Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
12.0ms	257×	body	80	nan

simplify8.0ms

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

localize16.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (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)

rewrite42.0ms

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)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
22.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
4.0ms	(/ (* 2.0 PI) 3.0)

series151.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) 3.0)
35.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
105.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify106.0ms

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

prune229.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite53.0ms

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:

3.0ms	(/ (* 2.0 PI) 3.0)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
14.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
21.0ms	(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 (23.0ms)

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

prune292.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
0.0b	(+ (acos (/ (- g) h)) (* 2.0 PI))
0.9b	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
1.0b	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-*r/` `div-exp`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`associate-+l-` `associate-/l/`
1×	`acos-neg` `+-commutative` `distribute-rgt-in` `acos-asin` `frac-2neg` `distribute-lft-in` `times-frac` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

6.0ms	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
2.0ms	(+ (acos (/ (- g) h)) (* 2.0 PI))
10.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
2.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
28.0ms	(+ (acos (/ (- g) h)) (* 2.0 PI))
37.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
113.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	326	770
1	1674	615
2	5001	604

prune180.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))))
0.0b	(+ (acos (/ (- g) h)) (* 2.0 PI))
0.9b	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
1.0b	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`log-pow`
3×	`log-prod` `exp-prod` `associate-r` `associate-l`
2×	`associate-+l-` `flip3-+` `associate-*r/` `flip-+`
1×	`acos-neg` `+-commutative` `distribute-rgt-in` `acos-asin` `distribute-lft-in` `distribute-frac-neg` `rem-log-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

3.0ms	(log (exp (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))))
2.0ms	(+ (acos (/ (- g) h)) (* 2.0 PI))
7.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
2.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(log (exp (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))))
22.0ms	(+ (acos (/ (- g) h)) (* 2.0 PI))
38.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
118.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

simplify122.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	242	690
1	924	603
2	4301	601
3	5001	601

prune195.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes141.0ms

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	29	27
1	29	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

477.0ms	8000×	body	80	valid
393.0ms	8036×	body	80	nan