Details

sample35.0ms

Algorithm

intervals

Results

17.0ms	265×	body	80	valid
1.0ms	6×	body	640	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

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: 4.3b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.3b	(* (* 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:

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

series271.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
25.0ms	(tanh (/ x y))
73.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
66.0ms	(* (* 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	592	1136
1	2728	1079
2	5001	1079

prune136.0ms

Filtered

73 candidates to 95 candidates (-30.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	6	96

Merged error: 1.0b

Counts

96 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.8b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite35.0ms

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:

4.0ms	(tanh (/ x 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)))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(tanh (/ x y))
73.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
86.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
63.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (13.0ms)

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

prune156.0ms

Filtered

85 candidates to 117 candidates (-37.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	117	6	123

Merged error: 0.3b

Counts

123 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (neg (tanh (/ x y))) z)
2.4b	(* (tanh (/ t y)) z)
3.7b	(* y (* (tanh (/ t y)) z))
4.6b	(* y (* (neg (tanh (/ x y))) z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-l`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*r/` `distribute-neg-frac`
4×	`*-commutative` `tanh-def` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-lft-neg-out` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 93

Calls

4 calls:

6.0ms	(* (neg (tanh (/ x y))) z)
5.0ms	(* (tanh (/ t y)) z)
6.0ms	(* y (* (tanh (/ t y)) z))
7.0ms	(* y (* (neg (tanh (/ x y))) z))

series139.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (neg (tanh (/ x y))) z)
35.0ms	(* (tanh (/ t y)) z)
34.0ms	(* y (* (tanh (/ t y)) z))
34.0ms	(* y (* (neg (tanh (/ x y))) z))

simplify50.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	413	588
1	1715	510
2	5001	509

prune102.0ms

Filtered

74 candidates to 105 candidates (-41.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	105	6	111

Merged error: 0.3b

Counts

111 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
4.3b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
5.3b	(sqrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.3b	(sqrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/`
36×	`frac-sub`
26×	`pow1`
24×	`tanh-def`
22×	`sqrt-div`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down`
10×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
6×	`add-cube-cbrt` `sqrt-pow1` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip--` `add-log-exp`
2×	`pow1/2` `associate-l` `sqrt-prod` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
10.0ms	(sqrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
10.0ms	(sqrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
65.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
116.0ms	(sqrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
119.0ms	(sqrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	494	1854
1	2213	1750
2	5003	1750

prune166.0ms

Filtered

92 candidates to 128 candidates (-39.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	128	6	134

Merged error: 0.3b

Counts

134 → 6

regimes328.0ms

Accuracy

0% (1.7b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	31	11
2	35	11
3	35	11

end0.0ms

sample842.0ms

Algorithm

intervals

Results

405.0ms	8278×	body	80	valid
20.0ms	102×	body	640	valid
13.0ms	50×	body	1280	valid
9.0ms	67×	body	320	valid
5.0ms	51×	body	160	valid

Details

sample35.0ms

simplify74.0ms

prune4.0ms

localize10.0ms

rewrite25.0ms

series271.0ms

simplify73.0ms

prune136.0ms

localize11.0ms

rewrite35.0ms

series248.0ms

simplify66.0ms

prune156.0ms

localize14.0ms

rewrite26.0ms

series139.0ms

simplify50.0ms

prune102.0ms

localize13.0ms

rewrite48.0ms

series366.0ms

simplify66.0ms

prune166.0ms

regimes328.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample842.0ms

Profiling