Details

Time bar (total: 22.6s)

sample193.0ms

Algorithm
intervals
Results
98.0ms784×body80nan
24.0ms256×body80valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5000
42302
3500
2122
138
018

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize26.0ms

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))))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 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:
29.0ms
(* 3.0 (/ x (* y 27.0)))
23.0ms
(* (/ 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))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series246.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 3.0 (/ x (* y 27.0)))
32.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
125.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
53.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.9s

Counts
150 → 150
Iterations
IterNodes
done5002
24737
1759
0260

prune785.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))))
1.0b
(/ 1.0 (cbrt 3.0))
2.7b
(/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))
5.1b
(/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
105×add-exp-log
103×add-cbrt-cube
79×add-sqr-sqrt
71×*-un-lft-identity add-cube-cbrt
49×cbrt-undiv div-exp
33×sqrt-prod
28×prod-exp cbrt-unprod
22×cbrt-prod associate-*l*
21×associate-/r*
20×div-inv
10×associate-/l*
9×associate-/r/
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*r* unswap-sqr
1×pow-prod-down associate-*l/ *-commutative
Counts
4 → 240
Calls
4 calls:
16.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))))
5.0ms
(/ 1.0 (cbrt 3.0))
18.0ms
(/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))
21.0ms
(/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))

series302.0ms

Counts
4 → 10
Calls
4 calls:
121.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))))
0.0ms
(/ 1.0 (cbrt 3.0))
137.0ms
(/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))
44.0ms
(/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))

simplify601.0ms

Counts
250 → 250
Iterations
IterNodes
done5001
11161
0411

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))))
1.0b
(/ 1.0 (cbrt 3.0))
2.7b
(/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))
5.5b
(* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0))

rewrite721.0ms

Algorithm
rewrite-expression-head
Rules
201×add-exp-log
128×prod-exp
111×add-cbrt-cube
64×cbrt-unprod
45×add-sqr-sqrt
44×times-frac
37×*-un-lft-identity div-exp add-cube-cbrt
27×pow1
23×associate-*l*
22×cbrt-prod
21×cbrt-undiv
16×pow-prod-down
9×associate-/l*
8×rec-exp 1-exp
7×associate-/r*
6×sqrt-prod
5×associate-*l/
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×div-inv unswap-sqr
2×clear-num frac-2neg associate-*r/ *-commutative
1×associate-/r/
Counts
4 → 188
Calls
4 calls:
31.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))))
9.0ms
(/ 1.0 (cbrt 3.0))
321.0ms
(/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))
338.0ms
(* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0))

series344.0ms

Counts
4 → 10
Calls
4 calls:
120.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))))
0.0ms
(/ 1.0 (cbrt 3.0))
158.0ms
(/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))
65.0ms
(* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0))

simplify722.0ms

Counts
198 → 198
Iterations
IterNodes
done5000
11032
0349

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (* 3.0 x))
1.0b
(* (* (/ 1 (cbrt (sqrt 3.0))) (/ 1.0 (cbrt (sqrt 3.0)))) (acos (/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))))
2.7b
(/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))
5.5b
(* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0))

rewrite713.0ms

Algorithm
rewrite-expression-head
Rules
237×add-exp-log
146×prod-exp
125×add-cbrt-cube
72×cbrt-unprod
47×div-exp
33×pow1
25×cbrt-undiv
19×pow-prod-down
12×rec-exp 1-exp
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac associate-/l*
8×associate-*l/
6×sqrt-prod
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×associate-*r/
2×clear-num associate-/r* frac-2neg associate-*l* *-commutative div-inv pow-flip
1×frac-times associate-/r/ inv-pow
Counts
4 → 166
Calls
4 calls:
16.0ms
(/ 1 (* 3.0 x))
80.0ms
(* (* (/ 1 (cbrt (sqrt 3.0))) (/ 1.0 (cbrt (sqrt 3.0)))) (acos (/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))))
290.0ms
(/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))
313.0ms
(* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0))

series771.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1 (* 3.0 x))
586.0ms
(* (* (/ 1 (cbrt (sqrt 3.0))) (/ 1.0 (cbrt (sqrt 3.0)))) (acos (/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))))
105.0ms
(/ (sqrt t) (* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0)))
51.0ms
(* (* z 2.0) (* (* (/ 1 (* 3.0 x)) y) 27.0))

simplify525.0ms

Counts
178 → 178
Iterations
IterNodes
done5000
11094
0342

prune849.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes302.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done33
133
024

end0.0ms

sample6.5s

Algorithm
intervals
Results
3.6s24039×body80nan
1.0s8000×body80valid