Details

Time bar (total: 20.1s)

sample131.0ms

Algorithm
intervals
Results
67.0ms793×body80nan
20.0ms256×body80valid

simplify5.0s

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: 1.7b

localize17.0ms

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))

rewrite155.0ms

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:
11.0ms
(/ x (* y 27.0))
25.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
88.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series186.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (* y 27.0))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
104.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.4s

Counts
136 → 136
Iterations

Useful iterations: 2 (457.0ms)

IterNodesCost
02482653
16762537
230051945
done50001945

prune424.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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))

rewrite157.0ms

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×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:
28.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ (sqrt 1.0) (cbrt 3.0))
83.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series280.0ms

Counts
4 → 10
Calls
4 calls:
145.0ms
(* (/ (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))
105.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.7s

Counts
203 → 203
Iterations

Useful iterations: 2 (610.0ms)

IterNodesCost
02954013
17483832
231513260
done50003260

prune927.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

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))

rewrite110.0ms

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×pow-prod-down sqrt-prod associate-/l* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 102
Calls
4 calls:
12.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
58.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
29.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series292.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
80.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
76.0ms
(* (sqrt t) (/ x (* z y)))
24.0ms
(/ x (* z y))

simplify1.3s

Counts
114 → 114
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02001720
14951630
218831378
done50011350

prune557.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)))

rewrite225.0ms

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 div-inv add-log-exp
3×pow1/3
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 84
Calls
4 calls:
199.0ms
(/ (* 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)))
7.0ms
(cbrt (/ x (* y 27.0)))

series489.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ (* 3.0 (* (* (cbrt (/ x (* y 27.0))) (cbrt (/ x (* y 27.0)))) (cbrt (/ x (* y 27.0))))) (* z 2.0))
124.0ms
(cbrt (/ x (* y 27.0)))
128.0ms
(cbrt (/ x (* y 27.0)))
100.0ms
(cbrt (/ x (* y 27.0)))

simplify1.5s

Counts
96 → 96
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01421860
13571809
219371113
done5000973

prune396.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02026
12526
done2526

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.7s23876×body80nan
830.0ms8000×body80valid