Details

Time bar (total: 3.5s)

sample22.0ms

Algorithm
intervals
Results
11.0ms343×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite20.0ms

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:
8.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* z z) (+ z 1.0))
69.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380385
12326297
25001297

prune98.0ms

Filtered
57 candidates to 33 candidates (57.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New461157
Fresh000
Picked101
Done000
Total471158

Merged error: 9.0b

Counts
58 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.5b
(/ x (* z z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+
Counts
2 → 74
Calls
2 calls:
14.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

series73.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
21.0ms
(/ x (* z z))

simplify67.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0467526
12359442
25001442

prune141.0ms

Filtered
80 candidates to 52 candidates (65.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New71980
Fresh8210
Picked101
Done000
Total801191

Merged error: 0.3b

Counts
91 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series591.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
169.0ms
(cbrt x)
166.0ms
(cbrt x)
74.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify72.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0531965
12816680
25001576

prune203.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh2810
Picked011
Done000
Total9912111

Merged error: 0.0b

Counts
111 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
6.1b
(cbrt (/ (* (cbrt x) (cbrt x)) z))
6.1b
(cbrt (/ (* (cbrt x) (cbrt x)) z))
6.1b
(cbrt (/ (* (cbrt x) (cbrt x)) z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div div-inv
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
5.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
5.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))

series785.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt x)
198.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
193.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
201.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))

simplify42.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0115492
1265456
21005436
35002429

prune223.0ms

Filtered
71 candidates to 63 candidates (88.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh01010
Picked011
Done011
Total711283

Merged error: 0.0b

Counts
83 → 12

regimes183.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample619.0ms

Algorithm
intervals
Results
384.0ms10721×body80valid