Details

Time bar (total: 25.5s)

sample106.0ms

Algorithm
intervals
Results
50.0ms700×body80nan
17.0ms256×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
018458
138458
2119458
3412458
41551458
done5001458

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize43.0ms

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))))
4.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×*-un-lft-identity add-cube-cbrt
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Counts
4 → 138
Calls
4 calls:
31.0ms
(* 3.0 (/ x (* y 27.0)))
13.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
76.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series214.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 3.0 (/ x (* y 27.0)))
21.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
134.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify3.2s

Counts
150 → 150
Iterations

Useful iterations: 2 (1.6s)

IterNodesCost
026059023
173953508
2337650865
done502750905

prune830.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
4.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×*-un-lft-identity add-cube-cbrt
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp
2×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 160
Calls
4 calls:
16.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 1.0 (cbrt 3.0))
84.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
18.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series306.0ms

Counts
4 → 10
Calls
4 calls:
113.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
138.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
54.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify3.8s

Counts
170 → 170
Iterations

Useful iterations: 2 (1.5s)

IterNodesCost
027774792
176268982
2323564860
done567164900

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.05555555555555555 (/ x (* z y)))
1.0b
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
3.2b
(/ x (* z y))
4.9b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
26×add-sqr-sqrt
19×*-un-lft-identity add-cube-cbrt
17×associate-*l*
16×times-frac associate-*r*
15×prod-exp cbrt-unprod
13×pow1
7×cbrt-undiv div-exp
5×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod div-inv associate-/l* unswap-sqr
2×associate-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg
Counts
4 → 114
Calls
4 calls:
18.0ms
(* 0.05555555555555555 (/ x (* z y)))
22.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
13.0ms
(/ x (* z y))
63.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

series235.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 0.05555555555555555 (/ x (* z y)))
26.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
25.0ms
(/ x (* z y))
142.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

simplify2.6s

Counts
126 → 126
Iterations

Useful iterations: done (2.6s)

IterNodesCost
020936655
152734420
2195433338
done500132938

prune750.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes871.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
023659
131659
done31659

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.3s23303×body80nan
1.0s8000×body80valid