Details

Time bar (total: 44.5s)

sample141.0ms

Algorithm
intervals
Results
60.0ms256×body80valid
55.0ms222×body80nan

simplify55.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
55.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize49.0ms

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))

rewrite17.0ms

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)
5.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series207.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
143.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
52.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms
(/ (acos (/ (- g) h)) 3)

simplify1.5s

Counts
36 → 63
Calls
36 calls:
Slowest
280.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
97.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
75.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
74.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
73.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune863.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize45.0ms

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))

rewrite39.0ms

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))
7.0ms
(/ (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)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
292.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
136.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
106.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
70.0ms
(/ (acos (/ (- g) h)) (sqrt 3))

simplify17.8s

Counts
359 → 258
Calls
359 calls:
Slowest
299.0ms
(/ (* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
289.0ms
(/ (/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
239.0ms
(/ (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt (sqrt 3)) (cbrt (sqrt 3)))) (* (cbrt (sqrt 3)) (cbrt (sqrt 3))))
237.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
224.0ms
(/ (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt (sqrt 3)) (cbrt (sqrt 3)))) (sqrt (sqrt 3)))

prune4.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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
5×log1p-expm1-u
4×expm1-log1p-u pow1 insert-posit16 add-log-exp
3×associate-/r* associate-/l*
2×div-sub
1×acos-asin cbrt-undiv acos-neg cos-sum log1p-udef expm1-log1p clear-num frac-2neg div-exp log1p-expm1 distribute-frac-neg fma-udef div-inv expm1-udef
Counts
4 → 67
Calls
4 calls:
Slowest
6.0ms
(/ (acos (/ (- g) h)) 3)
3.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
0.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series951.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
531.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
216.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
192.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
13.0ms
(/ (acos (/ (- g) h)) 3)

simplify1.9s

Counts
41 → 79
Calls
41 calls:
Slowest
278.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
105.0ms
(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
92.0ms
(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
90.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
87.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-prod
72×times-frac
60×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×associate-/r* associate-/l*
8×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv sqrt-undiv clear-num frac-2neg div-exp div-inv
1×cos-sum log1p-udef log1p-expm1 fma-udef
Counts
4 → 151
Calls
4 calls:
Slowest
12.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
7.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
7.0ms
(log1p (expm1 (cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))))))
3.0ms
(cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))))

series875.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
437.0ms
(log1p (expm1 (cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))))))
255.0ms
(cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))))
99.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
84.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))

simplify6.5s

Counts
186 → 163
Calls
186 calls:
Slowest
355.0ms
(/ (* (* (sqrt (acos (/ (- g) h))) (sqrt (acos (/ (- g) h)))) (sqrt (acos (/ (- g) h)))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
342.0ms
(/ (* (* (sqrt (acos (/ (- g) h))) (sqrt (acos (/ (- g) h)))) (sqrt (acos (/ (- g) h)))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
219.0ms
(cos (+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI)))
196.0ms
(cos (+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI)))
187.0ms
(cos (+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI)))

prune3.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

regimes326.0ms

Accuracy

0% (0.0b remaining)

Error of 1.0b against oracle of 1.0b and baseline of 1.0b

bsearch4.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.0s7847×body80nan
1.7s8000×body80valid