Details

sample26.0ms

Algorithm

intervals

Results

13.0ms	265×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify78.0ms

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

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: 5.8b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
6.8b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
8×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r` `add-log-exp`
4×	`add-cube-cbrt`
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

3 → 68

Calls

3 calls:

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

series451.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(tanh (/ x y))
213.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
159.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify60.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	509	961
1	2368	906
2	5001	906

prune221.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	6	78

Merged error: 1.9b

Counts

78 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.9b	(* 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 (/ x y))
7.0ms	(- (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)))))

series662.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(tanh (/ x y))
223.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
209.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
156.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	553	1404
1	2417	1324
2	5003	1324

prune301.0ms

Filtered

117 candidates to 86 candidates (73.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 1.1b

Counts

123 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.9b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.3b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

66×	`associate-*r/`
39×	`pow1`
34×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in`
28×	`add-sqr-sqrt`
27×	`frac-sub`
21×	`pow-prod-down`
20×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
19×	`cbrt-prod`
18×	`*-un-lft-identity` `tanh-def`
16×	`add-cube-cbrt` `associate-l`
14×	`sub-neg`
13×	`associate-r`
6×	`pow1/3` `swap-sqr`
5×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 170

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
19.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series940.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt y) (cbrt y))
218.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
325.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
187.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify116.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	723	2226
1	3674	1836
2	5002	1753

prune451.0ms

Filtered

182 candidates to 105 candidates (57.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	178	4	182
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	180	11	191

Merged error: 1.1b

Counts

191 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.9b	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
5.9b	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
5.9b	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

132×	`associate-*r/`
36×	`frac-sub`
33×	`cbrt-div`
25×	`pow1` `add-exp-log`
24×	`distribute-rgt-in` `distribute-lft-in` `tanh-def`
15×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
8×	`sub-neg`
4×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 115

Calls

4 calls:

19.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
17.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
21.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
17.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))

series1.6s

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
476.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
476.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
490.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))

simplify87.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	776	2891
1	2848	2513
2	5001	2424

prune543.0ms

Filtered

127 candidates to 92 candidates (72.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	127	11	138

Merged error: 1.1b

Counts

138 → 11

regimes186.0ms

Accuracy

0% (1.2b remaining)

Error of 2.1b against oracle of 0.9b and baseline of 2.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample659.0ms

Algorithm

intervals

Results

403.0ms	8345×	body	80	valid
16.0ms	89×	body	640	valid
13.0ms	43×	body	1280	valid
9.0ms	66×	body	320	valid
4.0ms	40×	body	160	valid

Details

sample26.0ms

simplify78.0ms

prune3.0ms

localize14.0ms

rewrite22.0ms

series451.0ms

simplify60.0ms

prune221.0ms

localize11.0ms

rewrite34.0ms

series662.0ms

simplify71.0ms

prune301.0ms

localize19.0ms

rewrite54.0ms

series940.0ms

simplify116.0ms

prune451.0ms

localize21.0ms

rewrite80.0ms

series1.6s

simplify87.0ms

prune543.0ms

regimes186.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample659.0ms

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