Details

Time bar (total: 3.1s)

sample44.0ms

Algorithm
intervals
Results
16.0ms373×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune16.0ms

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: 0.0b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
4.4b
(* (* a z) b)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-+l+
1×associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
7.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms
(+ x (* y z))
5.0ms
(+ (+ x (* y z)) (* t a))
5.0ms
(* (* a z) b)

series52.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(+ x (* y z))
14.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(* (* a z) b)

simplify46.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0335378
11670347
25002342

prune87.0ms

Filtered
51 candidates to 68 candidates (-33.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64468
Fresh011
Picked101
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (* a z) b)
12.6b
(cbrt (* (* a z) b))
12.6b
(cbrt (* (* a z) b))
12.6b
(cbrt (* (* a z) b))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 45
Calls
4 calls:
5.0ms
(* (* a z) b)
3.0ms
(cbrt (* (* a z) b))
3.0ms
(cbrt (* (* a z) b))
6.0ms
(cbrt (* (* a z) b))

series67.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* a z) b)
20.0ms
(cbrt (* (* a z) b))
21.0ms
(cbrt (* (* a z) b))
21.0ms
(cbrt (* (* a z) b))

simplify71.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0184304
1742268
23451247
35002217

prune76.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh044
Picked011
Done000
Total57562

Merged error: 0.0b

Counts
62 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ x (* y z)) (* t a)))
0.5b
(cbrt (+ (+ x (* y z)) (* t a)))
0.5b
(* (cbrt (+ (+ x (* y z)) (* t a))) (cbrt (+ (+ x (* y z)) (* t a))))
4.4b
(* (* a z) b)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×cbrt-prod
16×pow1 cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×add-exp-log
9×associate-*r* add-cbrt-cube
8×flip3-+ pow1/3 flip-+
7×associate-*l*
6×swap-sqr
5×pow-prod-down
4×frac-times prod-exp cbrt-unprod add-log-exp unswap-sqr
2×associate-*r/ associate-*l/ pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 92
Calls
4 calls:
4.0ms
(cbrt (+ (+ x (* y z)) (* t a)))
4.0ms
(cbrt (+ (+ x (* y z)) (* t a)))
11.0ms
(* (cbrt (+ (+ x (* y z)) (* t a))) (cbrt (+ (+ x (* y z)) (* t a))))
4.0ms
(* (* a z) b)

series198.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(cbrt (+ (+ x (* y z)) (* t a)))
59.0ms
(cbrt (+ (+ x (* y z)) (* t a)))
75.0ms
(* (cbrt (+ (+ x (* y z)) (* t a))) (cbrt (+ (+ x (* y z)) (* t a))))
6.0ms
(* (* a z) b)

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04361193
116411110
250011015

prune127.0ms

Filtered
72 candidates to 104 candidates (-44.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1022104
Fresh033
Picked011
Done011
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (* a (+ t (* z b))))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
4.4b
(* a (+ t (* z b)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×sum-log
4×flip3-+ flip-+
3×+-commutative associate-+r+ associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
3.0ms
(+ t (* z b))
3.0ms
(+ x (* a (+ t (* z b))))
5.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms
(* a (+ t (* z b)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ t (* z b))
20.0ms
(+ x (* a (+ t (* z b))))
27.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
13.0ms
(* a (+ t (* z b)))

simplify46.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0325392
11353363
25001363

prune67.0ms

Filtered
54 candidates to 71 candidates (-31.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New69271
Fresh044
Picked011
Done022
Total69978

Merged error: 0b

Counts
78 → 9

regimes590.0ms

Accuracy

43.6% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch60.0ms

Steps
ItersRangePoint
7
3.39050181166808e-295
1.946699352521566e-293
6.738581084887885e-294
9
-4.0518720741739714e+74
-1.6610813920307734e+68
-1.7034687129498203e+73

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04732
14732

end0.0ms

sample1.3s

Algorithm
intervals
Results
545.0ms11952×body80valid

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