Details

Time bar (total: 24.1s)

sample148.0ms

Algorithm
intervals
Results
60.0ms757×body80nan
22.0ms256×body80valid

simplify5.0s

Counts
1 → 1
Iterations
IterNodes
done5001
41551
3412
2119
138
018

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize28.0ms

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))))
2.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite174.0ms

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 insert-posit16 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 → 142
Calls
4 calls:
30.0ms
(* 3.0 (/ x (* y 27.0)))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
96.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series199.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
120.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
154 → 154
Iterations
IterNodes
done5380
23288
1742
0264

prune675.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×*-un-lft-identity add-cube-cbrt
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
2×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 164
Calls
4 calls:
27.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 1.0 (cbrt 3.0))
73.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series308.0ms

Counts
4 → 10
Calls
4 calls:
107.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
162.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.2s

Counts
174 → 174
Iterations
IterNodes
done5504
23263
1766
0281

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.7b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.7b
(/ x (* z y))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×*-un-lft-identity add-cube-cbrt
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×clear-num frac-2neg associate-*l/ *-commutative
1×associate-*r/
Counts
4 → 140
Calls
4 calls:
21.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
6.0ms
(/ 1.0 (cbrt 3.0))
63.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
8.0ms
(/ x (* z y))

series308.0ms

Counts
4 → 10
Calls
4 calls:
124.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
157.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
28.0ms
(/ x (* z y))

simplify1.6s

Counts
150 → 150
Iterations
IterNodes
done5000
21925
1573
0238

prune975.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 27.0))
0.2b
(* 3.0 (/ x (* y 27.0)))
2.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
38×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
18×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity add-cube-cbrt
8×pow1 times-frac associate-*l*
4×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
3×unswap-sqr
2×clear-num associate-/r* frac-2neg pow-prod-down associate-*r/ *-commutative
1×associate-*l/ associate-/l/
Counts
4 → 131
Calls
4 calls:
8.0ms
(/ x (* y 27.0))
22.0ms
(* 3.0 (/ x (* y 27.0)))
92.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series249.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ x (* y 27.0))
22.0ms
(* 3.0 (/ x (* y 27.0)))
154.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
47.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.7s

Counts
143 → 143
Iterations
IterNodes
done5041
22899
1611
0212

prune807.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes693.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.6s23503×body80nan
1.7s8000×body80valid