Details

Time bar (total: 11.5s)

sample91.0ms

Algorithm
intervals
Results
41.0ms832×body80nan
13.0ms256×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
211919
346519
4200019
done500119

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite52.0ms

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:
3.0ms
(/ x (* y 27.0))
7.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
28.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series159.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.1s

Counts
136 → 136
Iterations

Useful iterations: 2 (382.0ms)

IterNodesCost
02482653
17222537
232941945
done50001945

prune307.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

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))
3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite69.0ms

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:
18.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ (cbrt 1.0) (cbrt 3.0))
29.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series235.0ms

Counts
4 → 10
Calls
4 calls:
110.0ms
(* (/ (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))
95.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.1s

Counts
203 → 203
Iterations

Useful iterations: 2 (432.0ms)

IterNodesCost
02993999
18003844
234213272
done50013272

prune737.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ x (* y 27.0))
1.0b
(/ (* 1.0 (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))) 3.0)
3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
35×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1 associate-*r*
5×associate-*l* associate-/r* associate-/l*
4×sqrt-prod div-inv add-log-exp
3×frac-2neg clear-num
2×unswap-sqr
1×associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 113
Calls
4 calls:
3.0ms
(/ x (* y 27.0))
3.0ms
(/ (* 1.0 (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))) 3.0)
29.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series163.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ x (* y 27.0))
16.0ms
(/ (* 1.0 (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))) 3.0)
97.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.0s

Counts
125 → 125
Iterations

Useful iterations: 2 (352.0ms)

IterNodesCost
02302396
16812278
232321688
done50001688

prune258.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes228.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02433
13033
done3033

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s24203×body80nan
424.0ms8000×body80valid