Details

Time bar (total: 13.8s)

sample139.0ms

Algorithm
intervals
Results
70.0ms268×body80nan
48.0ms256×body80valid

simplify39.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

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:
20.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
9.0ms
(/ (acos (/ (- g) h)) 3)
44.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
7.0ms
(/ PI 3/2)

series192.0ms

Counts
4 → 10
Calls
4 calls:
42.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
12.0ms
(/ (acos (/ (- g) h)) 3)
137.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify1.1s

Counts
96 → 96
Iterations
IterNodes
done2000
32000
2757
1323
0172

prune550.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

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)))

rewrite67.0ms

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))
8.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)
33.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series192.0ms

Counts
4 → 8
Calls
4 calls:
57.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
135.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify1.7s

Counts
96 → 96
Iterations
IterNodes
done2026
42026
31828
2588
1242
0129

prune670.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
0.0b
(* (acos (/ (- g) h)) 3/2)
1.0b
(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
1.0b
(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

rewrite64.0ms

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×flip3-+ flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 69
Calls
4 calls:
28.0ms
(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
8.0ms
(* (acos (/ (- g) h)) 3/2)
9.0ms
(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
18.0ms
(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

series278.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
12.0ms
(* (acos (/ (- g) h)) 3/2)
35.0ms
(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
183.0ms
(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

simplify1.0s

Counts
81 → 81
Iterations
IterNodes
done2008
32008
2828
1275
0120

prune391.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
11×add-sqr-sqrt times-frac add-cube-cbrt
6×div-sub
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-+l-
3×acos-asin pow1 acos-neg associate-/r* distribute-frac-neg insert-posit16 associate-/l*
2×cos-diff distribute-lft-out
1×cbrt-undiv +-commutative cos-sum clear-num sum-log frac-2neg flip3-+ div-exp frac-add flip-+ div-inv
Counts
3 → 58
Calls
3 calls:
19.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2)))
9.0ms
(/ (acos (/ (- g) h)) 3)
56.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))

series393.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2)))
13.0ms
(/ (acos (/ (- g) h)) 3)
261.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))

simplify1.2s

Counts
67 → 67
Iterations
IterNodes
done2003
42003
31725
2599
1252
0130

prune382.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes309.0ms

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

sample4.6s

Algorithm
intervals
Results
2.4s8084×body80nan
1.8s8000×body80valid