Details

Time bar (total: 37.0s)

sample167.0ms

Algorithm
intervals
Results
81.0ms256×body80valid
64.0ms296×body80nan

simplify41.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
41.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize37.0ms

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))

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)
3.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series186.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
119.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
49.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
18.0ms
(/ (acos (/ (- g) h)) 3)

simplify1.4s

Counts
36 → 63
Calls
36 calls:
Slowest
325.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
94.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
81.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
78.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
73.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))

prune720.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize35.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (sqrt 3))
1.0b
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
0.9b
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
0.0b
(/ (acos (/ (- g) h)) (sqrt 3))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
106×add-sqr-sqrt
94×times-frac
66×*-un-lft-identity
60×add-cube-cbrt
53×sqrt-prod
32×add-exp-log
22×associate-*r* associate-*l*
20×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×pow1 prod-exp
6×cbrt-undiv associate-/l*
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp pow-flip
2×clear-num frac-2neg div-sub
1×acos-asin frac-times acos-neg cos-sum sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative fma-udef inv-pow
Counts
4 → 189
Calls
4 calls:
Slowest
17.0ms
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
5.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
5.0ms
(/ 1 (sqrt 3))
2.0ms
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))

series405.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
264.0ms
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
99.0ms
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
42.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
0.0ms
(/ 1 (sqrt 3))

simplify9.6s

Counts
199 → 199
Calls
199 calls:
Slowest
707.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))) (* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3))))
510.0ms
(* (* (* (/ 1 (sqrt 3)) (/ 1 (sqrt 3))) (/ 1 (sqrt 3))) (* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3))))
286.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
233.0ms
(* (* (* (/ 1 (sqrt 3)) (/ 1 (sqrt 3))) (/ 1 (sqrt 3))) (/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))))
224.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))) (/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))))

prune2.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (sqrt 3))
1.0b
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
0.9b
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
0.0b
(/ (acos (/ (- g) h)) (sqrt 3))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
106×add-sqr-sqrt
94×times-frac
66×*-un-lft-identity
60×add-cube-cbrt
53×sqrt-prod
32×add-exp-log
22×associate-*r* associate-*l*
20×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×pow1 prod-exp
6×cbrt-undiv associate-/l*
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp pow-flip
2×clear-num frac-2neg div-sub
1×acos-asin frac-times acos-neg cos-sum sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative fma-udef inv-pow
Counts
4 → 189
Calls
4 calls:
Slowest
17.0ms
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
13.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
5.0ms
(/ 1 (sqrt 3))
2.0ms
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))

series480.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
302.0ms
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
105.0ms
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
73.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
0.0ms
(/ 1 (sqrt 3))

simplify9.6s

Counts
197 → 199
Calls
197 calls:
Slowest
745.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))) (* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3))))
558.0ms
(* (* (* (/ 1 (sqrt 3)) (/ 1 (sqrt 3))) (/ 1 (sqrt 3))) (* (* (/ (acos (/ (- g) h)) (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3))) (/ (acos (/ (- g) h)) (sqrt 3))))
248.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))) (/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3))))
208.0ms
(cos (+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI)))
203.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))

prune3.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

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
5.0ms
(/ (acos (/ (- g) h)) 3)
2.0ms
(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)))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
255.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
189.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
158.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
12.0ms
(/ (acos (/ (- g) h)) 3)

simplify1.7s

Counts
41 → 79
Calls
41 calls:
Slowest
254.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
99.0ms
(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
99.0ms
(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
92.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
85.0ms
(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

regimes368.0ms

Accuracy

0% (0.0b remaining)

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

bsearch8.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.1s8000×body80valid
2.0s8043×body80nan