Details

Time bar (total: 31.7s)

sample101.0ms

Algorithm
intervals
Results
45.0ms256×body80valid
36.0ms237×body80nan

simplify93.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
93.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize42.0ms

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)))
1.0b
(/ (acos (/ (- g) h)) 3)

rewrite40.0ms

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
20.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
10.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
5.0ms
(/ (acos (/ (- g) h)) 3)
3.0ms
(/ PI 3/2)

series162.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
111.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
36.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
14.0ms
(/ (acos (/ (- g) h)) 3)
0.0ms
(/ PI 3/2)

simplify5.0s

Counts
123 → 96
Calls
123 calls:
Slowest
443.0ms
(* (* (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
374.0ms
(+ (pow (/ (acos (/ (- g) h)) 3) 3) (pow (/ PI 3/2) 3))
299.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
297.0ms
(+ (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (- (* (/ PI 3/2) (/ PI 3/2)) (* (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))
287.0ms
(- (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (* (/ PI 3/2) (/ PI 3/2)))

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

57.1b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b
(/ PI 3/2)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
24×*-un-lft-identity
21×times-frac
12×add-cube-cbrt
8×add-log-exp difference-of-squares
6×add-cbrt-cube add-exp-log
4×pow1 insert-posit16 distribute-lft-out--
3×associate-/r* sub-neg associate-/l*
2×associate--l- acos-asin cos-sum flip3-- diff-log div-sub frac-sub flip--
1×cos-diff cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 81
Calls
4 calls:
Slowest
22.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
18.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
16.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
7.0ms
(/ PI 3/2)

series263.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
165.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
54.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
44.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)

simplify4.6s

Counts
118 → 91
Calls
118 calls:
Slowest
299.0ms
(- (* (/ (acos (/ g h)) 3) (/ (acos (/ g h)) 3)) (* (/ PI 3/2) (/ PI 3/2)))
268.0ms
(* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (/ (sqrt 3) 2))) 2)
253.0ms
(- (* (/ (acos (/ g h)) 3) (/ (acos (/ g h)) 3)) (* (/ PI 3/2) (/ PI 3/2)))
210.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
208.0ms
(- (pow (/ (acos (/ g h)) 3) 3) (pow (/ PI 3/2) 3))

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize125.0ms

Local error

Found 4 expressions with local error:

57.1b
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
26×*-un-lft-identity
24×times-frac
20×add-cube-cbrt
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l* add-log-exp
4×pow1 insert-posit16 difference-of-squares
3×cos-sum
2×cbrt-undiv clear-num sub-neg frac-2neg div-sub div-exp div-inv distribute-lft-out--
1×associate--l- acos-asin cos-diff asin-acos flip3-- diff-log frac-sub associate-+l- flip-- associate--r-
Counts
4 → 89
Calls
4 calls:
Slowest
87.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))
15.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
7.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)

series218.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
153.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))
64.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)

simplify4.4s

Counts
128 → 97
Calls
128 calls:
Slowest
291.0ms
(- (* (/ (acos (/ g h)) 3) (/ (acos (/ g h)) 3)) (* (/ PI 3/2) (/ PI 3/2)))
200.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
189.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
173.0ms
(- (pow (/ (acos (/ g h)) 3) 3) (pow (/ PI 3/2) 3))
157.0ms
(* (* (- (/ (acos (/ g h)) 3) (/ PI 3/2)) (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))
1.0b
(cos (+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))
0.0b
(/ (acos (/ (- g) h)) (sqrt 3))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
29×times-frac
27×add-sqr-sqrt add-cube-cbrt
12×sqrt-prod
10×div-sub
9×associate-/r*
8×add-cbrt-cube add-exp-log
6×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 → 98
Calls
4 calls:
Slowest
69.0ms
(cos (+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))
53.0ms
(+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))
11.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
8.0ms
(/ PI 3/2)

series757.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
582.0ms
(cos (+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))
122.0ms
(+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))
53.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
0.0ms
(/ PI 3/2)

simplify5.7s

Counts
144 → 108
Calls
144 calls:
Slowest
334.0ms
(+ (* (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))) (- (* (/ PI 3/2) (/ PI 3/2)) (* (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))))
280.0ms
(+ (pow (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) 3) (pow (/ PI 3/2) 3))
247.0ms
(- (* (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))) (* (/ PI 3/2) (/ PI 3/2)))
220.0ms
(* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3)))
216.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.8s8000×body80valid
1.7s8113×body80nan