Details

Time bar (total: 32.1s)

sample150.0ms

Algorithm
intervals
Results
72.0ms274×body80nan
50.0ms256×body80valid

simplify48.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
48.0ms
(* 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

localize54.0ms

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)

rewrite72.0ms

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
32.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
21.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
10.0ms
(/ (acos (/ (- g) h)) 3)
7.0ms
(/ PI 3/2)

series177.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
108.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
50.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
19.0ms
(/ (acos (/ (- g) h)) 3)
0.0ms
(/ PI 3/2)

simplify5.0s

Counts
123 → 96
Calls
123 calls:
Slowest
425.0ms
(* (* (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
332.0ms
(+ (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (- (* (/ PI 3/2) (/ PI 3/2)) (* (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))
327.0ms
(+ (pow (/ (acos (/ (- g) h)) 3) 3) (pow (/ PI 3/2) 3))
275.0ms
(- (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (* (/ PI 3/2) (/ PI 3/2)))
262.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))

prune957.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

56.8b
(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
34.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
12.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
12.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
5.0ms
(/ PI 3/2)

series278.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
164.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
59.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
54.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)

simplify4.7s

Counts
118 → 91
Calls
118 calls:
Slowest
289.0ms
(* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (/ (sqrt 3) 2))) 2)
252.0ms
(- (* (/ (acos (/ g h)) 3) (/ (acos (/ g h)) 3)) (* (/ PI 3/2) (/ PI 3/2)))
222.0ms
(- (* (/ (acos (/ g h)) 3) (/ (acos (/ g h)) 3)) (* (/ PI 3/2) (/ PI 3/2)))
219.0ms
(- (pow (/ (acos (/ g h)) 3) 3) (pow (/ PI 3/2) 3))
218.0ms
(- (pow (/ (acos (/ g h)) 3) 3) (pow (/ PI 3/2) 3))

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

60.9b
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b
(/ PI 3/2)
1.0b
(/ (acos (/ g h)) 3)

rewrite48.0ms

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×div-sub
2×acos-asin cbrt-undiv clear-num frac-2neg div-exp div-inv distribute-lft-out--
1×associate--l- cos-diff sub-neg flip3-- diff-log frac-sub flip--
Counts
4 → 87
Calls
4 calls:
Slowest
23.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
14.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))
6.0ms
(/ (acos (/ g h)) 3)
4.0ms
(/ PI 3/2)

series262.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
192.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))
51.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
19.0ms
(/ (acos (/ g h)) 3)
0.0ms
(/ PI 3/2)

simplify5.6s

Counts
126 → 97
Calls
126 calls:
Slowest
531.0ms
(sqrt (cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2)))
323.0ms
(* (+ (* (cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2)) 1/2) (* (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (/ (sqrt 3) 2))) 2)
321.0ms
(/ (* (* (acos (/ g h)) (acos (/ g h))) (acos (/ g h))) (* (* 3 3) 3))
280.0ms
(- (* (/ (acos (/ g h)) 3) (/ (acos (/ g h)) 3)) (* (/ PI 3/2) (/ PI 3/2)))
236.0ms
(- (pow (/ (acos (/ g h)) 3) 3) (pow (/ PI 3/2) 3))

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

56.8b
(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)

rewrite124.0ms

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
84.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))
24.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
8.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)

series210.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
151.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))
58.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)

simplify4.8s

Counts
128 → 97
Calls
128 calls:
Slowest
335.0ms
(- (* (/ (acos (/ g h)) 3) (/ (acos (/ g h)) 3)) (* (/ PI 3/2) (/ PI 3/2)))
249.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
214.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
202.0ms
(+ (* (/ (acos (/ g h)) 3) (/ (acos (/ g h)) 3)) (+ (* (/ PI 3/2) (/ PI 3/2)) (* (/ (acos (/ g h)) 3) (/ PI 3/2))))
195.0ms
(- (pow (/ (acos (/ g h)) 3) 3) (pow (/ PI 3/2) 3))

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (0.0b remaining)

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

bsearch10.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.1s8000×body80valid
1.7s8078×body80nan