Details

Time bar (total: 16.8s)

sample119.0ms

Algorithm
intervals
Results
51.0ms249×body80nan
46.0ms256×body80valid

simplify61.0ms

Calls
1 calls:
Slowest
61.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize30.0ms

Local error

Found 4 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))
0.0b
(acos (/ (- g) h))

rewrite9.0ms

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×associate-/r* associate-/l*
2×acos-asin acos-neg div-sub distribute-frac-neg fma-udef
1×cbrt-undiv cos-sum clear-num frac-2neg div-exp div-inv
Calls
4 calls:
Slowest
5.0ms
(/ (acos (/ (- g) h)) 3)
2.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0ms
(acos (/ (- g) h))
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series177.0ms

Calls
4 calls:
Slowest
132.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
31.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
11.0ms
(/ (acos (/ (- g) h)) 3)
2.0ms
(acos (/ (- g) h))

simplify1.4s

Calls
39 calls:
Slowest
243.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
74.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
73.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
67.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
64.0ms
(/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt 3) (cbrt 3)))

prune856.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize28.0ms

Local error

Found 4 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))
0.0b
(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

rewrite16.0ms

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 distribute-frac-neg div-inv
Calls
4 calls:
Slowest
7.0ms
(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
5.0ms
(/ (acos (/ (- g) h)) 3)
2.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series321.0ms

Calls
4 calls:
Slowest
156.0ms
(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
119.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
33.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
13.0ms
(/ (acos (/ (- g) h)) 3)

simplify2.0s

Calls
47 calls:
Slowest
280.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
205.0ms
(log (exp (* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))))
91.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
91.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
87.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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 distribute-frac-neg div-inv
Calls
4 calls:
Slowest
10.0ms
(/ (acos (/ (- g) h)) 3)
5.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
4.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
4.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series402.0ms

Calls
4 calls:
Slowest
150.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
128.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
108.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
16.0ms
(/ (acos (/ (- g) h)) 3)

simplify1.9s

Calls
41 calls:
Slowest
368.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
205.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
89.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
80.0ms
(/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt 3) (cbrt 3)))
77.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 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))
0.0b
(acos (/ (- g) h))

rewrite9.0ms

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×associate-/r* associate-/l*
2×acos-asin acos-neg div-sub distribute-frac-neg fma-udef
1×cbrt-undiv cos-sum clear-num frac-2neg div-exp div-inv
Calls
4 calls:
Slowest
5.0ms
(/ (acos (/ (- g) h)) 3)
2.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0ms
(acos (/ (- g) h))
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series199.0ms

Calls
4 calls:
Slowest
139.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
38.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
19.0ms
(/ (acos (/ (- g) h)) 3)
2.0ms
(acos (/ (- g) h))

simplify1.3s

Calls
39 calls:
Slowest
234.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
84.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
84.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
60.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
59.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))

prune819.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes336.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.2s8000×body80valid
1.6s7962×body80nan