Details

Time bar (total: 19.1s)

sample169.0ms

Algorithm
intervals
Results
85.0ms843×body80nan
20.0ms256×body80valid

simplify642.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
22.0ms
(* 3.0 (/ x (* y 27.0)))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
95.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
38.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series196.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
120.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.4s

Counts
142 → 142

prune370.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
82×cbrt-prod
81×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l*
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×sqrt-prod div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 193
Calls
4 calls:
38.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ (cbrt 1.0) (cbrt 3.0))
101.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series315.0ms

Counts
4 → 10
Calls
4 calls:
141.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
127.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
46.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.5s

Counts
203 → 203

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* (/ 2001599834386887.0 3.602879701896397e+16) (/ x (* z y))) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.5b
(* (* (/ 2001599834386887.0 3.602879701896397e+16) (/ x (* z y))) (sqrt t))
4.1b
(/ x (* z y))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
82×cbrt-prod
79×times-frac
76×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
45×add-exp-log
41×associate-*l* add-cbrt-cube
18×prod-exp cbrt-unprod
11×pow1 cbrt-undiv div-exp
9×associate-*r* associate-/l*
7×associate-/r*
5×associate-*l/ unswap-sqr
4×pow-prod-down add-log-exp
3×sqrt-prod div-inv
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/
Counts
4 → 177
Calls
4 calls:
41.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* (/ 2001599834386887.0 3.602879701896397e+16) (/ x (* z y))) (sqrt t))))
11.0ms
(/ (cbrt 1.0) (cbrt 3.0))
97.0ms
(* (* (/ 2001599834386887.0 3.602879701896397e+16) (/ x (* z y))) (sqrt t))
9.0ms
(/ x (* z y))

series323.0ms

Counts
4 → 10
Calls
4 calls:
156.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* (/ 2001599834386887.0 3.602879701896397e+16) (/ x (* z y))) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
134.0ms
(* (* (/ 2001599834386887.0 3.602879701896397e+16) (/ x (* z y))) (sqrt t))
33.0ms
(/ x (* z y))

simplify1.1s

Counts
187 → 187

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* z 2.0) (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
3.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
4.1b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log add-cbrt-cube
63×prod-exp cbrt-unprod
24×add-sqr-sqrt
21×cbrt-undiv div-exp
20×pow1
19×associate-*l*
15×add-cube-cbrt *-un-lft-identity
12×times-frac
10×associate-*r* pow-prod-down
4×sqrt-prod add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 132
Calls
4 calls:
41.0ms
(* (* z 2.0) (* y 27.0))
22.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
119.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
44.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* z 2.0) (* y 27.0))
27.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
113.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
46.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify1.6s

Counts
144 → 144

prune302.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes394.0ms

Accuracy

-349.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.8s

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.4s24057×body80nan
1.4s8000×body80valid