Details

Time bar (total: 24.6s)

sample190.0ms

Algorithm
intervals
Results
93.0ms793×body80nan
24.0ms256×body80valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize25.0ms

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))))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite192.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 132
Calls
4 calls:
11.0ms
(/ x (* y 27.0))
28.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
111.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series234.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ x (* y 27.0))
23.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
136.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
45.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.5s

Counts
144 → 144
Iterations

Useful iterations: 2 (585.0ms)

IterNodesCost
02562759
16862643
230122051
done50002051

prune530.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite196.0ms

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:
41.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms
(/ (sqrt 1.0) (cbrt 3.0))
84.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series393.0ms

Counts
4 → 10
Calls
4 calls:
184.0ms
(* (/ (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))
162.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
46.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
211 → 211
Iterations

Useful iterations: 2 (990.0ms)

IterNodesCost
03034123
17583942
231863370
done50003370

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.3b
(* (sqrt t) (/ x (* z y)))
4.3b
(/ x (* z y))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
35×add-cbrt-cube
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
12×times-frac
11×pow1
9×associate-*l*
8×cbrt-undiv div-exp associate-*r*
7×associate-/r*
6×cbrt-prod
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u associate-/l* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 110
Calls
4 calls:
14.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
60.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
37.0ms
(* (sqrt t) (/ x (* z y)))
9.0ms
(/ x (* z y))

series438.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
125.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
111.0ms
(* (sqrt t) (/ x (* z y)))
39.0ms
(/ x (* z y))

simplify1.5s

Counts
122 → 122
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02081808
15081718
219021466
done50011436

prune661.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

5.2b
(/ (* 3.0 (* (* (cbrt (/ x (* y 27.0))) (cbrt (/ x (* y 27.0)))) (cbrt (/ x (* y 27.0))))) (* z 2.0))
15.8b
(cbrt (/ x (* y 27.0)))
15.8b
(cbrt (/ x (* y 27.0)))
15.8b
(cbrt (/ x (* y 27.0)))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
28×add-cbrt-cube
21×cbrt-prod
16×prod-exp cbrt-unprod
15×cbrt-div
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-*r/
8×cbrt-undiv div-exp
7×associate-/l/
5×frac-times associate-*l/
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 92
Calls
4 calls:
218.0ms
(/ (* 3.0 (* (* (cbrt (/ x (* y 27.0))) (cbrt (/ x (* y 27.0)))) (cbrt (/ x (* y 27.0))))) (* z 2.0))
7.0ms
(cbrt (/ x (* y 27.0)))
7.0ms
(cbrt (/ x (* y 27.0)))
8.0ms
(cbrt (/ x (* y 27.0)))

series631.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(/ (* 3.0 (* (* (cbrt (/ x (* y 27.0))) (cbrt (/ x (* y 27.0)))) (cbrt (/ x (* y 27.0))))) (* z 2.0))
146.0ms
(cbrt (/ x (* y 27.0)))
161.0ms
(cbrt (/ x (* y 27.0)))
173.0ms
(cbrt (/ x (* y 27.0)))

simplify1.5s

Counts
104 → 104
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01461956
13621905
219391185
done50001039

prune551.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02026
12526
done2526

end0.0ms

sample6.3s

Algorithm
intervals
Results
3.1s23876×body80nan
1.4s8000×body80valid