Details

Time bar (total: 27.9s)

sample133.0ms

Algorithm
intervals
Results
64.0ms256×body80valid
46.0ms219×body80nan

simplify25.0ms

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

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (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)

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
81×frac-add
62×*-un-lft-identity
60×associate-/r* associate-/l*
56×add-sqr-sqrt add-cube-cbrt
20×clear-num frac-2neg times-frac
8×add-cbrt-cube add-exp-log
6×div-sub add-log-exp
4×pow1 associate-+l- insert-posit16
3×acos-asin acos-neg distribute-frac-neg
2×cos-diff cbrt-undiv +-commutative cos-sum div-exp div-inv distribute-lft-out
1×sum-log flip3-+ flip-+
Counts
4 → 167
Calls
4 calls:
13.0ms
(/ (acos (/ (- g) h)) 3)
50.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
70.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
5.0ms
(/ PI 3/2)

series180.0ms

Counts
4 → 10
Calls
4 calls:
13.0ms
(/ (acos (/ (- g) h)) 3)
38.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
128.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify2.4s

Counts
177 → 177
Iterations
IterNodes
done5011
24088
11146
0395

prune876.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

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)))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
81×frac-sub
68×add-sqr-sqrt
62×*-un-lft-identity
60×associate-/r* associate-/l*
56×add-cube-cbrt
24×times-frac
20×clear-num frac-2neg
8×add-cbrt-cube add-exp-log
6×add-log-exp
4×pow1 insert-posit16 difference-of-squares
2×associate--l- acos-asin cos-diff cbrt-undiv cos-sum sub-neg div-sub div-exp div-inv distribute-lft-out--
1×flip3-- diff-log flip--
Counts
4 → 169
Calls
4 calls:
55.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
5.0ms
(/ PI 3/2)
5.0ms
(/ PI 3/2)
131.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series246.0ms

Counts
4 → 8
Calls
4 calls:
69.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
177.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify2.5s

Counts
177 → 177
Iterations
IterNodes
done5008
24238
11144
0370

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize115.0ms

Local error

Found 4 expressions with local error:

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

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
1107×times-frac
771×add-sqr-sqrt
626×cbrt-prod
587×*-un-lft-identity add-cube-cbrt
138×swap-sqr associate-*r* associate-*l*
92×unswap-sqr
41×add-cbrt-cube
33×associate-/l*
31×associate-/r*
30×div-inv
26×cbrt-undiv
23×*-commutative
18×add-exp-log
12×associate-/r/ cbrt-unprod
7×div-exp
4×pow1 insert-posit16 add-log-exp
3×clear-num frac-2neg
2×cos-diff cos-sum prod-exp
1×associate--l- acos-asin sub-neg pow1/3 div-sub
Counts
4 → 737
Calls
4 calls:
1.0ms
(cbrt PI)
9.0ms
(/ PI 3/2)
93.0ms
(/ (* (cbrt PI) (cbrt PI)) (/ 3/2 (cbrt PI)))
97.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series160.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt PI)
0.0ms
(/ PI 3/2)
0.0ms
(/ (* (cbrt PI) (cbrt PI)) (/ 3/2 (cbrt PI)))
160.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify3.4s

Counts
743 → 743
Iterations
IterNodes
done5000
13131
0914

prune5.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite680.0ms

Algorithm
rewrite-expression-head
Rules
387×frac-add
360×associate-/l*
281×*-un-lft-identity
275×add-sqr-sqrt add-cube-cbrt
246×associate-/r*
191×times-frac
147×sqrt-prod
108×associate-/l/
63×clear-num frac-2neg
11×div-inv
10×div-sub
8×add-cbrt-cube add-exp-log
6×add-log-exp
4×pow1 associate-+l- insert-posit16
3×acos-asin acos-neg distribute-frac-neg
2×cos-diff cbrt-undiv +-commutative cos-sum div-exp distribute-lft-out
1×sum-log flip3-+ flip-+
Counts
4 → 485
Calls
4 calls:
9.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
237.0ms
(+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))
396.0ms
(cos (+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))
6.0ms
(/ PI 3/2)

series537.0ms

Counts
4 → 10
Calls
4 calls:
52.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
158.0ms
(+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))
326.0ms
(cos (+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify2.7s

Counts
495 → 495
Iterations
IterNodes
done5005
14197
01168

prune2.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes264.0ms

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

sample4.0s

Algorithm
intervals
Results
1.9s7901×body80nan
1.7s8000×body80valid