Details

Time bar (total: 35.6s)

sample128.0ms

Algorithm
intervals
Results
62.0ms256×body80valid
43.0ms237×body80nan

simplify82.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
81.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune18.0ms

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

rewrite11.0ms

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
6.0ms
(/ (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))

series194.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
131.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
51.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
11.0ms
(/ (acos (/ (- g) h)) 3)

simplify2.8s

Counts
76 → 63
Calls
76 calls:
Slowest
257.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
196.0ms
(* (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (/ (acos (/ (- g) h)) 3))
147.0ms
(* (* (fma 2/3 PI (/ (acos (/ (- g) h)) 3)) (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
94.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
89.0ms
(exp (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

prune604.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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
19.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
5.0ms
(/ (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)))

series621.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
262.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
170.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
131.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
57.0ms
(/ (acos (/ (- g) h)) (sqrt 3))

simplify18.5s

Counts
415 → 258
Calls
415 calls:
Slowest
354.0ms
(/ 1 (sqrt (* (cbrt 3) (cbrt 3))))
285.0ms
(/ (/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
280.0ms
(* (* (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))) (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
270.0ms
(/ (* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
201.0ms
(/ (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt (* (cbrt 3) (cbrt 3)))) (* (cbrt (sqrt 3)) (cbrt (sqrt 3))))

prune3.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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
14.0ms
(sin (* 2/3 PI))
13.0ms
(* 2/3 PI)
10.0ms
(* 2/3 PI)
7.0ms
(cos (* 2/3 PI))

series0.0ms

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

simplify1.5s

Counts
70 → 66
Calls
70 calls:
Slowest
228.0ms
(* (* (* 2/3 2/3) 2/3) (* (* PI PI) PI))
199.0ms
(* (* (* 2/3 2/3) 2/3) (* (* PI PI) PI))
172.0ms
(* (* (* 2/3 PI) (* 2/3 PI)) (* 2/3 PI))
155.0ms
(* (* (* 2/3 PI) (* 2/3 PI)) (* 2/3 PI))
75.0ms
(* (* (sin (* 2/3 PI)) (sin (* 2/3 PI))) (sin (* 2/3 PI)))

prune897.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
Slowest
23.0ms
(sin (* (* 2/3 (sqrt PI)) (sqrt PI)))
7.0ms
(cos (* 2/3 PI))
5.0ms
(* 2/3 PI)
1.0ms
(sqrt PI)

series0.0ms

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

simplify989.0ms

Counts
62 → 61
Calls
62 calls:
Slowest
215.0ms
(* (* (* 2/3 2/3) 2/3) (* (* PI PI) PI))
143.0ms
(* (* (* 2/3 PI) (* 2/3 PI)) (* 2/3 PI))
84.0ms
(* (* (sin (* (* 2/3 (sqrt PI)) (sqrt PI))) (sin (* (* 2/3 (sqrt PI)) (sqrt PI)))) (sin (* (* 2/3 (sqrt PI)) (sqrt PI))))
78.0ms
(* (* (cos (* 2/3 PI)) (cos (* 2/3 PI))) (cos (* 2/3 PI)))
23.0ms
(* (cbrt (sin (* (* 2/3 (sqrt PI)) (sqrt PI)))) (cbrt (sin (* (* 2/3 (sqrt PI)) (sqrt PI)))))

prune987.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes205.0ms

Accuracy

0% (0.0b remaining)

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

bsearch12.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.2s8000×body80valid
1.6s8113×body80nan