Details

Time bar (total: 9.0s)

sample19.0ms

Algorithm
intervals
Results
9.0ms332×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27411
315811
424311
530911
639711
768611
8180211
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.4b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
14.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* z z) (+ z 1.0))
68.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify660.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
0112858
1369788
22006626
done5000626

prune110.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.2b
(/ x (* z z))
7.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
3.0ms
(/ x (* z z))
24.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))

series105.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
21.0ms
(/ x (* z z))
49.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))

simplify672.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (215.0ms)

IterNodesCost
01801501
15171416
221201228
done50001228

prune229.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
67×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×prod-exp cbrt-unprod
35×*-un-lft-identity
29×add-cube-cbrt associate-*l*
26×cbrt-undiv div-exp
19×associate-*r*
17×cbrt-prod
11×pow1
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv distribute-lft-out
2×pow1/3 associate-/r/ *-commutative
1×flip3-+ flip-+
Counts
4 → 143
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
28.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
34.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series781.0ms

Counts
4 → 12
Calls
4 calls:
367.0ms
(cbrt x)
176.0ms
(cbrt x)
147.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
92.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify1.0s

Counts
155 → 155
Iterations

Useful iterations: 2 (365.0ms)

IterNodesCost
02652776
18542632
234561922
done50001922

prune384.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (/ (cbrt x) z) (* (cbrt y) (cbrt y))) (/ (cbrt y) (+ z 1.0))))
1.4b
(* (/ (cbrt x) z) (* (cbrt y) (cbrt y)))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
208×add-exp-log
129×add-cbrt-cube
116×prod-exp cbrt-unprod
51×cbrt-undiv div-exp
29×associate-*l*
26×add-sqr-sqrt
23×pow1 times-frac
21×add-cube-cbrt *-un-lft-identity
16×cbrt-prod
13×pow-prod-down
8×associate-*l/
5×frac-times associate-*r/
4×add-log-exp
3×unswap-sqr
2×pow1/3 associate-*r* *-commutative div-inv
Counts
4 → 160
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
184.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (/ (cbrt x) z) (* (cbrt y) (cbrt y))) (/ (cbrt y) (+ z 1.0))))
18.0ms
(* (/ (cbrt x) z) (* (cbrt y) (cbrt y)))

series530.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
176.0ms
(cbrt x)
79.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (/ (cbrt x) z) (* (cbrt y) (cbrt y))) (/ (cbrt y) (+ z 1.0))))
99.0ms
(* (/ (cbrt x) z) (* (cbrt y) (cbrt y)))

simplify1.2s

Counts
172 → 172
Iterations

Useful iterations: 2 (397.0ms)

IterNodesCost
02854582
110144330
243092618
done50002618

prune389.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
11925
done1925

end0.0ms

sample493.0ms

Algorithm
intervals
Results
289.0ms10714×body80valid