Details

Time bar (total: 3.8s)

sample20.0ms

Algorithm
intervals
Results
10.0ms328×body80valid

simplify111.0ms

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: 14.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.7b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite19.0ms

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)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (* z z) (+ z 1.0))
68.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380385
12326297
25001297

prune88.0ms

Filtered
57 candidates to 33 candidates (57.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New48957
Fresh000
Picked101
Done000
Total49958

Merged error: 7.7b

Counts
58 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.5b
(/ x (* z z))

rewrite32.0ms

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))
18.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

series111.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ z 1.0))
51.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0523706
12630610
25002610

prune207.0ms

Filtered
116 candidates to 78 candidates (67.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New10610116
Fresh628
Picked101
Done000
Total11312125

Merged error: 0.0b

Counts
125 → 12

localize15.0ms

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))))

rewrite23.0ms

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)
16.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series799.0ms

Counts
4 → 12
Calls
4 calls:
367.0ms
(cbrt x)
177.0ms
(cbrt x)
177.0ms
(cbrt x)
78.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify69.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0531965
12816680
25001576

prune180.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh3811
Picked011
Done000
Total9913112

Merged error: 0.0b

Counts
112 → 13

localize15.0ms

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 (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
157×add-exp-log
115×add-cbrt-cube
78×prod-exp cbrt-unprod
48×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 → 112
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
23.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
180.0ms
(cbrt x)
174.0ms
(cbrt x)
78.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

simplify99.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07562228
144091312
250021013

prune188.0ms

Filtered
124 candidates to 59 candidates (47.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh01111
Picked011
Done011
Total12413137

Merged error: 0.0b

Counts
137 → 13

regimes309.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample565.0ms

Algorithm
intervals
Results
352.0ms10737×body80valid