Details

Time bar (total: 9.5s)

sample19.0ms

Algorithm
intervals
Results
9.0ms332×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27611
316711
425311
532711
643211
773311
8187611
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u 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 → 55
Calls
2 calls:
15.0ms
(* (* z z) (+ z 1.0))
12.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (* z z) (+ z 1.0))
70.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify753.0ms

Counts
61 → 61
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
0116898
1377826
22057663
done5000663

prune124.0ms

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)))

rewrite38.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
3.0ms
(/ x (* z z))
25.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ z 1.0))
21.0ms
(/ x (* z z))
54.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))

simplify729.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
01861549
15281460
221751271
done50011271

prune260.0ms

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))))

rewrite75.0ms

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×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×div-inv distribute-lft-out
2×pow1/3 associate-/r/ *-commutative
1×flip3-+ flip-+
Counts
4 → 151
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
27.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
40.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series726.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt x)
362.0ms
(cbrt x)
117.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
77.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify1.1s

Counts
163 → 163
Iterations

Useful iterations: 2 (410.0ms)

IterNodesCost
02712848
18662700
235301981
done50001981

prune432.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))) (* (cbrt (/ (cbrt x) z)) (/ y (+ z 1.0)))))
3.0b
(cbrt (/ (cbrt x) z))
3.0b
(cbrt (/ (cbrt x) z))
3.0b
(cbrt (/ (cbrt x) z))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
93×cbrt-prod
68×add-cbrt-cube
67×prod-exp cbrt-unprod
57×times-frac
51×cbrt-div
49×frac-times
45×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
37×associate-*r/
23×associate-*l/
22×pow1
20×cbrt-undiv div-exp
13×pow-prod-down
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 195
Calls
4 calls:
183.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))) (* (cbrt (/ (cbrt x) z)) (/ y (+ z 1.0)))))
2.0ms
(cbrt (/ (cbrt x) z))
2.0ms
(cbrt (/ (cbrt x) z))
2.0ms
(cbrt (/ (cbrt x) z))

series604.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))) (* (cbrt (/ (cbrt x) z)) (/ y (+ z 1.0)))))
172.0ms
(cbrt (/ (cbrt x) z))
175.0ms
(cbrt (/ (cbrt x) z))
174.0ms
(cbrt (/ (cbrt x) z))

simplify1.1s

Counts
207 → 207
Iterations

Useful iterations: 2 (367.0ms)

IterNodesCost
03115263
19405037
236543669
done50013669

prune597.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes227.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01623
12321
done2321

end0.0ms

sample498.0ms

Algorithm
intervals
Results
285.0ms10714×body80valid