Details

sample96.0ms

Algorithm: halfpoints

simplify59.0ms

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	131	7
4	223	7
5	466	7
6	1123	7
7	2244	7
8	5002	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))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

16.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
25.0ms	(+ (exp x) (exp (- x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	309	559
1	1415	500
2	5001	496

prune141.0ms

Filtered

71 candidates to 53 candidates (74.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (exp (- x)))
0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (exp (- x)))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))

series475.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (exp (- x)))
78.0ms	(cbrt (exp x))
79.0ms	(cbrt (exp x))
81.0ms	(cbrt (exp x))

simplify227.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (220.0ms)

Iter	Nodes	Cost
0	94	345
1	221	301
2	697	293
3	3672	255
4	5001	252

prune171.0ms

Filtered

61 candidates to 51 candidates (83.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	61	4	65

Merged error: 0b

Counts

65 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.3b	(log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

13.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
1.0ms	(expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
1.0ms	(log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))
104.0ms	(expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
108.0ms	(log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	379	831
1	1557	731
2	5001	726

prune233.0ms

Filtered

100 candidates to 76 candidates (76.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	100	4	104

Merged error: 0b

Counts

104 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.4b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
0.4b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
52×	`unpow-prod-down`
48×	`associate-l`
39×	`times-frac`
38×	`add-cube-cbrt`
31×	`cbrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
12×	`associate-*l/`
11×	`distribute-lft-out`
9×	`pow1` `associate-r`
6×	`add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `pow-unpow` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l*`
3×	`fma-def` `pow-exp` `associate-/r` `-commutative` `div-inv` `rem-cube-cbrt`
2×	`cbrt-undiv` `pow-pow` `flip3-+` `unpow3` `div-exp` `pow-prod-down` `rem-cbrt-cube` `flip-+` `associate-/l/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `frac-2neg` `pow1/3` `clear-num` `sum-log`

Counts

4 → 157

Calls

4 calls:

13.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
13.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
13.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

series234.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))
58.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
88.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

simplify103.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	624	1651
1	3180	1602
2	5002	1596

prune349.0ms

Filtered

169 candidates to 117 candidates (69.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	169	4	173

Merged error: 0b

Counts

173 → 4

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample1.8s

Algorithm: halfpoints