Details

Time bar (total: 18.4s)

sample93.0ms

Algorithm
intervals
Results
38.0ms256×body80valid
30.0ms236×body80nan

simplify72.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

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:
11.0ms
(/ (acos (/ (- g) h)) 3)
70.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
26.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
4.0ms
(/ PI 3/2)

series204.0ms

Counts
4 → 10
Calls
4 calls:
13.0ms
(/ (acos (/ (- g) h)) 3)
133.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
58.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)

simplify2.1s

Counts
96 → 96
Iterations
IterNodes
done5011
32206
2757
1323
0172

prune461.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
56.5b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite125.0ms

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:
9.0ms
(/ PI 3/2)
24.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
35.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
54.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series243.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(/ PI 3/2)
47.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
56.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
140.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify1.9s

Counts
91 → 91
Iterations
IterNodes
done5003
31837
2585
1242
0129

prune680.0ms

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
(/ (acos (/ g h)) 3)
1.0b
(/ PI 3/2)
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
60.7b
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))

rewrite66.0ms

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:
7.0ms
(/ (acos (/ g h)) 3)
8.0ms
(/ PI 3/2)
39.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
9.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))

series256.0ms

Counts
4 → 10
Calls
4 calls:
21.0ms
(/ (acos (/ g h)) 3)
0.0ms
(/ PI 3/2)
58.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
176.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))

simplify2.3s

Counts
97 → 97
Iterations
IterNodes
done5002
33208
2969
1325
0174

prune705.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(/ (/ PI 2) 3)
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
56.5b
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
66×add-sqr-sqrt
60×*-un-lft-identity
54×add-cube-cbrt
16×associate-/l*
11×add-cbrt-cube add-exp-log
6×associate-/r* div-inv add-log-exp
4×pow1 cbrt-undiv div-exp insert-posit16 difference-of-squares
3×cos-sum
2×clear-num sub-neg frac-2neg div-sub distribute-lft-out--
1×associate--l- acos-asin cos-diff asin-acos flip3-- diff-log frac-sub associate-+l- flip-- associate--r- associate-/l/
Counts
4 → 132
Calls
4 calls:
4.0ms
(/ PI 3/2)
11.0ms
(/ (/ PI 2) 3)
23.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
197.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

series212.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(/ PI 3/2)
0.0ms
(/ (/ PI 2) 3)
49.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
163.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

simplify3.5s

Counts
140 → 140
Iterations
IterNodes
done5011
34745
21444
1574
0271

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes443.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done31
131
025

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.5s8063×body80nan
1.3s8000×body80valid