Details

Time bar (total: 3.5s)

sample38.0ms

Algorithm
intervals
Results
21.0ms518×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

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: 36.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

21.3b
(/ (* x x) (* y y))
22.4b
(/ (* z z) (* t t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
6.0ms
(/ (* x x) (* y y))
6.0ms
(/ (* z z) (* t t))

series54.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* x x) (* y y))
26.0ms
(/ (* z z) (* t t))

simplify32.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0285248
11335170
25001160

prune96.0ms

Filtered
48 candidates to 26 candidates (54.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New381048
Fresh000
Picked101
Done000
Total391049

Merged error: 4.2b

Counts
49 → 10

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ x y) (/ x y))
22.4b
(/ (* z z) (* t t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
41×times-frac
30×add-cube-cbrt *-un-lft-identity
26×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
pow1
cbrt-undiv div-exp prod-exp cbrt-unprod
div-inv
unswap-sqr
add-log-exp
pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* pow-sqr *-commutative pow-prod-up associate-/l*
Counts
2 → 88
Calls
2 calls:
10.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

series51.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (/ x y) (/ x y))
25.0ms
(/ (* z z) (* t t))

simplify62.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0482529
12387434
25001394

prune180.0ms

Filtered
94 candidates to 56 candidates (59.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New86894
Fresh549
Picked101
Done000
Total9212104

Merged error: 0.2b

Counts
104 → 12

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.3b
(* (/ x y) (/ x y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
80×times-frac
58×add-cube-cbrt *-un-lft-identity
26×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
16×pow1
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up add-log-exp
Counts
2 → 134
Calls
2 calls:
9.0ms
(* (/ z t) (/ z t))
10.0ms
(* (/ x y) (/ x y))

series55.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (/ z t) (/ z t))
26.0ms
(* (/ x y) (/ x y))

simplify84.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0668810
13378698
25002664

prune279.0ms

Filtered
140 candidates to 89 candidates (63.6%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1319140
Fresh3811
Picked011
Done000
Total13418152

Merged error: 0.0b

Counts
152 → 18

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ z t)) (cbrt (/ z t)))
10.8b
(cbrt (/ z t))
10.8b
(cbrt (/ z t))
10.8b
(cbrt (/ z t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
16.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series277.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
64.0ms
(cbrt (/ z t))
66.0ms
(cbrt (/ z t))
61.0ms
(cbrt (/ z t))

simplify78.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
02601109
19021061
235251016
35001992

prune411.0ms

Filtered
156 candidates to 119 candidates (76.3%)
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1533156
Fresh11516
Picked011
Done011
Total15420174

Merged error: 0.0b

Counts
174 → 20

regimes718.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample979.0ms

Algorithm
intervals
Results
579.0ms15628×body80valid

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