Details

sample307.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
10.0ms	35×	body	640	valid
7.0ms	146×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	20×	body	320	valid
1.0ms	9×	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

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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 (cos v))
6.0ms	(* e (sin v))

series190.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
63.0ms	(* e (sin v))

simplify45.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (39.0ms)

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

prune187.0ms

Filtered

74 candidates to 54 candidates (73.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* (sin v) 1) (fma (cos v) e 1.0))
0.1b	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

4.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
8.0ms	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
91.0ms	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	332	505
1	1444	424
2	5001	420

prune162.0ms

Filtered

60 candidates to 43 candidates (71.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 123

Calls

3 calls:

7.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
3.0ms	(* e (cos v))
7.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
35.0ms	(* e (cos v))
88.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	530	1326
1	2377	1222
2	5001	1212

prune361.0ms

Filtered

132 candidates to 108 candidates (81.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sin v) 1) (fma (cos v) e 1.0))
0.1b	(* e (expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))))
0.2b	(expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0))))
0.3b	(log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`times-frac` `div-exp` `associate-r` `associate-l` `prod-exp` `associate-/r*`
2×	`cbrt-undiv` `cbrt-unprod`
1×	`log1p-udef` `expm1-log1p` `frac-2neg` `1-exp` `log1p-expm1` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `expm1-udef` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

4.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
3.0ms	(* e (expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))))
0.0ms	(expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0))))
0.0ms	(log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
149.0ms	(* e (expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))))
88.0ms	(expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0))))
81.0ms	(log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	379	767
1	1708	663
2	5001	655

prune228.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	11	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

623.0ms	1506×	body	1280	valid
305.0ms	1201×	body	640	valid
230.0ms	4347×	body	80	valid
107.0ms	8000×	pre	80	true
106.0ms	615×	body	320	valid
48.0ms	331×	body	160	valid