Details

Time bar (total: 4.8s)

sample34.0ms

Algorithm
intervals
Results
16.0ms361×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite18.0ms

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)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (* z z) (+ z 1.0))
81.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune136.0ms

Filtered
57 candidates to 33 candidates (42.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New471057
Fresh000
Picked101
Done000
Total481058

Merged error: 6.9b

Counts
58 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.0b
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.2b
(/ x (* z z))

rewrite27.0ms

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))
15.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series125.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ z 1.0))
61.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
26.0ms
(/ x (* z z))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0523706
12630610
25002610

prune393.0ms

Filtered
116 candidates to 78 candidates (32.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1097116
Fresh819
Picked101
Done000
Total1188126

Merged error: 0.0b

Counts
126 → 8

localize11.0ms

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)

rewrite10.0ms

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)
1.0ms
(cbrt x)

series820.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (cbrt x) (cbrt x))
198.0ms
(cbrt x)
191.0ms
(cbrt x)
199.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune339.0ms

Filtered
85 candidates to 64 candidates (24.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh167
Picked101
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
0.5b
(pow (cbrt x) 2)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
41×add-cbrt-cube
37×associate-*l*
36×prod-exp
33×times-frac
31×div-exp
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
18×cbrt-prod cbrt-unprod
13×cbrt-undiv
10×pow1
6×pow-to-exp pow-exp
5×frac-times associate-*r/
4×unpow2 add-log-exp sqr-pow
3×pow-unpow pow1/3 pow-prod-down associate-*l/
2×pow-pow
1×associate-*r* *-commutative div-inv
Counts
4 → 129
Calls
4 calls:
17.0ms
(* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
2.0ms
(pow (cbrt x) 2)
4.0ms
(cbrt x)
1.0ms
(cbrt x)

series741.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
234.0ms
(pow (cbrt x) 2)
204.0ms
(cbrt x)
207.0ms
(cbrt x)

simplify76.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06821183
13309950
25001868

prune623.0ms

Filtered
141 candidates to 96 candidates (31.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1401141
Fresh358
Picked011
Done000
Total1437150

Merged error: 0.0b

Counts
150 → 7

regimes260.0ms

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
0169
1169

end0.0ms

sample685.0ms

Algorithm
intervals
Results
331.0ms10851×body80valid

Profiling

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