Details

Time bar (total: 19.7s)

sample105.0ms

Algorithm
intervals
Results
46.0ms256×body80valid
38.0ms197×body80nan

simplify64.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
64.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 3 expressions with local error:

1.0b
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.9b
(/ (acos (/ (- g) h)) 3)
0.0b
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

rewrite8.0ms

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)
2.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series203.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
144.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
47.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms
(/ (acos (/ (- g) h)) 3)

simplify1.3s

Counts
36 → 63
Calls
36 calls:
Slowest
196.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
97.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
93.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
93.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
83.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))

prune684.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
11×pow1
8×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 cos-sum pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 82
Calls
4 calls:
Slowest
15.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))
4.0ms
(cos (fma 2/3 PI (* (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ (cbrt (acos (/ (- g) h))) 3))))
1.0ms
(cbrt (acos (/ (- g) h)))
1.0ms
(cbrt (acos (/ (- g) h)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
124.0ms
(cos (fma 2/3 PI (* (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ (cbrt (acos (/ (- g) h))) 3))))
77.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))
53.0ms
(cbrt (acos (/ (- g) h)))
51.0ms
(cbrt (acos (/ (- g) h)))

simplify3.5s

Counts
63 → 94
Calls
63 calls:
Slowest
359.0ms
(pow (pow (acos (* -1 (/ g h))) 2) 1/3)
350.0ms
(pow (pow (acos (* -1 (/ g h))) 2) 1/3)
317.0ms
(pow (pow (acos (* -1 (/ g h))) 2) 1/3)
256.0ms
(pow (acos (* -1 (/ g h))) 1/3)
245.0ms
(pow (acos (* -1 (/ g h))) 1/3)

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
11×pow1
8×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 cos-sum pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 82
Calls
4 calls:
Slowest
15.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))
12.0ms
(cos (fma 2/3 PI (* (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ (pow (acos (/ (- g) h)) 1/3) 3))))
1.0ms
(cbrt (acos (/ (- g) h)))
1.0ms
(cbrt (acos (/ (- g) h)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(cos (fma 2/3 PI (* (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ (pow (acos (/ (- g) h)) 1/3) 3))))
69.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))
47.0ms
(cbrt (acos (/ (- g) h)))
42.0ms
(cbrt (acos (/ (- g) h)))

simplify3.7s

Counts
63 → 94
Calls
63 calls:
Slowest
368.0ms
(pow (pow (acos (* -1 (/ g h))) 2) 1/3)
367.0ms
(pow (pow (acos (* -1 (/ g h))) 2) 1/3)
354.0ms
(pow (pow (acos (* -1 (/ g h))) 2) 1/3)
265.0ms
(pow (acos (* -1 (/ g h))) 1/3)
251.0ms
(pow (acos (* -1 (/ g h))) 1/3)

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize66.0ms

Local error

Found 4 expressions with local error:

1.6b
(cos (* 2/3 PI))
1.0b
(sin (* 2/3 PI))
1.0b
(* 2/3 PI)
1.0b
(* 2/3 PI)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
Slowest
13.0ms
(cos (* 2/3 PI))
13.0ms
(sin (* 2/3 PI))
10.0ms
(* 2/3 PI)
10.0ms
(* 2/3 PI)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(cos (* 2/3 PI))
0.0ms
(sin (* 2/3 PI))
0.0ms
(* 2/3 PI)
0.0ms
(* 2/3 PI)

simplify875.0ms

Counts
22 → 66
Calls
22 calls:
Slowest
189.0ms
(* (* (* 2/3 2/3) 2/3) (* (* PI PI) PI))
186.0ms
(* (* (* 2/3 2/3) 2/3) (* (* PI PI) PI))
129.0ms
(* (cos (* 2/3 PI)) (cos (* (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ (cbrt (acos (/ (- g) h))) 3))))
118.0ms
(* (cos (* 2/3 PI)) (cos (* (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ (cbrt (acos (/ (- g) h))) 3))))
82.0ms
(* (cos (* 2/3 PI)) (cos (* (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ (cbrt (acos (/ (- g) h))) 3))))

prune966.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes329.0ms

Accuracy

0% (0.0b remaining)

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

bsearch8.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.0s7818×body80nan
1.7s8000×body80valid