Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
10.0ms339×body80valid

simplify112.0ms

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: 14.4b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.0b
(/ (* 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:
7.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* z z) (+ z 1.0))
63.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune103.0ms

Filtered
57 candidates to 33 candidates (57.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New50757
Fresh000
Picked101
Done000
Total51758

Merged error: 8.2b

Counts
58 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
3.9b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.6b
(/ x (* z z))

rewrite29.0ms

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))
16.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series134.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (+ z 1.0))
66.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune242.0ms

Filtered
116 candidates to 78 candidates (67.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1088116
Fresh606
Picked101
Done000
Total1158123

Merged error: 0.0b

Counts
123 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series700.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt x) (cbrt x))
168.0ms
(cbrt x)
165.0ms
(cbrt x)
166.0ms
(cbrt x)

simplify113.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune247.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh167
Picked101
Done000
Total831093

Merged error: 0.0b

Counts
93 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series982.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
271.0ms
(cbrt (* (cbrt x) (cbrt x)))
264.0ms
(cbrt (* (cbrt x) (cbrt x)))
274.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify83.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 4 (79.0ms)

IterNodesCost
078228
1168198
2559184
32334184
45003183

prune181.0ms

Filtered
50 candidates to 48 candidates (96.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New49150
Fresh099
Picked011
Done000
Total491160

Merged error: 0b

Counts
60 → 11

regimes116.0ms

Accuracy

0% (1.2b remaining)

Error of 1.5b against oracle of 0.3b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
11921

end0.0ms

sample537.0ms

Algorithm
intervals
Results
310.0ms10836×body80valid