Details

Time bar (total: 2.7s)

sample45.0ms

Algorithm
intervals
Results
21.0ms408×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 2 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.1b
(* (* a z) b)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
7×pow1 add-exp-log add-cbrt-cube
6×sum-log
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative associate-+l+ flip3-+ associate-*l* *-commutative flip-+
Counts
2 → 32
Calls
2 calls:
7.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.0ms
(* (* a z) b)

series33.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(* (* a z) b)

simplify33.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0213236
11068205
25002204

prune55.0ms

Filtered
26 candidates to 38 candidates (-46.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35338
Fresh011
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

6.1b
(* (* a z) b)
12.7b
(cbrt (* (* a z) b))
12.7b
(cbrt (* (* a z) b))
12.7b
(cbrt (* (* a z) b))

rewrite16.0ms

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))
4.0ms
(cbrt (* (* a z) b))
3.0ms
(cbrt (* (* a z) b))

series70.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* a z) b)
22.0ms
(cbrt (* (* a z) b))
21.0ms
(cbrt (* (* a z) b))
21.0ms
(cbrt (* (* a z) b))

simplify72.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0184304
1742268
23451247
35002217

prune76.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh033
Picked011
Done011
Total57562

Merged error: 0.0b

Counts
62 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* a (+ t (* z b))))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
0.0b
(+ t (* z b))
3.4b
(* a (+ t (* z b)))

rewrite16.0ms

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
(+ x (* a (+ t (* z b))))
5.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
2.0ms
(+ t (* z b))
5.0ms
(* a (+ t (* z b)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ x (* a (+ t (* z b))))
28.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
6.0ms
(+ t (* z b))
12.0ms
(* a (+ t (* z b)))

simplify43.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325392
11353363
25001363

prune92.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New68371
Fresh112
Picked101
Done022
Total70676

Merged error: 0.0b

Counts
76 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
3.9b
(cbrt (+ t (* z b)))
3.9b
(cbrt (+ t (* z b)))
3.9b
(cbrt (+ t (* z b)))

rewrite18.0ms

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))))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series117.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0329918
11049867
25001786

prune107.0ms

Filtered
72 candidates to 99 candidates (-37.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done022
Total996105

Merged error: 0.0b

Counts
105 → 6

regimes638.0ms

Accuracy

72.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.9b

bsearch42.0ms

Steps
ItersRangePoint
4
3.7118122141800755e-90
5.820140594186326e-90
3.893358381216353e-90
7
-7.006611376347269e-27
-4.731632183286201e-29
-6.5436269442142765e-28

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04318
14318

end0.0ms

sample1.1s

Algorithm
intervals
Results
558.0ms11900×body80valid

Profiling

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