Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
9.0ms312×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550022

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 6.2b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.9b
(* x (/ y z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (/ y z))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(* x (/ y z))

simplify66.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166133
1744118
23139118
35001118

prune73.0ms

Filtered
35 candidates to 24 candidates (68.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New26935
Fresh000
Picked011
Done000
Total261036

Merged error: 0.0b

Counts
36 → 10

localize7.0ms

Local error

Found 4 expressions with local error:

2.5b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
14.1b
(cbrt (/ y z))
14.1b
(cbrt (/ y z))
14.1b
(cbrt (/ y z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
cbrt-div add-cbrt-cube
associate-*r/ add-log-exp
pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 88
Calls
4 calls:
9.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series263.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
57.0ms
(cbrt (/ y z))
63.0ms
(cbrt (/ y z))
63.0ms
(cbrt (/ y z))

simplify49.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0238621
1579571
21588561
35001519

prune234.0ms

Filtered
100 candidates to 81 candidates (81.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh088
Picked011
Done011
Total9911110

Merged error: 0.0b

Counts
110 → 11

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(* (cbrt x) (/ y z))
4.3b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
25×add-sqr-sqrt
18×pow1 add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
14×associate-*r*
11×cbrt-prod times-frac
pow-prod-down
associate-*l*
add-log-exp unswap-sqr
cbrt-undiv associate-*r/ div-exp
pow1/3 *-commutative
div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(cbrt x)
7.0ms
(* (cbrt x) (/ y z))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

series502.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
180.0ms
(cbrt x)
102.0ms
(* (cbrt x) (/ y z))
40.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0314546
11410432
25001400

prune183.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh088
Picked011
Done022
Total9811109

Merged error: 0.0b

Counts
109 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

2.5b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
4.6b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
14.1b
(cbrt (/ y z))
14.1b
(cbrt (/ y z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×cbrt-prod
21×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
pow1 add-exp-log
cbrt-div add-cbrt-cube
associate-*r/ add-log-exp
pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 80
Calls
4 calls:
10.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
7.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series489.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
86.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
63.0ms
(cbrt (/ y z))
62.0ms
(cbrt (/ y z))

simplify54.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0265670
1645605
21781592
35001553

prune303.0ms

Filtered
92 candidates to 74 candidates (80.4%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New91192
Fresh077
Picked011
Done033
Total9112103

Merged error: 0.0b

Counts
103 → 12

regimes253.0ms

Accuracy

71.8% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02613
1298
2328
3328

end0.0ms

sample547.0ms

Algorithm
intervals
Results
309.0ms9627×body80valid

Profiling

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