Details

Time bar (total: 1.8s)

sample21.0ms

Algorithm
intervals
Results
7.0ms300×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
051987

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* x (/ y z)))
5.6b
(* x (/ y z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
2.0ms
(+ x (* x (/ y z)))
10.0ms
(* x (/ y z))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (* x (/ y z)))
5.0ms
(* x (/ y z))

simplify48.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05313371

prune62.0ms

Filtered
34 candidates to 49 candidates (-44.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh011
Picked011
Done000
Total44751

Merged error: 0.0b

Counts
51 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

2.3b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
12.8b
(cbrt (/ y z))
12.8b
(cbrt (/ y z))
12.8b
(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
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×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))

series65.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
15.0ms
(cbrt (/ y z))
13.0ms
(cbrt (/ y z))
13.0ms
(cbrt (/ y z))

simplify71.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04915754
14915754

prune109.0ms

Filtered
74 candidates to 100 candidates (-35.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh055
Picked101
Done011
Total1007107

Merged error: 0.0b

Counts
107 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
2.3b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
12.8b
(cbrt (/ y z))
12.8b
(cbrt (/ y z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
21×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac
9×pow1 add-exp-log
7×add-cbrt-cube
6×cbrt-div
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt y)
10.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series74.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
25.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
15.0ms
(cbrt (/ y z))
13.0ms
(cbrt (/ y z))

simplify113.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
04888598
14888598

prune93.0ms

Filtered
62 candidates to 89 candidates (-43.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh055
Picked011
Done011
Total89796

Merged error: 0.0b

Counts
96 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* x y) (/ 1 z)))
5.3b
(* (* x y) (/ 1 z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
14×add-cbrt-cube
13×associate-*r*
12×prod-exp
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
7×pow1
6×cbrt-unprod
4×div-exp add-log-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×+-commutative flip3-+ associate-*r/ associate-*l* sum-log un-div-inv *-commutative flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (* x y) (/ 1 z)))
8.0ms
(* (* x y) (/ 1 z))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (* (* x y) (/ 1 z)))
5.0ms
(* (* x y) (/ 1 z))

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05147397

prune40.0ms

Filtered
30 candidates to 55 candidates (-83.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done022
Total55762

Merged error: 0.0b

Counts
62 → 7

regimes271.0ms

Accuracy

36.5% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 3.3b

bsearch33.0ms

Steps
ItersRangePoint
10
2.874435846777818e-143
3.6476347041017933e-131
3.426313986617449e-131
9
-5.037778411777015e-47
-9.712542091265868e-56
-3.2196791400107588e-49

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02625
12625

end0.0ms

sample576.0ms

Algorithm
intervals
Results
246.0ms9577×body80valid

Profiling

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