Details

sample100.0ms

Algorithm: halfpoints

simplify58.0ms

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	410	7
6	1017	7
7	2074	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 (- x)))
0.0b	(* (/ (+ (exp x) (exp (- 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 (- x)))
10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp x) (exp (- x)))
64.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify164.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	277	461
1	1018	404
2	4757	402
3	5001	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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`swap-sqr`
19×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 168

Calls

4 calls:

5.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
5.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
6.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
25.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))

series834.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
177.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
179.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
295.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	320	2688
1	1242	2575
2	5002	2431

prune477.0ms

Filtered

180 candidates to 122 candidates (67.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	180	4	184

Merged error: 0b

Counts

184 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.3b	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.3b	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.3b	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

6.0ms	(* (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
7.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
11.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
7.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

series642.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
150.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
149.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
144.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

simplify158.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	231	984
1	900	847
2	4518	761
3	5001	751

prune215.0ms

Filtered

76 candidates to 57 candidates (75.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0b

Counts

80 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

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:

13.0ms	(* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y))
17.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
8.0ms	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
5.0ms	(/ 1 (sqrt 2.0))

series328.0ms

Counts

4 → 10

Calls

4 calls:

104.0ms	(* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y))
144.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
79.0ms	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	609	2113
1	3335	1803
2	5001	1701

prune370.0ms

Filtered

205 candidates to 111 candidates (54.1%)

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

sample2.6s

Algorithm: halfpoints