Details

Time bar (total: 2.3s)

sample26.0ms

Algorithm
intervals
Results
12.0ms349×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune3.0ms

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: 12.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
12.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite22.0ms

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:
11.0ms
(* (* z z) (+ z 1.0))
9.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (* z z) (+ z 1.0))
15.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune75.0ms

Filtered
57 candidates to 33 candidates (42.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New50757
Fresh000
Picked011
Done000
Total50858

Merged error: 6.4b

Counts
58 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.7b
(/ 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))
14.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series24.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (+ z 1.0))
13.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0523706
12630610
25002610

prune133.0ms

Filtered
116 candidates to 77 candidates (33.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1115116
Fresh246
Picked011
Done101
Total11410124

Merged error: 0.0b

Counts
124 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite21.0ms

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)
14.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
22.0ms
(cbrt x)
23.0ms
(cbrt x)
17.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05511001
12705715
25002587

prune100.0ms

Filtered
100 candidates to 57 candidates (43.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh178
Picked011
Done101
Total10010110

Merged error: 0.0b

Counts
110 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
7.5b
(cbrt (/ (* (cbrt x) (cbrt x)) z))
7.5b
(cbrt (/ (* (cbrt x) (cbrt x)) z))
7.5b
(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)
4.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
6.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
4.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))

series129.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
37.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
35.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
35.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))

simplify123.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0179558
1389503
2930454
33187423
45001423

prune74.0ms

Filtered
71 candidates to 59 candidates (16.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh088
Picked011
Done011
Total711081

Merged error: 0.0b

Counts
81 → 10

regimes387.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample716.0ms

Algorithm
intervals
Results
360.0ms10845×body80valid

Profiling

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