Details

sample123.0ms

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))

series86.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify168.0ms

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

prune131.0ms

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: 0.0b

Counts

54 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
0.0b	(pow (+ (exp (* -1 x)) (exp x)) 3)
0.3b	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
60×	`cbrt-prod`
57×	`add-sqr-sqrt`
56×	`times-frac`
55×	`associate-l`
41×	`add-cube-cbrt`
21×	`unpow-prod-down` `cube-prod`
11×	`distribute-lft-out`
10×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp` `unswap-sqr` `sqr-pow`
5×	`cube-mult` `unpow3`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`cbrt-div` `prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `sum-log` `-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 142

Calls

4 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
15.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
5.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
5.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))

series148.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (exp (* -1 x)) (exp x))
60.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
46.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
22.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	472	1407
1	1793	1294
2	5001	1275

prune360.0ms

Filtered

154 candidates to 97 candidates (63.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	154	4	158

Merged error: 0b

Counts

158 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(pow (exp (cos y)) (/ (+ (exp (* -1 x)) (exp x)) 2.0))
0.1b	(exp (cos y))
0.3b	(log (pow (exp (cos y)) (/ (+ (exp (* -1 x)) (exp x)) 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`pow-unpow`
12×	`times-frac`
7×	`log-prod` `add-log-exp`
6×	`unpow-prod-down` `exp-prod`
5×	`pow1` `add-exp-log`
4×	`pow-pow` `add-cbrt-cube` `distribute-lft-out`
3×	`rem-log-exp`
2×	`pow-to-exp` `pow-exp` `sqr-pow`
1×	`+-commutative` `flip3-+` `sum-log` `log-pow` `flip-+` `div-inv` `rem-exp-log`

Counts

4 → 74

Calls

4 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
7.0ms	(pow (exp (cos y)) (/ (+ (exp (* -1 x)) (exp x)) 2.0))
2.0ms	(exp (cos y))
4.0ms	(log (pow (exp (cos y)) (/ (+ (exp (* -1 x)) (exp x)) 2.0)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (* -1 x)) (exp x))
104.0ms	(pow (exp (cos y)) (/ (+ (exp (* -1 x)) (exp x)) 2.0))
37.0ms	(exp (cos y))
104.0ms	(log (pow (exp (cos y)) (/ (+ (exp (* -1 x)) (exp x)) 2.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	355	755
1	1300	691
2	5001	679

prune242.0ms

Filtered

86 candidates to 63 candidates (73.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y))
0.2b	(* (/ (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (sqrt 2.0)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y)))
0.3b	(cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))))
1.0b	(cbrt (+ (exp (* -1 x)) (exp x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

74×	`associate-l`
70×	`times-frac`
62×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`add-cube-cbrt`
37×	`cbrt-prod`
35×	`sqrt-prod`
30×	`add-exp-log`
24×	`add-cbrt-cube`
12×	`prod-exp` `cbrt-unprod`
11×	`pow1`
10×	`cbrt-div`
7×	`flip3-+` `flip-+` `distribute-lft-out`
6×	`cbrt-undiv` `div-exp` `associate-*l/`
5×	`frac-times` `unswap-sqr`
4×	`associate-r` `pow-prod-down` `add-log-exp`
3×	`associate-*r/`
2×	`pow1/3` `*-commutative` `div-inv`

Counts

4 → 153

Calls

4 calls:

13.0ms	(* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y))
16.0ms	(* (/ (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (sqrt 2.0)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y)))
9.0ms	(cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))))
4.0ms	(cbrt (+ (exp (* -1 x)) (exp x)))

series653.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y))
146.0ms	(* (/ (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (sqrt 2.0)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y)))
205.0ms	(cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))))
130.0ms	(cbrt (+ (exp (* -1 x)) (exp x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	693	2780
1	3275	2371
2	5001	2327

prune549.0ms

Filtered

165 candidates to 118 candidates (71.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	165	4	169

Merged error: 0b

Counts

169 → 4

regimes47.0ms

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

sample2.4s

Algorithm: halfpoints

Details

sample123.0ms

simplify61.0ms

prune6.0ms

localize11.0ms

rewrite16.0ms

series86.0ms

simplify168.0ms

prune131.0ms

localize15.0ms

rewrite40.0ms

series148.0ms

simplify64.0ms

prune360.0ms

localize20.0ms

rewrite19.0ms

series266.0ms

simplify39.0ms

prune242.0ms

localize22.0ms

rewrite51.0ms

series653.0ms

simplify92.0ms

prune549.0ms

regimes47.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

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