Details

Time bar (total: 43.7s)

sample152.0ms

Algorithm
intervals
Results
76.0ms256×body80valid
52.0ms274×body80nan

simplify57.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
57.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize34.0ms

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
5.0ms
(/ (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))

series214.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
150.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
49.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
15.0ms
(/ (acos (/ (- g) h)) 3)

simplify2.8s

Counts
76 → 63
Calls
76 calls:
Slowest
256.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
194.0ms
(* (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (/ (acos (/ (- g) h)) 3))
161.0ms
(* (* (fma 2/3 PI (/ (acos (/ (- g) h)) 3)) (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
97.0ms
(exp (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
93.0ms
(* (* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))

prune676.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
156×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
144×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×div-sub
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×acos-asin acos-neg clear-num frac-2neg distribute-frac-neg fma-udef
1×cos-sum associate-/l/
Counts
4 → 246
Calls
4 calls:
Slowest
21.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
11.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
5.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
0.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))

series610.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
290.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
146.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
110.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
64.0ms
(/ (acos (/ (- g) h)) (sqrt 3))

simplify18.7s

Counts
415 → 258
Calls
415 calls:
Slowest
392.0ms
(* (* (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))) (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
278.0ms
(/ (/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
227.0ms
(/ (* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
218.0ms
(* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3)))
211.0ms
(+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI))

prune3.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize39.0ms

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×exp-prod add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×expm1-log1p-u log-pow insert-posit16 log1p-expm1-u
3×cos-sum log-prod associate-/r* fma-udef associate-/l*
2×exp-diff div-sub
1×acos-asin cbrt-undiv acos-neg log-div clear-num frac-2neg div-exp rem-log-exp distribute-frac-neg div-inv rem-exp-log
Counts
4 → 77
Calls
4 calls:
Slowest
7.0ms
(exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
6.0ms
(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
5.0ms
(/ (acos (/ (- g) h)) 3)
3.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
175.0ms
(exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
154.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
123.0ms
(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
20.0ms
(/ (acos (/ (- g) h)) 3)

simplify5.4s

Counts
105 → 89
Calls
105 calls:
Slowest
669.0ms
(log (exp (* (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))))
269.0ms
(log (exp (* (sin (* 2/3 PI)) (sin (/ (acos (/ (- g) h)) 3)))))
236.0ms
(log (exp (* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))))
228.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
150.0ms
(exp (* (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))))

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

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)

rewrite24.0ms

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
Counts
4 → 65
Calls
4 calls:
Slowest
9.0ms
(/ (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)))
4.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series458.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
154.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
128.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
11.0ms
(/ (acos (/ (- g) h)) 3)

simplify3.5s

Counts
92 → 77
Calls
92 calls:
Slowest
346.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
187.0ms
(* (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (/ (acos (/ (- g) h)) 3))
120.0ms
(* (* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
108.0ms
(* (* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
98.0ms
(* (* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes254.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.1s8000×body80valid
1.5s8078×body80nan