Details

Time bar (total: 15.4s)

sample198.0ms

Algorithm
intervals
Results
89.0ms786×body80nan
29.0ms256×body80valid

simplify831.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
8.0ms
(/ x (* y 27.0))
23.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
141.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series229.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ x (* y 27.0))
32.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
47.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
121.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify1.4s

Counts
136 → 136

prune418.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

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))
3.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite184.0ms

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:
26.0ms
(* (/ (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))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
112.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series291.0ms

Counts
4 → 10
Calls
4 calls:
130.0ms
(* (/ (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))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
131.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify1.6s

Counts
203 → 203

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 3.0) (acos (log (exp (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))))
3.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(log (exp (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log add-cbrt-cube
35×prod-exp cbrt-unprod
25×cbrt-undiv add-sqr-sqrt div-exp
18×associate-*l*
16×add-cube-cbrt *-un-lft-identity
12×times-frac
9×pow1 associate-*r*
5×add-log-exp
4×sqrt-prod unswap-sqr
3×log-prod log-pow div-inv
2×pow-prod-down associate-*l/ *-commutative
1×exp-prod exp-to-pow frac-2neg associate-*r/ rem-log-exp clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 117
Calls
4 calls:
26.0ms
(* (/ 1.0 3.0) (acos (log (exp (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))))
42.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
115.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0ms
(log (exp (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))

series308.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (/ 1.0 3.0) (acos (log (exp (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
133.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
111.0ms
(log (exp (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))

simplify1.3s

Counts
129 → 129

prune448.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes259.0ms

Accuracy

9.4% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify885.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.7s23833×body80nan
1.0s8000×body80valid