Details

sample337.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results

13.0ms	270×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	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

prune4.0ms

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: 5.1b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
5.4b	(* (* 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 (/ t y))
2.0ms	(tanh (/ x y))
6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(tanh (/ t y))
30.0ms	(tanh (/ x y))
79.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
74.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify62.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

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

prune144.0ms

Filtered

71 candidates to 90 candidates (-26.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 2.1b

Counts

91 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.3b	(* 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)))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(tanh (/ t y))
81.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
94.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
72.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	539	1404
1	2344	1324
2	5001	1324

prune172.0ms

Filtered

85 candidates to 117 candidates (-37.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	112	5	117
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	114	9	123

Merged error: 1.5b

Counts

123 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.7b	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.3b	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

55×	`associate-*r/`
34×	`pow1` `add-exp-log`
32×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`frac-sub`
12×	`sub-neg` `tanh-def`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`associate-l` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 117

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
15.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
18.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series224.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt z)
23.0ms	(cbrt z)
99.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
78.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify70.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	656	1908
1	2556	1424
2	5003	1339

prune142.0ms

Filtered

71 candidates to 129 candidates (-81.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	129	9	138

Merged error: 1.5b

Counts

138 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
3.6b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.6b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.6b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

297×	`cbrt-div`
243×	`frac-sub`
162×	`tanh-def`
154×	`associate-*r/`
121×	`frac-times`
27×	`flip3--` `flip--`
16×	`pow1` `add-exp-log`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
11×	`associate-*l/`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 237

Calls

4 calls:

31.0ms	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
6.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series666.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
158.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
158.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
156.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify137.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	1487	8070
1	4066	7932
2	5001	7911

prune1.1s

Filtered

220 candidates to 249 candidates (-13.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	249	9	258

Merged error: 1.5b

Counts

258 → 9

regimes429.0ms

Accuracy

0% (0.9b remaining)

Error of 2.0b against oracle of 1.2b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results

434.0ms	8320×	body	80	valid
21.0ms	93×	body	640	valid
14.0ms	51×	body	1280	valid
9.0ms	63×	body	320	valid
3.0ms	32×	body	160	valid

Details

sample337.0ms

simplify78.0ms

prune4.0ms

localize14.0ms

rewrite24.0ms

series210.0ms

simplify62.0ms

prune144.0ms

localize11.0ms

rewrite34.0ms

series275.0ms

simplify63.0ms

prune172.0ms

localize15.0ms

rewrite41.0ms

series224.0ms

simplify70.0ms

prune142.0ms

localize18.0ms

rewrite76.0ms

series666.0ms

simplify137.0ms

prune1.1s

regimes429.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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