Details

Time bar (total: 26.4s)

sample121.0ms

Algorithm
intervals
Results
56.0ms219×body80nan
47.0ms256×body80valid

simplify41.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
41.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize36.0ms

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))

rewrite18.0ms

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
11.0ms
(/ (acos (/ (- g) h)) 3)
6.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series212.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
145.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
51.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
16.0ms
(/ (acos (/ (- g) h)) 3)

simplify1.2s

Counts
36 → 63
Calls
36 calls:
Slowest
241.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
92.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
64.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
61.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
57.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))

prune705.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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
16.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
6.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
3.0ms
(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)))

series595.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
274.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
139.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
132.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
50.0ms
(/ (acos (/ (- g) h)) (sqrt 3))

simplify15.5s

Counts
359 → 258
Calls
359 calls:
Slowest
290.0ms
(/ (* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
243.0ms
(/ (/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
238.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
215.0ms
(/ (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt (sqrt 3)) (cbrt (sqrt 3)))) (* (cbrt (sqrt 3)) (cbrt (sqrt 3))))
198.0ms
(cos (+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI)))

prune3.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 1.0b

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.3s8000×body80valid
1.5s7794×body80nan