Details

Time bar (total: 17.3s)

sample162.0ms

Algorithm
intervals
Results
75.0ms256×body80valid
59.0ms279×body80nan

simplify126.0ms

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize38.0ms

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))

rewrite15.0ms

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
9.0ms
(/ (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))

series218.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
149.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
51.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
18.0ms
(/ (acos (/ (- g) h)) 3)

simplify3.0s

Counts
63 → 63

prune720.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize29.0ms

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)

rewrite17.0ms

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
10.0ms
(/ (acos (/ (- g) h)) 3)
5.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
1.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
218.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
157.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
142.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
13.0ms
(/ (acos (/ (- g) h)) 3)

simplify2.0s

Counts
79 → 79

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize64.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (sqrt 3))
1.0b
(log1p (expm1 (cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))))
1.0b
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
1.0b
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
76×times-frac
51×*-un-lft-identity
45×add-cube-cbrt
41×sqrt-prod
30×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×div-exp
8×pow1 prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp 1-exp div-inv pow-flip associate-/l*
1×frac-times cos-sum log1p-udef clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*l/ log1p-expm1 associate-*r/ *-commutative fma-udef inv-pow
Counts
4 → 157
Calls
4 calls:
Slowest
35.0ms
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
10.0ms
(/ 1 (sqrt 3))
4.0ms
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
0.0ms
(log1p (expm1 (cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))))

series822.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
405.0ms
(log1p (expm1 (cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))))
299.0ms
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
118.0ms
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
0.0ms
(/ 1 (sqrt 3))

simplify2.2s

Counts
167 → 167

prune2.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 1.0b

regimes174.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.1s8000×body80valid
1.5s8084×body80nan