Details

Time bar (total: 4.8s)

analyze861.0ms

Algorithm
search

sample34.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms191×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.7b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

18.2b
(/ (* x x) (* y y))
19.0b
(/ (* 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))

series10.0ms

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

simplify30.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0285248
11335170
25001160

prune73.0ms

Filtered
26 candidates to 48 candidates (-84.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New40848
Fresh000
Picked101
Done000
Total41849

Merged error: 4.4b

Counts
49 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
18.2b
(/ (* x x) (* y y))

rewrite20.0ms

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:
11.0ms
(* (/ z t) (/ z t))
6.0ms
(/ (* x x) (* y y))

series10.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0482529
12387434
25001394

prune118.0ms

Filtered
57 candidates to 94 candidates (-64.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New86894
Fresh257
Picked101
Done000
Total8913102

Merged error: 0.1b

Counts
102 → 13

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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))
9.0ms
(* (/ x y) (/ x y))

series10.0ms

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

simplify81.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0668810
13378698
25002664

prune154.0ms

Filtered
89 candidates to 140 candidates (-57.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1328140
Fresh7512
Picked101
Done000
Total14013153

Merged error: 0.0b

Counts
153 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.7b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (/ x y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
155×add-exp-log
78×prod-exp
57×add-cbrt-cube
48×div-exp
32×cbrt-unprod
22×cbrt-undiv
10×rec-exp 1-exp
pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
frac-times associate-*r/
add-log-exp
times-frac pow1/3 pow-prod-down associate-*l/
associate-*r* *-commutative div-inv
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
15.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (/ x y)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
24.0ms
(cbrt y)
21.0ms
(cbrt y)
10.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (/ x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05401071
12632778
25001636

prune71.0ms

Filtered
55 candidates to 120 candidates (-118.2%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh01212
Picked011
Done000
Total11914133

Merged error: 0.0b

Counts
133 → 14

regimes1.2s

Accuracy

33.4% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 2.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03629
13629

end0.0ms

analyze921.0ms

Algorithm
search

sample926.0ms

Algorithm
intervals
Results
352.0ms8000×body80valid
254.0ms5786×body80invalid

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