Details

Time bar (total: 22.3s)

sample161.0ms

Algorithm
intervals
Results
81.0ms739×body80nan
20.0ms256×body80valid

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize25.0ms

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))

rewrite151.0ms

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:
22.0ms
(* 3.0 (/ x (* y 27.0)))
14.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
78.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series181.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 3.0 (/ x (* y 27.0)))
24.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
99.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.9s

Counts
150 → 150
Iterations

Useful iterations: 2 (965.0ms)

IterNodesCost
02602872
17042749
230682131
done50012131

prune536.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×cbrt-prod
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 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:
42.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
13.0ms
(/ (sqrt 1.0) (cbrt 3.0))
82.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series340.0ms

Counts
4 → 10
Calls
4 calls:
157.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
142.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
40.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.6s

Counts
211 → 211
Iterations

Useful iterations: 2 (570.0ms)

IterNodesCost
03034123
17583942
231863370
done50003370

prune917.0ms

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
(/ (sqrt 1.0) (cbrt 3.0))
1.0b
(/ (sqrt 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))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
80×add-cbrt-cube
74×times-frac
67×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
46×sqrt-prod
42×cbrt-prod
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 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:
7.0ms
(/ (sqrt 1.0) (cbrt 3.0))
7.0ms
(/ (sqrt 1.0) (cbrt 3.0))
91.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series170.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
134.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.4s

Counts
207 → 207
Iterations

Useful iterations: 2 (464.0ms)

IterNodesCost
02543133
16212897
226852431
done50012431

prune1.1s

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
(* 0.05555555555555555 (/ x (* z y)))
1.0b
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
2.1b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.7b
(/ x (* z y))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
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×sqrt-prod *-commutative div-inv associate-/l* unswap-sqr
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r*
Counts
4 → 114
Calls
4 calls:
33.0ms
(* 0.05555555555555555 (/ x (* z y)))
22.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
89.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
12.0ms
(/ x (* z y))

series234.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 0.05555555555555555 (/ x (* z y)))
23.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
132.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
31.0ms
(/ x (* z y))

simplify1.4s

Counts
126 → 126
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02091709
15111650
218301386
done50001374

prune412.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes268.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02538
13238
done3238

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.5s23964×body80nan
1.2s8000×body80valid