Details

Time bar (total: 3.0s)

sample45.0ms

Algorithm
intervals
Results
17.0ms387×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune13.0ms

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

localize12.0ms

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))
2.9b
(* a (+ t (* z b)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
sum-log
flip3-+ flip-+
+-commutative associate-+r+ associate-*r* associate-*l*
distribute-rgt-in distribute-lft-in associate-*r/
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)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ x (* a (+ t (* z b))))
27.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
6.0ms
(+ t (* z b))
13.0ms
(* a (+ t (* z b)))

simplify44.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325392
11353363
25001363

prune80.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New69271
Fresh011
Picked011
Done000
Total69473

Merged error: 0.0b

Counts
73 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.6b
(* (* a z) b)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
5.0ms
(+ (+ x (* y z)) (* t a))
2.0ms
(+ x (* y z))
7.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.0ms
(* (* a z) b)

series53.0ms

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

simplify49.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0335378
11670347
25002342

prune76.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New66268
Fresh112
Picked011
Done011
Total67572

Merged error: 0.0b

Counts
72 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

2.9b
(* a (+ t (* z b)))
5.2b
(cbrt (* a (+ t (* z b))))
5.2b
(cbrt (* a (+ t (* z b))))
5.2b
(cbrt (* a (+ t (* z b))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt associate-*r/
pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
flip3-+ flip-+ add-log-exp
cbrt-prod pow1/3 associate-*r* associate-*l*
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 55
Calls
4 calls:
5.0ms
(* a (+ t (* z b)))
4.0ms
(cbrt (* a (+ t (* z b))))
4.0ms
(cbrt (* a (+ t (* z b))))
4.0ms
(cbrt (* a (+ t (* z b))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* a (+ t (* z b)))
32.0ms
(cbrt (* a (+ t (* z b))))
30.0ms
(cbrt (* a (+ t (* z b))))
30.0ms
(cbrt (* a (+ t (* z b))))

simplify90.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0238438
1922397
23665382
35001373

prune93.0ms

Filtered
56 candidates to 67 candidates (-19.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New66167
Fresh022
Picked011
Done022
Total66672

Merged error: 0b

Counts
72 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
0.7b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
5.2b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r*
add-log-exp
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)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt b)
21.0ms
(cbrt b)
11.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
24.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify43.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0308573
11316444
25001385

prune60.0ms

Filtered
50 candidates to 86 candidates (-72.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New86086
Fresh022
Picked011
Done033
Total86692

Merged error: 0b

Counts
92 → 6

regimes673.0ms

Accuracy

88.6% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03927
13927

end0.0ms

sample1.3s

Algorithm
intervals
Results
541.0ms11783×body80valid

Profiling

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