Details

Time bar (total: 9.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms352×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27611
316711
425311
531711
638411
752011
8103211
9366011
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.0b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite26.0ms

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:
13.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* z z) (+ z 1.0))
68.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify710.0ms

Counts
61 → 61
Iterations

Useful iterations: 2 (210.0ms)

IterNodesCost
0116898
1377826
22037663
done5000663

prune119.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 10.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
11.4b
(/ x (* z z))

rewrite34.0ms

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))
22.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series107.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify706.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (281.0ms)

IterNodesCost
01861549
15281460
220611271
done50011271

prune235.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
33.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series619.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
182.0ms
(cbrt x)
180.0ms
(cbrt x)
79.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify652.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (210.0ms)

IterNodesCost
01651859
15391757
221911130
done50001130

prune254.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))
0.8b
(* (/ (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
99×add-cbrt-cube
75×prod-exp cbrt-unprod
40×cbrt-undiv div-exp
27×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
240.0ms
(* (/ (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series813.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt (cbrt x))
247.0ms
(cbrt (cbrt x))
245.0ms
(cbrt (cbrt x))
77.0ms
(* (/ (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify936.0ms

Counts
137 → 137
Iterations

Useful iterations: done (931.0ms)

IterNodesCost
02163687
17243493
232052116
done50012106

prune335.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

24.1% (2.0b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.6b

bsearch72.0ms

Steps
ItersRangePoint
7
4.5892521340021414e-265
1.3848962425528501e-263
1.0661228072684645e-263
8
-1.947333602267038e-88
-3.1437719196121527e-91
-3.1882065575343317e-91

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02352
13340
done3340

end0.0ms

sample523.0ms

Algorithm
intervals
Results
291.0ms10771×body80valid