Details

Time bar (total: 26.9s)

sample148.0ms

Algorithm
intervals
Results
74.0ms739×body80nan
20.0ms256×body80valid

simplify5.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite172.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 138
Calls
4 calls:
40.0ms
(* 3.0 (/ x (* y 27.0)))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
80.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series240.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
35.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
133.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
51.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.6s

Counts
150 → 150
Iterations

Useful iterations: 2 (579.0ms)

IterNodesCost
02602872
17042749
230682131
done50012131

prune971.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize29.0ms

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))
2.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite194.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 201
Calls
4 calls:
47.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
9.0ms
(/ (cbrt 1.0) (cbrt 3.0))
89.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series355.0ms

Counts
4 → 10
Calls
4 calls:
177.0ms
(* (/ (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))
130.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
48.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.7s

Counts
211 → 211
Iterations

Useful iterations: 2 (596.0ms)

IterNodesCost
03074109
17643954
230983382
done50013382

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (cbrt 1.0) (cbrt 3.0))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
2.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
84×cbrt-prod
82×add-exp-log
78×add-cbrt-cube
74×times-frac
67×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
33×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
13×associate-/r* associate-/l*
6×pow1 associate-*r*
5×associate-*l*
4×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 199
Calls
4 calls:
8.0ms
(/ (cbrt 1.0) (cbrt 3.0))
8.0ms
(/ (cbrt 1.0) (cbrt 3.0))
119.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series250.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
197.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
53.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.7s

Counts
207 → 207
Iterations

Useful iterations: 2 (659.0ms)

IterNodesCost
02563119
16202927
227202461
done50022461

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 2.0) (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
2.1b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
5.1b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite323.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 140
Calls
4 calls:
54.0ms
(* (* z 2.0) (* y 27.0))
29.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
170.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
56.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* z 2.0) (* y 27.0))
26.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
129.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
63.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify2.5s

Counts
152 → 152
Iterations

Useful iterations: 2 (979.0ms)

IterNodesCost
02493064
16862919
235162195
done50022195

prune459.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes443.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02641
13341
done3341

end0.0ms

sample7.1s

Algorithm
intervals
Results
4.0s23964×body80nan
1.2s8000×body80valid