Details

Time bar (total: 29.2s)

sample115.0ms

Algorithm
intervals
Results
51.0ms256×body80valid
33.0ms284×body80nan

simplify64.0ms

Counts
1 → 1
Iterations
IterNodes
done29
529
428
326
223
121
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize83.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

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)
48.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
74.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
21.0ms
(/ (* 2.0 PI) 3.0)

series268.0ms

Counts
4 → 10
Calls
4 calls:
21.0ms
(/ (acos (/ (- g) h)) 3.0)
57.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
190.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify5.2s

Counts
86 → 86
Iterations
IterNodes
done5523
33940
2965
1332
0159

prune719.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize93.0ms

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)))

rewrite169.0ms

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:
17.0ms
(/ (* 2.0 PI) 3.0)
46.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
37.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
65.0ms
(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)))

simplify4.4s

Counts
71 → 71
Iterations
IterNodes
done5009
33283
2755
1242
0103

prune883.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-prod
75×times-frac
62×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
4×pow1 cbrt-undiv div-exp add-log-exp
3×frac-2neg clear-num div-inv
2×sqrt-undiv
1×cos-sum prod-exp cbrt-unprod
Counts
4 → 151
Calls
4 calls:
51.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
17.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
24.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
20.0ms
(/ (* 2.0 PI) 3.0)

series666.0ms

Counts
4 → 10
Calls
4 calls:
423.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
119.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
124.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify4.2s

Counts
161 → 161
Iterations
IterNodes
done5021
33094
2736
1295
0162

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-exp-log
19×add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
16×cbrt-prod
11×pow1
9×times-frac associate-/r*
6×cbrt-undiv pow1/3 swap-sqr div-exp associate-*r* associate-*l*
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×frac-2neg clear-num div-inv associate-/l*
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative
Counts
4 → 103
Calls
4 calls:
34.0ms
(* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
21.0ms
(/ (* 2.0 PI) 3.0)
28.0ms
(/ (* 2.0 PI) 3.0)
19.0ms
(/ (* 2.0 PI) 3.0)

series432.0ms

Counts
4 → 6
Calls
4 calls:
432.0ms
(* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)

simplify4.3s

Counts
109 → 109
Iterations
IterNodes
done5001
32574
2677
1234
0108

prune973.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes697.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.7s8000×body80valid
1.7s8003×body80nan