Details

sample27.0ms

Algorithm

intervals

Results

14.0ms	278×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	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: 4.6b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.3b	(- (tanh (/ t y)) (tanh (/ x y)))
5.2b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite25.0ms

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

series562.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(tanh (/ t y))
84.0ms	(tanh (/ x y))
229.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
166.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

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

prune272.0ms

Filtered

90 candidates to 71 candidates (78.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Merged error: 1.8b

Counts

91 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.3b	(- (tanh (/ t y)) (tanh (/ x y)))
1.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
5.0b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite39.0ms

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))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series704.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(tanh (/ t y))
230.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
227.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
162.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (13.0ms)

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

prune315.0ms

Filtered

117 candidates to 86 candidates (73.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 1.2b

Counts

123 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
1.3b	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0b	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite47.0ms

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)
16.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
20.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series1.0s

Counts

4 → 12

Calls

4 calls:

384.0ms	(cbrt z)
191.0ms	(cbrt z)
244.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
196.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify82.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	636	1884
1	2886	1400
2	5003	1331

prune309.0ms

Filtered

129 candidates to 73 candidates (56.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	128	8	136

Merged error: 1.2b

Counts

136 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (cbrt z))
1.3b	(* (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0b	(* y (* (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt (cbrt z))
20.0ms	(* (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
23.0ms	(* y (* (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series872.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt z)
248.0ms	(cbrt (cbrt z))
242.0ms	(* (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
191.0ms	(* y (* (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify111.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	746	3045
1	3604	2442
2	5001	2403

prune382.0ms

Filtered

144 candidates to 81 candidates (56.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	144	8	152

Merged error: 1.2b

Counts

152 → 8

regimes162.0ms

Accuracy

45.6% (0.6b remaining)

Error of 1.6b against oracle of 1.0b and baseline of 2.1b

bsearch77.0ms

Steps

Iters	Range		Point
7	9.957219710147508e-81	2.250307747114975e-79	1.2470180769406097e-80
5	-3.958202426005718e+46	-1.284651138085913e+46	-1.3707252738241185e+46

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	25
1	35	25

end0.0ms

sample701.0ms

Algorithm

intervals

Results

425.0ms	8342×	body	80	valid
16.0ms	84×	body	640	valid
10.0ms	36×	body	1280	valid
10.0ms	69×	body	320	valid
3.0ms	33×	body	160	valid

Details

sample27.0ms

simplify78.0ms

prune3.0ms

localize14.0ms

rewrite25.0ms

series562.0ms

simplify63.0ms

prune272.0ms

localize11.0ms

rewrite39.0ms

series704.0ms

simplify64.0ms

prune315.0ms

localize14.0ms

rewrite47.0ms

series1.0s

simplify82.0ms

prune309.0ms

localize20.0ms

rewrite54.0ms

series872.0ms

simplify111.0ms

prune382.0ms

regimes162.0ms

bsearch77.0ms

simplify2.0ms

end0.0ms

sample701.0ms

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