Details

sample303.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
12.0ms	147×	body	80	valid
12.0ms	38×	body	640	valid
5.0ms	256×	pre	80	true
4.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	6
1	20	5
2	23	5
3	24	5
4	24	5

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 65

Calls

3 calls:

6.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
3.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series184.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (sin v))
55.0ms	(* e (cos v))

simplify44.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	303	422
1	1415	368
2	5001	362

prune184.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))
4.4b	(log (exp (* e (cos v))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`times-frac` `associate-/r*` `log-pow` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
3×	`log-prod` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `frac-2neg` `flip3-+` `rem-log-exp` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 85

Calls

4 calls:

9.0ms	(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
3.0ms	(* e (sin v))
3.0ms	(* e (cos v))
1.0ms	(log (exp (* e (cos v))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
40.0ms	(* e (sin v))
36.0ms	(* e (cos v))
39.0ms	(log (exp (* e (cos v))))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	322	579
1	1436	493
2	5002	466

prune256.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (cos v) e 1.0) e)
0.3b	(/ (sin v) (/ (fma (cos v) e 1.0) e))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

2.0ms	(/ (fma (cos v) e 1.0) e)
6.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

series137.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (fma (cos v) e 1.0) e)
81.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify55.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	436	1039
1	1847	982
2	5001	979

prune305.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma e (cos v) 1.0) (* 1 (sin v)))
0.3b	(/ e (/ (fma e (cos v) 1.0) (* 1 (sin v))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
21×	`add-exp-log`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`prod-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `1-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 75

Calls

2 calls:

3.0ms	(/ (fma e (cos v) 1.0) (* 1 (sin v)))
6.0ms	(/ e (/ (fma e (cos v) 1.0) (* 1 (sin v))))

series162.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (fma e (cos v) 1.0) (* 1 (sin v)))
89.0ms	(/ e (/ (fma e (cos v) 1.0) (* 1 (sin v))))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	393	733
1	1623	652
2	5001	643

prune187.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.1b 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	14	8
1	14	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

740.0ms	1548×	body	1280	valid
389.0ms	1261×	body	640	valid
321.0ms	4281×	body	80	valid
157.0ms	8000×	pre	80	true
125.0ms	587×	body	320	valid
50.0ms	323×	body	160	valid