Details

Time bar (total: 23.2s)

sample170.0ms

Algorithm
intervals
Results
80.0ms266×body80nan
63.0ms256×body80valid

simplify75.0ms

Counts
1 → 1

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×div-sub fma-udef
1×acos-asin cbrt-undiv acos-neg cos-sum clear-num frac-2neg div-exp distribute-frac-neg div-inv
Counts
3 → 54
Calls
3 calls:
Slowest
6.0ms
(/ (acos (/ (- g) h)) 3)
3.0ms
(cos (fma (/ 2 3) PI (/ (acos (/ (- g) h)) 3)))
0.0ms
(fma (/ 2 3) PI (/ (acos (/ (- g) h)) 3))

series174.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
122.0ms
(cos (fma (/ 2 3) PI (/ (acos (/ (- g) h)) 3)))
40.0ms
(fma (/ 2 3) PI (/ (acos (/ (- g) h)) 3))
12.0ms
(/ (acos (/ (- g) h)) 3)

simplify2.3s

Counts
63 → 63

prune779.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize69.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (sqrt 3))
1.0b
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
1.0b
(cos (fma (/ 2 3) PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
0.0b
(/ (acos (/ (- g) h)) (sqrt 3))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
106×add-sqr-sqrt
94×times-frac
66×*-un-lft-identity
60×add-cube-cbrt
53×sqrt-prod
32×add-exp-log
22×associate-*r* associate-*l*
20×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×pow1 prod-exp
6×cbrt-undiv associate-/l*
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp pow-flip
2×clear-num frac-2neg div-sub
1×acos-asin frac-times acos-neg cos-sum sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative fma-udef inv-pow
Counts
4 → 189
Calls
4 calls:
Slowest
18.0ms
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
9.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
5.0ms
(/ 1 (sqrt 3))
2.0ms
(cos (fma (/ 2 3) PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))

series476.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
268.0ms
(cos (fma (/ 2 3) PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
136.0ms
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
73.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
0.0ms
(/ 1 (sqrt 3))

simplify2.5s

Counts
199 → 199

prune3.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))
1.0b
(/ (acos (- (/ g h))) 3)
0.0b
(fma PI (/ 2 3) (/ (acos (- (/ g h))) 3))
0.0b
(log (exp (cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u log-pow insert-posit16 log1p-expm1-u add-log-exp
3×log-prod exp-prod associate-/r* fma-udef associate-/l*
2×cos-sum div-sub
1×acos-asin cbrt-undiv acos-neg log-div clear-num frac-2neg exp-diff div-exp rem-log-exp div-inv
Counts
4 → 73
Calls
4 calls:
Slowest
9.0ms
(log (exp (cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))))
8.0ms
(/ (acos (- (/ g h))) 3)
5.0ms
(cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))
0.0ms
(fma PI (/ 2 3) (/ (acos (- (/ g h))) 3))

series383.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
166.0ms
(log (exp (cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))))
160.0ms
(cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))
39.0ms
(fma PI (/ 2 3) (/ (acos (- (/ g h))) 3))
18.0ms
(/ (acos (- (/ g h))) 3)

simplify2.7s

Counts
85 → 85

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cos-sum associate-/r* fma-udef associate-/l*
2×div-sub
1×acos-asin cbrt-undiv acos-neg clear-num frac-2neg div-exp div-inv
Counts
4 → 65
Calls
4 calls:
Slowest
4.0ms
(/ (acos (- (/ g h))) 3)
2.0ms
(cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))
2.0ms
(cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))
2.0ms
(cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))

series430.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
152.0ms
(cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))
137.0ms
(cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))
122.0ms
(cos (fma PI (/ 2 3) (/ (acos (- (/ g h))) 3)))
19.0ms
(/ (acos (- (/ g h))) 3)

simplify2.0s

Counts
77 → 77

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes485.0ms

Accuracy

0% (0.1b remaining)

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

bsearch9.0ms

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.1s7918×body80nan
1.9s8000×body80valid