Details

sample73.0ms

Algorithm

intervals

Results

27.0ms	256×	body	80	valid
21.0ms	237×	body	80	nan

simplify77.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	21	16
2	25	16
3	28	16
4	29	16
done	29	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (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)

rewrite132.0ms

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:

12.0ms	(/ (acos (/ (- g) h)) 3.0)
58.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
38.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
19.0ms	(/ (* 2.0 PI) 3.0)

series224.0ms

Counts

4 → 10

Calls

4 calls:

22.0ms	(/ (acos (/ (- g) h)) 3.0)
144.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
57.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.9s

Counts

86 → 86

Iterations

Useful iterations: 2 (278.0ms)

Iter	Nodes	Cost
0	159	1223
1	318	1165
2	839	1075
3	3009	1075
done	5001	1075

prune341.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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)))

rewrite109.0ms

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:

10.0ms	(/ (* 2.0 PI) 3.0)
30.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
23.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
44.0ms	(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)))

simplify2.6s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	103	943
1	232	900
2	664	820
3	2683	804
done	5000	804

prune470.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 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)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`add-exp-log`
12×	`sqrt-prod`
11×	`add-cbrt-cube`
9×	`associate-/r*`
6×	`pow1` `add-log-exp`
4×	`div-exp` `associate-/l*`
3×	`cbrt-undiv` `pow-flip` `frac-add`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`+-commutative` `frac-times` `rec-exp` `cos-sum` `sqrt-pow1` `flip3-+` `pow1/2` `1-exp` `associate-r/` `associate-l/` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 88

Calls

4 calls:

56.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
28.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
10.0ms	(/ 1 (sqrt 3.0))
10.0ms	(/ (* 2.0 PI) 3.0)

series456.0ms

Counts

4 → 8

Calls

4 calls:

297.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
159.0ms	(+ (/ (* 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)

simplify1.6s

Counts

96 → 96

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	173	1349
1	355	1119
2	1017	921
done	5000	919

prune378.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

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)

rewrite69.0ms

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:

4.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
40.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
6.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
16.0ms	(/ (* 2.0 PI) 3.0)

series451.0ms

Counts

4 → 10

Calls

4 calls:

235.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
58.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
157.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify4.0s

Counts

91 → 91

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	138	1816
1	314	1612
2	946	1406
3	4679	1398
done	5000	1398

prune292.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes364.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	35
1	25	35
done	25	35

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.6s	7964×	body	80	nan
1.1s	8000×	body	80	valid