Details

Time bar (total: 14.4s)

sample156.0ms

Algorithm
intervals
Results
80.0ms256×body80valid
52.0ms226×body80nan

simplify36.0ms

Calls
1 calls:
Slowest
35.0ms
(* 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

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))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×div-sub fma-udef
1×acos-asin acos-neg cos-sum clear-num frac-2neg distribute-frac-neg div-inv
Calls
3 calls:
Slowest
4.0ms
(/ (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))

series117.0ms

Calls
3 calls:
Slowest
80.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
26.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
10.0ms
(/ (acos (/ (- g) h)) 3)

simplify603.0ms

Calls
14 calls:
Slowest
85.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
68.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
65.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
60.0ms
(* 1/3 (acos (* -1 (/ g h))))
57.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))

prune473.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize9.0ms

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
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×expm1-log1p-u add-cbrt-cube add-exp-log log-pow insert-posit16 log1p-expm1-u add-log-exp
3×log-prod exp-prod fma-udef associate-/l*
2×cos-sum div-sub
1×acos-asin acos-neg log-div clear-num frac-2neg exp-diff rem-log-exp distribute-frac-neg div-inv
Calls
4 calls:
Slowest
5.0ms
(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
4.0ms
(/ (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))

series232.0ms

Calls
4 calls:
Slowest
100.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
84.0ms
(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
36.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms
(/ (acos (/ (- g) h)) 3)

simplify1.1s

Calls
25 calls:
Slowest
87.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
81.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
73.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
72.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
61.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune851.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×cos-sum fma-udef associate-/l*
2×div-sub
1×acos-asin acos-neg clear-num frac-2neg distribute-frac-neg div-inv
Calls
4 calls:
Slowest
8.0ms
(/ (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)))

series306.0ms

Calls
4 calls:
Slowest
101.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
100.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
95.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
10.0ms
(/ (acos (/ (- g) h)) 3)

simplify940.0ms

Calls
19 calls:
Slowest
91.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
91.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
88.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
88.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
77.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
6×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×cos-sum cos-mult fma-udef
1×cbrt-prod pow2 sqr-cos cbrt-div pow-plus pow1/3 pow3 pow-prod-down associate-*l/ prod-exp *-commutative pow-prod-up rem-cbrt-cube cbrt-unprod
Calls
4 calls:
Slowest
16.0ms
(cbrt (* (* (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)))))
9.0ms
(* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
4.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
2.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series442.0ms

Calls
4 calls:
Slowest
130.0ms
(* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
112.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
105.0ms
(cbrt (* (* (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)))))
96.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.7s

Calls
30 calls:
Slowest
136.0ms
(cbrt (* (+ (cos (+ (fma 2/3 PI (/ (acos (/ (- g) h)) 3)) (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cos (- (fma 2/3 PI (/ (acos (/ (- g) h)) 3)) (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)))) (* (* (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)))))
88.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
84.0ms
(* 1/2 (cos (* 2 (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
82.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes329.0ms

Accuracy

0% (0.1b remaining)

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

bsearch13.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.2s8000×body80valid
1.5s8052×body80nan