Details

sample326.0ms

Algorithm

intervals

Results

32.0ms	52×	body	1280	valid
13.0ms	173×	body	80	valid
12.0ms	33×	body	640	valid
6.0ms	26×	body	320	valid
2.0ms	14×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	7
1	33	6
2	43	6
3	54	6
4	60	6
5	62	6
6	62	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
0.2b	(/ 1.0 (tan B))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`tan-quot` `associate-/r/` `fma-udef`

Counts

3 → 69

Calls

3 calls:

2.0ms	(/ 1.0 (sin B))
0.0ms	(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
5.0ms	(/ 1.0 (tan B))

series174.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ 1.0 (sin B))
101.0ms	(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
55.0ms	(/ 1.0 (tan B))

simplify58.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	246	416
1	694	382
2	2127	382
3	5002	377

prune237.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(/ 1.0 (sin B))
0.1b	(fma (- x) (* (/ 1.0 (sin B)) (cos B)) (/ 1.0 (sin B)))
0.2b	(* (/ 1.0 (sin B)) (cos B))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

2.0ms	(/ 1.0 (sin B))
2.0ms	(/ 1.0 (sin B))
0.0ms	(fma (- x) (* (/ 1.0 (sin B)) (cos B)) (/ 1.0 (sin B)))
9.0ms	(* (/ 1.0 (sin B)) (cos B))

series169.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ 1.0 (sin B))
20.0ms	(/ 1.0 (sin B))
95.0ms	(fma (- x) (* (/ 1.0 (sin B)) (cos B)) (/ 1.0 (sin B)))
35.0ms	(* (/ 1.0 (sin B)) (cos B))

simplify119.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	279	660
1	1109	594
2	4890	592
3	5001	591

prune329.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(* (cos B) (- x))
0.2b	(* (/ 1.0 (sin B)) (+ (* (cos B) (- x)) 1))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 97

Calls

3 calls:

2.0ms	(/ 1.0 (sin B))
6.0ms	(* (cos B) (- x))
20.0ms	(* (/ 1.0 (sin B)) (+ (* (cos B) (- x)) 1))

series130.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ 1.0 (sin B))
42.0ms	(* (cos B) (- x))
70.0ms	(* (/ 1.0 (sin B)) (+ (* (cos B) (- x)) 1))

simplify83.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	525	680
1	3236	614
2	5001	611

prune284.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (cos B) (- x) 1)
0.2b	(/ (fma (cos B) (- x) 1) (sin B))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (cos B) (- x) 1)
2.0ms	(/ (fma (cos B) (- x) 1) (sin B))

series111.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(fma (cos B) (- x) 1)
66.0ms	(/ (fma (cos B) (- x) 1) (sin B))

simplify54.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	137	347
1	370	317
2	1642	311
3	5002	311

prune114.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	1776×	body	1280	valid
479.0ms	1382×	body	640	valid
399.0ms	4874×	body	80	valid
173.0ms	722×	body	320	valid
75.0ms	358×	body	160	valid