Details

sample110.0ms

Algorithm: halfpoints

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	437	7
6	1047	7
7	2007	7
8	5001	7

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (neg x)))
0.0b	(* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate-l`
13×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 47

Calls

2 calls:

4.0ms	(+ (exp x) (exp (neg x)))
10.0ms	(* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp x) (exp (neg x)))
62.0ms	(* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))

simplify169.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	279	461
1	1020	404
2	4811	402
3	5002	402

prune120.0ms

Filtered

53 candidates to 40 candidates (75.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (neg x)))
0.0b	(sqrt (/ (+ (exp x) (exp (neg x))) 2.0))
0.0b	(sqrt (/ (+ (exp x) (exp (neg x))) 2.0))
0.0b	(* (sqrt (/ (+ (exp x) (exp (neg x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (neg x))) 2.0)) (cos y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
48×	`sqrt-prod`
38×	`times-frac`
35×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
19×	`associate-l`
11×	`pow1`
10×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-div` `add-log-exp`
4×	`rem-sqrt-square`
3×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv`
2×	`sqrt-pow1` `pow1/2`
1×	`+-commutative` `frac-times` `flip3-+` `associate-r/` `associate-r` `sum-log` `-commutative` `flip-+`

Counts

4 → 105

Calls

4 calls:

5.0ms	(+ (exp x) (exp (neg x)))
6.0ms	(sqrt (/ (+ (exp x) (exp (neg x))) 2.0))
6.0ms	(sqrt (/ (+ (exp x) (exp (neg x))) 2.0))
18.0ms	(* (sqrt (/ (+ (exp x) (exp (neg x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (neg x))) 2.0)) (cos y)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (neg x)))
99.0ms	(sqrt (/ (+ (exp x) (exp (neg x))) 2.0))
97.0ms	(sqrt (/ (+ (exp x) (exp (neg x))) 2.0))
122.0ms	(* (sqrt (/ (+ (exp x) (exp (neg x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (neg x))) 2.0)) (cos y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	390	1330
1	1330	1167
2	5001	1146

prune297.0ms

Filtered

117 candidates to 87 candidates (74.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (neg x)))
0.0b	(+ (exp x) (exp (neg x)))
0.2b	(* (/ (sqrt (+ (exp x) (exp (neg x)))) 2.0) (cos y))
0.7b	(* (/ (sqrt (+ (exp x) (exp (neg x)))) 1) (* (/ (sqrt (+ (exp x) (exp (neg x)))) 2.0) (cos y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

50×	`associate-l`
49×	`*-un-lft-identity`
44×	`times-frac`
41×	`add-sqr-sqrt`
39×	`add-exp-log`
33×	`add-cube-cbrt`
30×	`add-cbrt-cube`
25×	`sqrt-prod`
17×	`prod-exp`
12×	`cbrt-unprod`
11×	`pow1`
10×	`div-exp`
8×	`distribute-lft-out` `add-log-exp`
6×	`cbrt-undiv`
4×	`associate-r` `pow-prod-down` `associate-*l/`
3×	`1-exp` `unswap-sqr`
2×	`+-commutative` `flip3-+` `sum-log` `*-commutative` `flip-+` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 123

Calls

4 calls:

4.0ms	(+ (exp x) (exp (neg x)))
5.0ms	(+ (exp x) (exp (neg x)))
11.0ms	(* (/ (sqrt (+ (exp x) (exp (neg x)))) 2.0) (cos y))
22.0ms	(* (/ (sqrt (+ (exp x) (exp (neg x)))) 1) (* (/ (sqrt (+ (exp x) (exp (neg x)))) 2.0) (cos y)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (neg x)))
26.0ms	(+ (exp x) (exp (neg x)))
89.0ms	(* (/ (sqrt (+ (exp x) (exp (neg x)))) 2.0) (cos y))
56.0ms	(* (/ (sqrt (+ (exp x) (exp (neg x)))) 1) (* (/ (sqrt (+ (exp x) (exp (neg x)))) 2.0) (cos y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	565	1692
1	2596	1266
2	5001	1219

prune293.0ms

Filtered

135 candidates to 87 candidates (64.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	135	4	139

Merged error: 0b

Counts

139 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (cos y))
0.7b	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (cos y)))
1.0b	(/ (+ (exp x) (exp (neg x))) (sqrt 2.0))
1.0b	(/ 1 (sqrt 2.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
86×	`times-frac`
73×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
54×	`add-exp-log`
50×	`associate-l`
49×	`sqrt-prod`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1` `distribute-lft-out`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
7×	`associate-/l*`
4×	`rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+` `inv-pow`

Counts

4 → 195

Calls

4 calls:

12.0ms	(* (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (cos y))
16.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (cos y)))
8.0ms	(/ (+ (exp x) (exp (neg x))) (sqrt 2.0))
4.0ms	(/ 1 (sqrt 2.0))

series326.0ms

Counts

4 → 10

Calls

4 calls:

102.0ms	(* (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (cos y))
147.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (cos y)))
76.0ms	(/ (+ (exp x) (exp (neg x))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	612	2109
1	3343	1799
2	5001	1697

prune362.0ms

Filtered

205 candidates to 110 candidates (53.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	205	4	209

Merged error: 0b

Counts

209 → 4

regimes42.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample2.3s

Algorithm: halfpoints

Details

sample110.0ms

simplify61.0ms

prune10.0ms

localize11.0ms

rewrite16.0ms

series84.0ms

simplify169.0ms

prune120.0ms

localize14.0ms

rewrite39.0ms

series340.0ms

simplify49.0ms

prune297.0ms

localize15.0ms

rewrite47.0ms

series193.0ms

simplify65.0ms

prune293.0ms

localize15.0ms

rewrite48.0ms

series326.0ms

simplify84.0ms

prune362.0ms

regimes42.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling