Details

Time bar (total: 19.5s)

sample90.0ms

Algorithm
intervals
Results
39.0ms256×body80nan
33.0ms256×body80valid

simplify29.0ms

Counts
1 → 1
Iterations
IterNodes
528
428
327
224
121
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (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)

rewrite36.0ms

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)
10.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
16.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
4.0ms
(/ PI 3/2)

series195.0ms

Counts
4 → 10
Calls
4 calls:
14.0ms
(/ (acos (/ (- g) h)) 3)
52.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
129.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify1.5s

Counts
96 → 96
Iterations
IterNodes
42778
31289
2624
1317
0172

prune772.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

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)
56.9b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite53.0ms

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))
7.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)
20.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series213.0ms

Counts
4 → 8
Calls
4 calls:
55.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
158.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify2.3s

Counts
96 → 96
Iterations
IterNodes
54181
41986
3877
2447
1235
0129

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)
56.9b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
4×pow1 insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
2×cos-sum
1×cos-diff sub-neg
Counts
4 → 95
Calls
4 calls:
4.0ms
(/ PI 3/2)
4.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)
35.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series129.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
129.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify2.5s

Counts
101 → 101
Iterations
IterNodes
83565
71857
61402
51209
4798
3371
2225
1128
083

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-prod
81×times-frac
68×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×associate-/r* associate-/l*
10×add-cbrt-cube add-exp-log
4×pow1 insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
2×sqrt-undiv
1×cos-sum
Counts
4 → 161
Calls
4 calls:
8.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
5.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
36.0ms
(cos (+ (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3))) (/ PI 3/2)))
4.0ms
(/ PI 3/2)

series421.0ms

Counts
4 → 10
Calls
4 calls:
78.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
72.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
271.0ms
(cos (+ (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3))) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify2.9s

Counts
171 → 171
Iterations
IterNodes
42704
3910
2439
1261
0169

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes354.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
229
129
024

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.1s8000×body80valid
1.3s7881×body80nan