Details

Time bar (total: 16.6s)

sample121.0ms

Algorithm
intervals
Results
61.0ms256×body80valid
39.0ms267×body80nan

simplify41.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize38.0ms

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)

rewrite45.0ms

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))
25.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
4.0ms
(/ PI 3/2)

series176.0ms

Counts
4 → 10
Calls
4 calls:
13.0ms
(/ (acos (/ (- g) h)) 3)
37.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
126.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify943.0ms

Counts
96 → 96
Iterations
IterNodes
done2001
32001
2772
1323
0172

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 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)
56.2b
(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:
24.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
8.0ms
(/ PI 3/2)
4.0ms
(/ PI 3/2)
16.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series213.0ms

Counts
4 → 8
Calls
4 calls:
60.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
152.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify1.7s

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

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)
56.2b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite42.0ms

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:
14.0ms
(/ PI 3/2)
5.0ms
(/ PI 3/2)
4.0ms
(/ PI 3/2)
17.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series151.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
151.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify1.1s

Counts
101 → 101
Iterations
IterNodes
done2001
42001
3789
2302
1135
083

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

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:
10.0ms
(* (acos (/ (- g) h)) 3/2)
44.0ms
(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
7.0ms
(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
10.0ms
(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

series324.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (acos (/ (- g) h)) 3/2)
76.0ms
(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
62.0ms
(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
175.0ms
(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

simplify1.3s

Counts
81 → 81
Iterations
IterNodes
done2000
32000
2831
1275
0120

prune911.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes540.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.3s8000×body80valid
1.7s8167×body80nan