Details

sample46.0ms

Algorithm

intervals

Results

16.0ms	294×	body	80	nan
15.0ms	256×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	28	9
3	29	9
4	29	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`div-sub` `associate-/r*` `add-log-exp`
4×	`pow1` `associate-+r-` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `acos-neg` `acos-asin` `distribute-frac-neg` `div-exp`
2×	`cos-diff` `frac-2neg` `clear-num`
1×	`+-commutative` `cos-sum` `distribute-rgt-out` `flip3-+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

3.0ms	(/ (acos (/ (- g) h)) 3.0)
22.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
13.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
4.0ms	(/ (* 2.0 PI) 3.0)

series148.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) 3.0)
102.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
35.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify107.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	318	666
1	1047	614
2	4395	614
3	5002	614

prune227.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`div-inv`
4×	`pow1`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-lft1-in` `flip3-+` `div-exp` `frac-add` `sum-log` `flip-+` `distribute-lft-out`
1×	`frac-2neg` `sin-sum` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 67

Calls

4 calls:

4.0ms	(/ (* 2.0 PI) 3.0)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
22.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	234	454
1	822	413
2	3837	405
3	5002	405

prune289.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
1.0b	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
1.0b	(/ 1 (sqrt 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
79×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt`
41×	`sqrt-prod`
35×	`add-exp-log`
23×	`add-cbrt-cube`
22×	`associate-r` `associate-l`
15×	`unswap-sqr`
12×	`div-exp`
9×	`prod-exp` `associate-/r*`
8×	`pow1`
7×	`cbrt-undiv`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`div-inv` `associate-/l*`
3×	`rec-exp` `pow-flip` `1-exp` `frac-add`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`+-commutative` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 163

Calls

4 calls:

26.0ms	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
7.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
3.0ms	(/ 1 (sqrt 3.0))
3.0ms	(/ (* 2.0 PI) 3.0)

series194.0ms

Counts

4 → 8

Calls

4 calls:

84.0ms	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
109.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
0.0ms	(/ 1 (sqrt 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify79.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	635	1568
1	3365	1379
2	5001	1291

prune353.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`pow1`
3×	`pow-unpow` `times-frac` `associate-/r*` `div-inv`
2×	`cbrt-undiv` `cube-mult` `associate-+r-` `unpow3` `div-sub` `div-exp` `sqr-pow`
1×	`acos-neg` `+-commutative` `acos-asin` `pow-to-exp` `distribute-rgt-out` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `distribute-frac-neg` `frac-add` `pow-exp` `prod-exp` `clear-num` `sum-log` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate-/l*` `rem-cube-cbrt`

Counts

4 → 81

Calls

4 calls:

2.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
2.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
4.0ms	(/ (* 2.0 PI) 3.0)

series296.0ms

Counts

4 → 10

Calls

4 calls:

155.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
37.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
103.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	313	917
1	1232	840
2	5001	834

prune203.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes176.0ms

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	24	29
1	24	29

end0.0ms

sample1.1s

Algorithm

intervals

Results

469.0ms	8000×	body	80	valid
374.0ms	7988×	body	80	nan