Details

Time bar (total: 17.0s)

sample118.0ms

Algorithm
intervals
Results
59.0ms256×body80valid
34.0ms244×body80nan

simplify27.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (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)

rewrite76.0ms

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:
7.0ms
(/ (acos (/ (- g) h)) 3)
31.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
30.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
7.0ms
(/ PI 3/2)

series206.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(/ (acos (/ (- g) h)) 3)
149.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
40.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)

simplify1.5s

Counts
96 → 96
Iterations
IterNodes
42730
31285
2623
1319
0172

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (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)

rewrite48.0ms

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:
7.0ms
(/ (acos (/ (- g) h)) 3)
20.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
16.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
4.0ms
(/ PI 3/2)

series559.0ms

Counts
4 → 10
Calls
4 calls:
22.0ms
(/ (acos (/ (- g) h)) 3)
484.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
53.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)

simplify1.6s

Counts
96 → 96
Iterations
IterNodes
42771
31280
2623
1317
0171

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

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

rewrite74.0ms

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:
18.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
7.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)
40.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series230.0ms

Counts
4 → 8
Calls
4 calls:
72.0ms
(- (/ (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)))

simplify993.0ms

Counts
96 → 96
Iterations
IterNodes
42137
3944
2463
1241
0131

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* 1/3 (acos (/ g h))) (* 2/3 PI))
1.0b
(* 2/3 PI)
1.0b
(/ PI 3/2)
60.6b
(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log
6×pow1 add-log-exp
4×insert-posit16
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×cos-sum sub-neg
1×cos-diff cbrt-undiv clear-num frac-2neg flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- unswap-sqr
Counts
4 → 71
Calls
4 calls:
7.0ms
(- (* 1/3 (acos (/ g h))) (* 2/3 PI))
5.0ms
(* 2/3 PI)
4.0ms
(/ PI 3/2)
25.0ms
(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

series204.0ms

Counts
4 → 8
Calls
4 calls:
44.0ms
(- (* 1/3 (acos (/ g h))) (* 2/3 PI))
0.0ms
(* 2/3 PI)
0.0ms
(/ PI 3/2)
160.0ms
(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

simplify1.2s

Counts
79 → 79
Iterations
IterNodes
42226
31028
2474
1237
0120

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes501.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify28.0ms

Iterations
IterNodes
254
154
040

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.0s8000×body80valid
1.6s8028×body80nan