Details

Time bar (total: 17.7s)

sample79.0ms

Algorithm
intervals
Results
34.0ms256×body80valid
24.0ms260×body80nan

simplify36.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize40.0ms

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)

rewrite53.0ms

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:
9.0ms
(/ (acos (/ (- g) h)) 3)
25.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
11.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
5.0ms
(/ PI 3/2)

series206.0ms

Counts
4 → 10
Calls
4 calls:
13.0ms
(/ (acos (/ (- g) h)) 3)
137.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
55.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)

simplify2.1s

Counts
96 → 96
Iterations
IterNodes
done5011
32206
2757
1323
0172

prune587.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

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))
56.6b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite65.0ms

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:
4.0ms
(/ PI 3/2)
12.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
12.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
36.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series326.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(/ PI 3/2)
71.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
80.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
175.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify1.9s

Counts
91 → 91
Iterations
IterNodes
done5003
31837
2585
1242
0129

prune605.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (acos (/ g h)) 3)
1.0b
(/ PI 3/2)
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
60.6b
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))

rewrite46.0ms

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:
6.0ms
(/ (acos (/ g h)) 3)
12.0ms
(/ PI 3/2)
12.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
14.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))

series249.0ms

Counts
4 → 10
Calls
4 calls:
12.0ms
(/ (acos (/ g h)) 3)
0.0ms
(/ PI 3/2)
63.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
173.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))

simplify2.8s

Counts
97 → 97
Iterations
IterNodes
done5002
33208
2969
1325
0174

prune837.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
12×sqrt-prod
10×add-exp-log
9×associate-/r*
8×add-cbrt-cube
6×pow1 associate-/l* add-log-exp
4×insert-posit16
3×div-exp frac-add pow-flip
2×cbrt-undiv clear-num frac-2neg div-inv
1×frac-times +-commutative rec-exp cos-sum sum-log sqrt-pow1 flip3-+ pow1/2 1-exp associate-*l/ associate-*r/ flip-+ inv-pow
Counts
4 → 98
Calls
4 calls:
47.0ms
(cos (+ (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ PI 3/2)))
14.0ms
(+ (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ PI 3/2))
9.0ms
(/ PI 3/2)
11.0ms
(/ 1 (sqrt 3))

series489.0ms

Counts
4 → 8
Calls
4 calls:
318.0ms
(cos (+ (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ PI 3/2)))
170.0ms
(+ (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ 1 (sqrt 3))

simplify2.8s

Counts
106 → 106
Iterations
IterNodes
done5020
32766
2894
1350
0180

prune581.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes301.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done31
131
025

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.9s8000×body80valid
1.0s7843×body80nan