Details

Time bar (total: 18.7s)

sample122.0ms

Algorithm
intervals
Results
52.0ms261×body80nan
46.0ms256×body80valid

simplify39.0ms

Counts
1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
1.0b
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.9b
(/ (acos (/ (- g) h)) 3)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
20×add-sqr-sqrt times-frac add-cube-cbrt
8×add-cbrt-cube add-exp-log
6×associate-/r* div-sub associate-/l* add-log-exp
4×pow1 associate-+l- insert-posit16
3×acos-asin acos-neg distribute-frac-neg
2×cos-diff cbrt-undiv clear-num frac-2neg div-exp div-inv distribute-lft-out
1×+-commutative cos-sum sum-log flip3-+ frac-add flip-+
Counts
4 → 86
Calls
4 calls:
Slowest
18.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
16.0ms
(/ (acos (/ (- g) h)) 3)
10.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
4.0ms
(/ PI 3/2)

series186.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
133.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
40.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
12.0ms
(/ (acos (/ (- g) h)) 3)
0.0ms
(/ PI 3/2)

simplify792.0ms

Counts
96 → 96

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

55.9b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
1.6b
(cos (/ PI 3))
1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l*
4×pow1 insert-posit16 add-log-exp
2×cbrt-undiv cos-sum clear-num frac-2neg div-exp div-inv
1×cos-diff sub-neg cos-PI/3
Counts
4 → 76
Calls
4 calls:
Slowest
17.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
8.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)
5.0ms
(cos (/ PI 3))

series178.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
178.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
0.0ms
(cos (/ PI 3))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)

simplify2.2s

Counts
82 → 82

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 3 expressions with local error:

1.0b
(+ (/ (acos (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2)))
1.0b
(cos (+ (/ (acos (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))
0.9b
(/ (acos (/ (- g) h)) 3)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
11×add-sqr-sqrt times-frac add-cube-cbrt
6×div-sub
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-+l-
3×acos-asin pow1 acos-neg associate-/r* distribute-frac-neg insert-posit16 associate-/l*
2×cos-diff distribute-lft-out
1×cbrt-undiv +-commutative cos-sum clear-num sum-log frac-2neg flip3-+ div-exp frac-add flip-+ div-inv
Counts
3 → 58
Calls
3 calls:
Slowest
40.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))
19.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2)))
6.0ms
(/ (acos (/ (- g) h)) 3)

series446.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
281.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))
151.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2)))
14.0ms
(/ (acos (/ (- g) h)) 3)

simplify2.5s

Counts
67 → 67

prune818.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

1.5b
(cos (- (/ (asin (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))
1.0b
(/ (/ PI 2) 3)
1.0b
(/ (/ PI 2) 3)
1.0b
(sin (- (/ (asin (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
88×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
26×associate-/l*
14×add-cbrt-cube add-exp-log
10×div-inv
6×cbrt-undiv associate-/r* div-exp
4×pow1 insert-posit16 add-log-exp
2×cos-sum clear-num sub-neg frac-2neg sin-sum associate-/l/
1×cos-diff sin-diff
Counts
4 → 164
Calls
4 calls:
Slowest
63.0ms
(sin (- (/ (asin (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))
42.0ms
(cos (- (/ (asin (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))
14.0ms
(/ (/ PI 2) 3)
14.0ms
(/ (/ PI 2) 3)

series703.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
354.0ms
(sin (- (/ (asin (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))
349.0ms
(cos (- (/ (asin (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))
0.0ms
(/ (/ PI 2) 3)
0.0ms
(/ (/ PI 2) 3)

simplify1.2s

Counts
172 → 172

prune3.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes326.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.8s7974×body80nan
1.4s8000×body80valid