Details

Time bar (total: 3.0s)

sample51.0ms

Algorithm
intervals
Results
21.0ms396×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune14.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.7b
(* (* a z) b)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
9×sum-log
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+l+ flip3-+ flip-+
1×associate-*l* *-commutative
Counts
3 → 45
Calls
3 calls:
5.0ms
(+ (+ x (* y z)) (* t a))
7.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.0ms
(* (* a z) b)

series48.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (+ x (* y z)) (* t a))
26.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
8.0ms
(* (* a z) b)

simplify41.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0281329
11444298
25001297

prune74.0ms

Filtered
54 candidates to 39 candidates (27.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52254
Fresh011
Picked011
Done000
Total52456

Merged error: 0.0b

Counts
56 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* a (+ t (* z b))))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
2.9b
(* a (+ t (* z b)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×sum-log
3×associate-+r+ flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 48
Calls
3 calls:
3.0ms
(+ x (* a (+ t (* z b))))
5.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms
(* a (+ t (* z b)))

series61.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ x (* a (+ t (* z b))))
28.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
15.0ms
(* a (+ t (* z b)))

simplify41.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0303338
11297314
25001314

prune80.0ms

Filtered
57 candidates to 43 candidates (24.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New53457
Fresh112
Picked011
Done011
Total54761

Merged error: 0b

Counts
61 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.7b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.2b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt b)
1.0ms
(cbrt b)
11.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
9.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt b)
25.0ms
(cbrt b)
9.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
25.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify44.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0308573
11316444
25001385

prune84.0ms

Filtered
86 candidates to 50 candidates (41.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh044
Picked011
Done022
Total86793

Merged error: 0b

Counts
93 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
3.4b
(cbrt (+ t (* z b)))
3.4b
(cbrt (+ t (* z b)))
3.4b
(cbrt (+ t (* z b)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
4.0ms
(cbrt (+ t (* z b)))
3.0ms
(cbrt (+ t (* z b)))
3.0ms
(cbrt (+ t (* z b)))

series117.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
30.0ms
(cbrt (+ t (* z b)))
27.0ms
(cbrt (+ t (* z b)))
28.0ms
(cbrt (+ t (* z b)))

simplify42.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0329918
11049867
25001786

prune104.0ms

Filtered
99 candidates to 72 candidates (27.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done033
Total997106

Merged error: 0b

Counts
106 → 7

regimes689.0ms

Accuracy

22.6% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.8b

bsearch21.0ms

Steps
ItersRangePoint
6
-1.757389212281331e-21
-2.7588845266142404e-22
-1.7211979679491767e-21

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03313
13313

end0.0ms

sample1.3s

Algorithm
intervals
Results
538.0ms11806×body80valid

Profiling

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