Details

Time bar (total: 34.1s)

sample112.0ms

Algorithm
intervals
Results
58.0ms256×body80valid
38.0ms242×body80nan

simplify42.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
42.0ms
(* 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

localize43.0ms

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))

series168.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
122.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
34.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms
(/ (acos (/ (- g) h)) 3)

simplify1.4s

Counts
36 → 63
Calls
36 calls:
Slowest
243.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
90.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
70.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
67.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
67.0ms
(* 1/3 (acos (* -1 (/ g h))))

prune749.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize40.0ms

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)) (sqrt 3))
0.0b
(/ (acos (/ (- g) h)) (sqrt 3))

rewrite40.0ms

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
15.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
13.0ms
(/ (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)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
283.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
138.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
96.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
59.0ms
(/ (acos (/ (- g) h)) (sqrt 3))

simplify15.6s

Counts
359 → 258
Calls
359 calls:
Slowest
290.0ms
(/ (/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
282.0ms
(/ (* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
254.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
212.0ms
(/ (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt (* (cbrt 3) (cbrt 3)))) (* (cbrt (sqrt 3)) (cbrt (sqrt 3))))
205.0ms
(/ (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt (sqrt 3)) (cbrt (sqrt 3)))) (sqrt (sqrt 3)))

prune3.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
1.0b
(log1p (expm1 (cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))))
1.0b
(expm1 (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)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×log1p-expm1-u
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 add-log-exp
2×fma-udef
1×cos-sum log1p-udef expm1-log1p log1p-expm1 expm1-udef
Counts
4 → 46
Calls
4 calls:
Slowest
2.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
0.0ms
(expm1 (cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))))
0.0ms
(log1p (expm1 (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)))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
407.0ms
(expm1 (cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))))
400.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))))
307.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
128.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))

simplify2.4s

Counts
15 → 58
Calls
15 calls:
Slowest
243.0ms
(- (exp (cos (+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI)))) 1)
220.0ms
(cos (+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI)))
202.0ms
(+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI))
194.0ms
(- (exp (cos (+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI)))) 1)
192.0ms
(- (exp (cos (+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI)))) 1)

prune842.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

localize69.0ms

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
(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)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×cos-sum fma-udef
1×cbrt-prod cbrt-div pow1/3 pow3 associate-*l/ cos-mult rem-cbrt-cube
Counts
4 → 47
Calls
4 calls:
Slowest
29.0ms
(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)))))
5.0ms
(cos (fma 2/3 PI (/ (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)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(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)))))
128.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
127.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
114.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.1s

Counts
18 → 59
Calls
18 calls:
Slowest
121.0ms
(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)))))
80.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
79.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
75.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
73.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune747.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes308.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.4s8000×body80valid
1.7s8003×body80nan