Details

sample102.0ms

Algorithm: halfpoints

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	131	7
4	223	7
5	466	7
6	1123	7
7	2244	7
8	5002	7

prune5.0ms

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))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-l`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`fma-def` `associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
24.0ms	(+ (exp x) (exp (- x)))

simplify166.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	286	487
1	1053	428
2	4913	426
3	5001	426

prune163.0ms

Filtered

60 candidates to 47 candidates (78.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	4	61

Merged error: 0.0b

Counts

61 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
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)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
60×	`cbrt-prod`
58×	`add-sqr-sqrt`
56×	`times-frac`
55×	`associate-l`
42×	`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` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `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 → 153

Calls

4 calls:

6.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
5.0ms	(+ (exp (* -1 x)) (exp x))
20.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
6.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

series152.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
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)

simplify61.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	487	1448
1	1824	1334
2	5001	1318

prune427.0ms

Filtered

165 candidates to 108 candidates (65.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	166	3	169

Merged error: 0.0b

Counts

169 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
58×	`associate-l`
55×	`sqrt-prod`
51×	`times-frac`
42×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
20×	`unpow-prod-down` `cube-prod`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out`
6×	`pow-unpow` `add-log-exp`
5×	`cube-mult` `unpow3` `sqr-pow`
4×	`cube-div` `expm1-log1p-u` `sqrt-div` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+`
2×	`pow-to-exp` `pow-pow` `pow-exp` `rem-cube-cbrt`
1×	`+-commutative` `frac-times` `associate-r/` `associate-r` `sum-log` `-commutative` `div-inv`

Counts

4 → 153

Calls

4 calls:

5.0ms	(+ (exp (* -1 x)) (exp x))
29.0ms	(* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (cos y)))
6.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
6.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

series239.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (exp (* -1 x)) (exp x))
119.0ms	(* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (cos y)))
50.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
49.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

simplify64.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	518	2078
1	1837	1857
2	5002	1826

prune609.0ms

Filtered

165 candidates to 108 candidates (65.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	165	3	168

Merged error: 0b

Counts

168 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (expm1 (log1p (pow (+ (exp (* -1 x)) (exp x)) 3))))
0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(pow (+ (exp (* -1 x)) (exp x)) 3)
1.0b	(expm1 (log1p (pow (+ (exp (* -1 x)) (exp x)) 3)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `fma-def` `distribute-lft-out`
2×	`cube-div` `flip3-+` `flip-+`
1×	`+-commutative` `cube-mult` `pow-to-exp` `expm1-log1p` `pow-pow` `pow1/3` `unpow3` `pow-exp` `sum-log` `expm1-udef` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt (expm1 (log1p (pow (+ (exp (* -1 x)) (exp x)) 3))))
5.0ms	(+ (exp (* -1 x)) (exp x))
6.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
1.0ms	(expm1 (log1p (pow (+ (exp (* -1 x)) (exp x)) 3)))

series633.0ms

Counts

4 → 12

Calls

4 calls:

359.0ms	(cbrt (expm1 (log1p (pow (+ (exp (* -1 x)) (exp x)) 3))))
26.0ms	(+ (exp (* -1 x)) (exp x))
46.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
202.0ms	(expm1 (log1p (pow (+ (exp (* -1 x)) (exp x)) 3)))

simplify43.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	290	595
1	1222	539
2	5002	529

prune272.0ms

Filtered

82 candidates to 58 candidates (70.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	82	3	85

Merged error: 0b

Counts

85 → 3

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	19
1	21	19

end0.0ms

sample2.4s

Algorithm: halfpoints