Details

Time bar (total: 37.1s)

sample16.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 5.828857%

Guaranteed chance to sample good point: 41.506254%

Results
9.0ms256×body80valid
3.0ms77×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1334
2454
3634
4694
5694

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.3b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (- (* x y) (* z t)) a)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
5.0ms
(/ (- (* x y) (* z t)) a)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(/ (- (* x y) (* z t)) a)

simplify61.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0163235
1569217
22030217
35002217

prune104.0ms

Filtered
26 candidates to 33 candidates (-26.9%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New181533
Fresh000
Picked101
Done000
Total191534

Merged error: 5.9b

Counts
34 → 15

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
6.0b
(/ (* t z) a)
6.1b
(/ (* x y) a)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
times-frac associate-/r*
add-log-exp
cbrt-undiv div-exp div-inv
pow1
frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
7.0ms
(- (/ (* x y) a) (/ (* t z) a))
4.0ms
(/ (* t z) a)
4.0ms
(/ (* x y) a)

series27.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- (/ (* x y) a) (/ (* t z) a))
5.0ms
(/ (* t z) a)
5.0ms
(/ (* x y) a)

simplify35.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0275315
11238283
25001283

prune97.0ms

Filtered
46 candidates to 68 candidates (-47.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New64468
Fresh8614
Picked101
Done000
Total731083

Merged error: 0.3b

Counts
83 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ a (- (* x y) (* z t))))
5.8b
(/ a (- (* x y) (* z t)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log
11×associate-/r/
add-cbrt-cube
div-exp
div-inv associate-/l*
flip3-- flip--
cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num add-log-exp
pow-flip inv-pow
Counts
2 → 113
Calls
2 calls:
8.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series39.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ 1 (/ a (- (* x y) (* z t))))
17.0ms
(/ a (- (* x y) (* z t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04131155
118461043
25002953

prune105.0ms

Filtered
62 candidates to 119 candidates (-91.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1181119
Fresh189
Picked011
Done000
Total11910129

Merged error: 0.3b

Counts
129 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
4.3b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
6.1b
(/ (* x y) a)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
cbrt-undiv div-exp prod-exp cbrt-unprod
associate-*l*
pow1 unswap-sqr
add-log-exp
associate-/r* div-inv
pow1/3
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
4.0ms
(/ (* x y) a)

series61.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt a)
22.0ms
(cbrt a)
10.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.0ms
(/ (* x y) a)

simplify61.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0540790
12622684
25002631

prune96.0ms

Filtered
83 candidates to 114 candidates (-37.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1113114
Fresh088
Picked101
Done101
Total11311124

Merged error: 0.0b

Counts
124 → 11

regimes1.1s

Accuracy

76.8% (1.8b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03626
13626

end0.0ms

sample18.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 5.828857%

Guaranteed chance to sample good point: 41.506254%

Results
296.0ms8000×body80valid
93.0ms2471×body80invalid

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