 1.5b

Counts

65 → 5

localize11.0ms

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))))
3.4b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite30.0ms

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

series535.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(tanh (/ x y))
81.0ms	(tanh (/ t y))
213.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
160.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	470	1039
1	2128	970
2	5002	970

prune271.0ms

Filtered

104 candidates to 76 candidates (73.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	103	6	109

Merged error: 1.4b

Counts

109 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

3.4b	(* y (* z (- (tanh (/ t y)) (* (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y)))) (cbrt (tanh (/ x y)))))))
6.4b	(cbrt (tanh (/ x y)))
6.4b	(cbrt (tanh (/ x y)))
6.4b	(cbrt (tanh (/ x y)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

441×	`cbrt-div`
427×	`associate-*r/`
243×	`frac-times`
210×	`tanh-def`
189×	`frac-sub`
81×	`associate-*l/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
4×	`sub-neg` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`flip3--` `associate-r` `*-commutative` `flip--`

Counts

4 → 259

Calls

4 calls:

57.0ms	(* y (* z (- (tanh (/ t y)) (* (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y)))) (cbrt (tanh (/ x y)))))))
2.0ms	(cbrt (tanh (/ x y)))
2.0ms	(cbrt (tanh (/ x y)))
2.0ms	(cbrt (tanh (/ x y)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* y (* z (- (tanh (/ t y)) (* (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y)))) (cbrt (tanh (/ x y)))))))
174.0ms	(cbrt (tanh (/ x y)))
175.0ms	(cbrt (tanh (/ x y)))
177.0ms	(cbrt (tanh (/ x y)))

simplify109.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	3017	9634
1	5001	9350

prune1.3s

Filtered

271 candidates to 184 candidates (67.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	271	6	277

Merged error: 1.4b

Counts

277 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.8b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.9b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite50.0ms

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)
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
19.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
13.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series893.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
212.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
186.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
315.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify96.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	678	2084
1	3154	1715
2	5003	1651

prune338.0ms

Filtered

153 candidates to 90 candidates (58.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	153	6	159

Merged error: 1.4b

Counts

159 → 6

regimes114.0ms

Accuracy

0% (1.0b 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	15	8
1	15	8

end0.0ms

sample674.0ms

Algorithm

intervals

Results

413.0ms	8332×	body	80	valid
19.0ms	98×	body	640	valid
12.0ms	47×	body	1280	valid
8.0ms	60×	body	320	valid
3.0ms	34×	body	160	valid