Details

analyze793.0ms

Algorithm: search

sample26.0ms

Algorithm

intervals

Results

12.0ms	247×	body	80	valid
1.0ms	17×	body	80	invalid
1.0ms	4×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	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

prune5.0ms

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: 2.7b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.9b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite27.0ms

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:

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

series271.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(tanh (/ t y))
72.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
110.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
64.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	584	1136
1	2668	1079
2	5003	1079

prune134.0ms

Filtered

73 candidates to 95 candidates (-30.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	91	4	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	5	96

Merged error: 0.3b

Counts

96 → 5

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
4.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
9.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
14.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
106.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
85.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
64.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	628	1534
1	2721	1452
2	5001	1452

prune162.0ms

Filtered

88 candidates to 126 candidates (-43.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	126	5	131

Merged error: 0.1b

Counts

131 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
7.3b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.3b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.3b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

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

series497.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
146.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
144.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
144.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	559	1964
1	2379	1868
2	5003	1856

prune190.0ms

Filtered

91 candidates to 107 candidates (-17.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Merged error: 0.1b

Counts

112 → 5

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* x z))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- x (* x z))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(- x (* x z))

simplify62.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	64	60
1	197	54
2	683	53
3	1922	53
4	5002	53

prune17.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	14	6	20

Merged error: 0.1b

Counts

20 → 6

regimes366.0ms

Accuracy

30.3% (1.2b remaining)

Error of 1.6b against oracle of 0.4b and baseline of 2.1b

bsearch1.4s

Steps

Iters	Range		Point
9	2.045783137707596	774008.8956702804	2983.9344650340468
8	-2.1036873381583656e+37	-2.0196985689323307e+34	-6.583649659378599e+35

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms

analyze767.0ms

Algorithm: search

sample687.0ms

Algorithm

intervals

Results

387.0ms	7755×	body	80	valid
29.0ms	601×	body	80	invalid
18.0ms	86×	body	640	valid
16.0ms	52×	body	1280	valid
9.0ms	67×	body	320	valid
7.0ms	40×	body	160	valid

Details

analyze793.0ms

sample26.0ms

simplify78.0ms

prune5.0ms

localize11.0ms

rewrite27.0ms

series271.0ms

simplify73.0ms

prune134.0ms

localize11.0ms

rewrite37.0ms

series326.0ms

simplify77.0ms

prune162.0ms

localize16.0ms

rewrite47.0ms

series497.0ms

simplify69.0ms

prune190.0ms

localize3.0ms

rewrite3.0ms

series5.0ms

simplify62.0ms

prune17.0ms

regimes366.0ms

bsearch1.4s

simplify2.0ms

end0.0ms

analyze767.0ms

sample687.0ms

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