Details

Time bar (total: 18.4s)

sample145.0ms

Algorithm
intervals
Results
64.0ms256×body80valid
56.0ms219×body80nan

simplify48.0ms

Counts
1 → 1
Iterations
IterNodes
done28
428
327
224
121
014

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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:
5.0ms
(/ (acos (/ (- g) h)) 3)
11.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
33.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
5.0ms
(/ PI 3/2)

series237.0ms

Counts
4 → 10
Calls
4 calls:
20.0ms
(/ (acos (/ (- g) h)) 3)
58.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
158.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify2.3s

Counts
96 → 96
Iterations
IterNodes
done5003
32391
2772
1323
0172

prune562.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)
56.2b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite43.0ms

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
2×cbrt-undiv cos-sum clear-num sub-neg frac-2neg div-exp div-inv distribute-lft-out--
1×associate--l- acos-asin cos-diff flip3-- diff-log div-sub frac-sub flip--
Counts
4 → 88
Calls
4 calls:
17.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
4.0ms
(/ PI 3/2)
4.0ms
(/ PI 3/2)
17.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series230.0ms

Counts
4 → 8
Calls
4 calls:
58.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
172.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify2.0s

Counts
96 → 96
Iterations
IterNodes
done5000
31828
2588
1242
0129

prune770.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt PI)
1.0b
(/ (* (cbrt PI) (cbrt PI)) (/ 3/2 (cbrt PI)))
1.0b
(/ PI 3/2)
56.2b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
67×times-frac
39×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
25×associate-/r*
21×cbrt-prod
18×add-exp-log
12×add-cbrt-cube
7×cbrt-undiv div-exp
4×pow1 insert-posit16 div-inv associate-/l* add-log-exp
2×cos-sum clear-num frac-2neg prod-exp cbrt-unprod
1×cos-diff sub-neg pow1/3 associate-/r/
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt PI)
16.0ms
(/ (* (cbrt PI) (cbrt PI)) (/ 3/2 (cbrt PI)))
5.0ms
(/ PI 3/2)
18.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series186.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt PI)
0.0ms
(/ (* (cbrt PI) (cbrt PI)) (/ 3/2 (cbrt PI)))
0.0ms
(/ PI 3/2)
186.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify1.8s

Counts
122 → 122
Iterations
IterNodes
done5000
21507
1505
0208

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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:
12.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
35.0ms
(+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))
64.0ms
(cos (+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))
4.0ms
(/ PI 3/2)

series570.0ms

Counts
4 → 10
Calls
4 calls:
83.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
157.0ms
(+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))
330.0ms
(cos (+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify2.7s

Counts
108 → 108
Iterations
IterNodes
done5002
32984
2923
1362
0196

prune555.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes375.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done24
124
020

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.1s7901×body80nan
1.9s8000×body80valid