Details

Time bar (total: 26.9s)

sample209.0ms

Algorithm
intervals
Results
69.0ms843×body80nan
62.0ms256×body80valid

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite173.0ms

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)))
23.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
82.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
40.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series254.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 3.0 (/ x (* y 27.0)))
26.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
151.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.0s

Counts
150 → 150
Iterations

Useful iterations: 2 (657.0ms)

IterNodesCost
02602872
17042749
230682131
done50012131

prune582.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
82×cbrt-prod
81×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l*
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 sqrt-prod 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:
40.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ (cbrt 1.0) (cbrt 3.0))
105.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
49.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series337.0ms

Counts
4 → 10
Calls
4 calls:
166.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
119.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
52.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.8s

Counts
211 → 211
Iterations

Useful iterations: 2 (645.0ms)

IterNodesCost
03074109
17643954
230983382
done50013382

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
4.1b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
101×add-cbrt-cube
82×cbrt-prod
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
55×prod-exp cbrt-unprod
45×associate-*l*
22×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 208
Calls
4 calls:
33.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
8.0ms
(/ (cbrt 1.0) (cbrt 3.0))
167.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
35.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series351.0ms

Counts
4 → 10
Calls
4 calls:
175.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
142.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
34.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify2.1s

Counts
218 → 218
Iterations

Useful iterations: 2 (837.0ms)

IterNodesCost
03144316
17824137
236293473
done50013473

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.6b
(* (sqrt t) (/ x (* z y)))
4.1b
(/ x (* z y))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×prod-exp cbrt-unprod
11×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u add-log-exp
3×associate-*r/ associate-/l*
2×*-commutative div-inv unswap-sqr
1×acos-asin frac-2neg clear-num associate-/r*
Counts
4 → 91
Calls
4 calls:
3.0ms
(acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))
106.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
28.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series277.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))
120.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
90.0ms
(* (sqrt t) (/ x (* z y)))
53.0ms
(/ x (* z y))

simplify2.0s

Counts
103 → 103
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01601317
14051248
215851056
done50001026

prune371.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes507.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02433
13133
done3133

end0.0ms

sample7.1s

Algorithm
intervals
Results
4.0s24057×body80nan
1.2s8000×body80valid