Details

sample33.0ms

Algorithm

intervals

Results

13.0ms	271×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify74.0ms

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

prune11.0ms

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: 5.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ x y))
5.7b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms	(tanh (/ x y))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
115.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
28.0ms	(tanh (/ x y))
70.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify71.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	592	1136
1	2728	1079
2	5001	1079

prune542.0ms

Filtered

95 candidates to 73 candidates (23.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	89	6	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	6	96

Merged error: 0.5b

Counts

96 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.0b	(* 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 (/ t y))
2.0ms	(tanh (/ x y))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(tanh (/ t y))
28.0ms	(tanh (/ x y))
90.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
69.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

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

prune699.0ms

Filtered

104 candidates to 76 candidates (26.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Merged error: 0.2b

Counts

110 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.9b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.4b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite52.0ms

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

series299.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
116.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
90.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
71.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify79.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	698	2096
1	2850	1728
2	5003	1656

prune988.0ms

Filtered

153 candidates to 89 candidates (41.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	153	5	158

Merged error: 0.2b

Counts

158 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

1.7b	(* z (tanh (/ x y)))
4.8b	(+ (* (* (pow (cbrt y) 3) (tanh (/ t y))) z) (* (neg y) (* z (tanh (/ x y)))))
5.4b	(* (neg y) (* z (tanh (/ x y))))
8.7b	(* (pow (cbrt y) 3) (tanh (/ t y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

39×	`associate-*r/`
31×	`associate-l`
28×	`add-sqr-sqrt`
16×	`add-exp-log`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-*l/` `frac-add` `tanh-def`
8×	`cbrt-prod` `unpow-prod-down` `cube-prod`
7×	`associate-r` `prod-exp` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`pow-prod-down`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative`
2×	`sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `neg-mul-1` `flip3-+` `unpow3` `unsub-neg` `pow-exp` `sum-log` `flip-+`

Counts

4 → 114

Calls

4 calls:

5.0ms	(* z (tanh (/ x y)))
11.0ms	(+ (* (* (pow (cbrt y) 3) (tanh (/ t y))) z) (* (neg y) (* z (tanh (/ x y)))))
7.0ms	(* (neg y) (* z (tanh (/ x y))))
8.0ms	(* (pow (cbrt y) 3) (tanh (/ t y)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* z (tanh (/ x y)))
68.0ms	(+ (* (* (pow (cbrt y) 3) (tanh (/ t y))) z) (* (neg y) (* z (tanh (/ x y)))))
31.0ms	(* (neg y) (* z (tanh (/ x y))))
27.0ms	(* (pow (cbrt y) 3) (tanh (/ t y)))

simplify121.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	658	1126
1	3638	1046
2	5002	1037

prune974.0ms

Filtered

126 candidates to 93 candidates (26.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	1	3
Picked	1	0	1
Done	1	0	1
Total	128	3	131

Merged error: 0b

Counts

131 → 3

regimes290.0ms

Accuracy

34.7% (3.6b remaining)

Error of 3.9b against oracle of 0.3b and baseline of 5.8b

bsearch98.0ms

Steps

Iters	Range		Point
8	53342933.17227377	46229415639.65354	45574721038.57689
5	-2.0595757140125136e+47	-6.199818694421742e+46	-2.0090538026129658e+47

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	20
1	49	20
2	49	20

end0.0ms

sample826.0ms

Algorithm

intervals

Results

401.0ms	8291×	body	80	valid
19.0ms	107×	body	640	valid
11.0ms	42×	body	1280	valid
9.0ms	64×	body	320	valid
4.0ms	41×	body	160	valid

Details

sample33.0ms

simplify74.0ms

prune11.0ms

localize11.0ms

rewrite25.0ms

series289.0ms

simplify71.0ms

prune542.0ms

localize11.0ms

rewrite30.0ms

series216.0ms

simplify57.0ms

prune699.0ms

localize15.0ms

rewrite52.0ms

series299.0ms

simplify79.0ms

prune988.0ms

localize18.0ms

rewrite35.0ms

series158.0ms

simplify121.0ms

prune974.0ms

regimes290.0ms

bsearch98.0ms

simplify2.0ms

end0.0ms

sample826.0ms

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