Details

sample91.0ms

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

prune6.0ms

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))

simplify167.0ms

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

prune116.0ms

Filtered

53 candidates to 40 candidates (75.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series449.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
95.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))

simplify101.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune199.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))
0.0b	(sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y)))
0.0b	(sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y)))
0.1b	(* (sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `pow-prod-down`
20×	`associate-l`
17×	`add-cube-cbrt`
13×	`times-frac`
12×	`pow1/2`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow-prod-up`
8×	`associate-*l/`
7×	`associate-r`
6×	`sqrt-div` `sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
2×	`*-commutative`
1×	`cbrt-undiv` `pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-*r/` `div-exp` `rem-square-sqrt` `div-inv`

Counts

4 → 111

Calls

4 calls:

13.0ms	(* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))
7.0ms	(sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y)))
7.0ms	(sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y)))
18.0ms	(* (sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))
126.0ms	(sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y)))
119.0ms	(sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y)))
119.0ms	(* (sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (neg x))) 2.0) (cos y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	363	1124
1	1812	990
2	5001	935

prune249.0ms

Filtered

123 candidates to 74 candidates (60.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	123	3	126

Merged error: 0b

Counts

126 → 3

regimes35.0ms

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

sample2.0s

Algorithm: halfpoints

Details

sample91.0ms

simplify61.0ms

prune6.0ms

localize11.0ms

rewrite16.0ms

series84.0ms

simplify167.0ms

prune116.0ms

localize14.0ms

rewrite11.0ms

series449.0ms

simplify101.0ms

prune199.0ms

localize13.0ms

rewrite48.0ms

series420.0ms

simplify63.0ms

prune249.0ms

regimes35.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling