Details

Time bar (total: 18.4s)

sample165.0ms

Algorithm
intervals
Results
69.0ms256×body80valid
67.0ms227×body80nan

simplify47.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize52.0ms

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)

rewrite50.0ms

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)
11.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
28.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
4.0ms
(/ PI 3/2)

series220.0ms

Counts
4 → 10
Calls
4 calls:
15.0ms
(/ (acos (/ (- g) h)) 3)
43.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
162.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify2.0s

Counts
96 → 96
Iterations
IterNodes
done5003
32391
2772
1323
0172

prune574.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

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)
56.0b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite76.0ms

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:
29.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
7.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)
30.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series205.0ms

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)
145.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify2.0s

Counts
96 → 96
Iterations
IterNodes
done5000
31828
2588
1242
0129

prune779.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
35×times-frac
34×add-sqr-sqrt
32×add-cube-cbrt
12×add-cbrt-cube add-exp-log
11×pow1
10×distribute-lft-out
9×frac-times associate-/r* associate-/l*
8×flip3-+ frac-add flip-+
7×swap-sqr
5×associate-*r* associate-*l*
4×insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp associate-*l/ associate-*r/ div-inv
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 135
Calls
4 calls:
104.0ms
(* (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
4.0ms
(/ PI 3/2)
4.0ms
(/ PI 3/2)
4.0ms
(/ PI 3/2)

series83.0ms

Counts
4 → 6
Calls
4 calls:
82.0ms
(* (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)

simplify2.1s

Counts
141 → 141
Iterations
IterNodes
done5004
21696
1420
0138

prune843.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-prod
81×times-frac
68×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×associate-/r* associate-/l*
10×add-cbrt-cube add-exp-log
4×pow1 insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
2×sqrt-undiv
1×cos-sum
Counts
4 → 161
Calls
4 calls:
43.0ms
(cos (+ (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3))) (/ PI 3/2)))
11.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
11.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
8.0ms
(/ PI 3/2)

series503.0ms

Counts
4 → 10
Calls
4 calls:
316.0ms
(cos (+ (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3))) (/ PI 3/2)))
99.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
87.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
0.0ms
(/ PI 3/2)

simplify2.5s

Counts
171 → 171
Iterations
IterNodes
done5049
43798
31233
2513
1270
0169

prune986.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes510.0ms

Accuracy

0% (0.1b 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

sample4.4s

Algorithm
intervals
Results
2.1s8000×body80valid
1.8s8238×body80nan