Details

Time bar (total: 22.9s)

sample126.0ms

Algorithm
intervals
Results
61.0ms749×body80nan
16.0ms256×body80valid

simplify3.8s

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize36.0ms

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))))
2.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
88×add-cbrt-cube add-exp-log
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×*-un-lft-identity add-cube-cbrt
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×clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 132
Calls
4 calls:
12.0ms
(/ x (* y 27.0))
22.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
110.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
42.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series253.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (* y 27.0))
29.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
164.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.9s

Counts
144 → 144
Iterations
IterNodes
done5000
24393
1735
0256

prune732.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 0.05555555555555555 (* (sqrt t) (/ (/ x z) y)))
2.5b
(* (sqrt t) (/ (/ x z) y))
5.5b
(/ (/ x z) y)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
101×add-sqr-sqrt
83×*-un-lft-identity add-cube-cbrt
44×associate-*r*
31×add-cbrt-cube add-exp-log
13×associate-/l*
10×pow1 prod-exp cbrt-unprod
9×cbrt-undiv div-exp associate-*l* div-inv
6×sqrt-prod unswap-sqr
4×pow-prod-down
3×expm1-log1p-u associate-/r* associate-*r/ log1p-expm1-u add-log-exp
2×*-commutative
1×clear-num frac-2neg associate-/l/
Counts
3 → 170
Calls
3 calls:
55.0ms
(* 0.05555555555555555 (* (sqrt t) (/ (/ x z) y)))
36.0ms
(* (sqrt t) (/ (/ x z) y))
18.0ms
(/ (/ x z) y)

series284.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(* 0.05555555555555555 (* (sqrt t) (/ (/ x z) y)))
123.0ms
(* (sqrt t) (/ (/ x z) y))
38.0ms
(/ (/ x z) y)

simplify517.0ms

Counts
179 → 179
Iterations
IterNodes
done5001
1808
0286

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (* 3.0 x) (* (* 2.0 27.0) y))
1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (sqrt t) z) (/ (* 3.0 x) (* (* 2.0 27.0) y)))))
1.0b
(/ 1.0 (cbrt 3.0))
6.3b
(* (/ (sqrt t) z) (/ (* 3.0 x) (* (* 2.0 27.0) y)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log
95×add-cbrt-cube
63×add-sqr-sqrt
60×times-frac
47×*-un-lft-identity add-cube-cbrt
44×associate-*l*
43×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
22×cbrt-prod
10×sqrt-prod
8×pow1 associate-*r*
7×associate-/r*
6×unswap-sqr
5×div-inv
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
1×frac-times associate-*r/
Counts
4 → 184
Calls
4 calls:
22.0ms
(/ (* 3.0 x) (* (* 2.0 27.0) y))
16.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (sqrt t) z) (/ (* 3.0 x) (* (* 2.0 27.0) y)))))
5.0ms
(/ 1.0 (cbrt 3.0))
78.0ms
(* (/ (sqrt t) z) (/ (* 3.0 x) (* (* 2.0 27.0) y)))

series254.0ms

Counts
4 → 10
Calls
4 calls:
23.0ms
(/ (* 3.0 x) (* (* 2.0 27.0) y))
117.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (sqrt t) z) (/ (* 3.0 x) (* (* 2.0 27.0) y)))))
0.0ms
(/ 1.0 (cbrt 3.0))
113.0ms
(* (/ (sqrt t) z) (/ (* 3.0 x) (* (* 2.0 27.0) y)))

simplify593.0ms

Counts
194 → 194
Iterations
IterNodes
done5000
1935
0318

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (sqrt 1) (* (cbrt z) (cbrt z))) (* (* (/ x y) (/ (/ 3.0 27.0) 2.0)) (/ (sqrt t) (cbrt z))))))
1.0b
(/ 1.0 (cbrt 3.0))
2.9b
(* (* (/ x y) (/ (/ 3.0 27.0) 2.0)) (/ (sqrt t) (cbrt z)))
3.9b
(* (/ (sqrt 1) (* (cbrt z) (cbrt z))) (* (* (/ x y) (/ (/ 3.0 27.0) 2.0)) (/ (sqrt t) (cbrt z))))

rewrite418.0ms

Algorithm
rewrite-expression-head
Rules
364×add-exp-log
304×add-cbrt-cube
166×prod-exp cbrt-unprod
132×cbrt-undiv div-exp
80×times-frac
69×add-sqr-sqrt
61×*-un-lft-identity add-cube-cbrt
44×associate-*r*
40×cbrt-prod
33×associate-*l*
22×frac-times
21×sqrt-prod
20×pow1
17×associate-*l/
16×associate-*r/
10×pow-prod-down
6×associate-/r*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×*-commutative associate-/l* unswap-sqr
1×clear-num frac-2neg
Counts
4 → 302
Calls
4 calls:
31.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (sqrt 1) (* (cbrt z) (cbrt z))) (* (* (/ x y) (/ (/ 3.0 27.0) 2.0)) (/ (sqrt t) (cbrt z))))))
10.0ms
(/ 1.0 (cbrt 3.0))
73.0ms
(* (* (/ x y) (/ (/ 3.0 27.0) 2.0)) (/ (sqrt t) (cbrt z)))
270.0ms
(* (/ (sqrt 1) (* (cbrt z) (cbrt z))) (* (* (/ x y) (/ (/ 3.0 27.0) 2.0)) (/ (sqrt t) (cbrt z))))

series673.0ms

Counts
4 → 10
Calls
4 calls:
142.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (sqrt 1) (* (cbrt z) (cbrt z))) (* (* (/ x y) (/ (/ 3.0 27.0) 2.0)) (/ (sqrt t) (cbrt z))))))
0.0ms
(/ 1.0 (cbrt 3.0))
357.0ms
(* (* (/ x y) (/ (/ 3.0 27.0) 2.0)) (/ (sqrt t) (cbrt z)))
174.0ms
(* (/ (sqrt 1) (* (cbrt z) (cbrt z))) (* (* (/ x y) (/ (/ 3.0 27.0) 2.0)) (/ (sqrt t) (cbrt z))))

simplify1.1s

Counts
312 → 312
Iterations
IterNodes
done5001
11823
0531

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes305.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done35
135
028

end0.0ms

sample6.7s

Algorithm
intervals
Results
3.4s23959×body80nan
1.4s8000×body80valid