Details

Time bar (total: 5.3s)

analyze1.5s

Algorithm
search

sample35.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
6.0ms125×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

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))
0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.5b
(* (* a z) b)

rewrite22.0ms

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:
5.0ms
(+ (+ x (* y z)) (* t a))
3.0ms
(+ x (* y z))
8.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(* (* a z) b)

series56.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (+ 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)

simplify48.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0335378
11670347
25002342

prune81.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New66268
Fresh011
Picked011
Done000
Total66470

Merged error: 0.0b

Counts
70 → 4

localize10.0ms

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))
2.7b
(* a (+ t (* z b)))

rewrite18.0ms

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)))))
3.0ms
(+ t (* z b))
5.0ms
(* a (+ t (* z b)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ x (* a (+ t (* z b))))
27.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
6.0ms
(+ t (* z b))
15.0ms
(* a (+ t (* z b)))

simplify43.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325392
11353363
25001363

prune87.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69271
Fresh022
Picked011
Done011
Total69675

Merged error: 0.0b

Counts
75 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (* y z)))
0.6b
(cbrt (+ x (* y z)))
0.6b
(cbrt (+ x (* y z)))
5.5b
(* (* a z) b)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×add-log-exp
3×flip3-+ pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
1×associate-*l* *-commutative
Counts
4 → 57
Calls
4 calls:
2.0ms
(cbrt (+ x (* y z)))
2.0ms
(cbrt (+ x (* y z)))
2.0ms
(cbrt (+ x (* y z)))
5.0ms
(* (* a z) b)

series90.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (+ x (* y z)))
29.0ms
(cbrt (+ x (* y z)))
27.0ms
(cbrt (+ x (* y z)))
6.0ms
(* (* a z) b)

simplify111.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0271466
1944430
24692397
35001382

prune85.0ms

Filtered
52 candidates to 69 candidates (-32.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh033
Picked011
Done022
Total69675

Merged error: 0.0b

Counts
75 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.0b
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
2.1b
(* (cbrt a) (+ t (* z b)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in
4×associate-*r* add-log-exp
2×flip3-+ pow1/3 *-commutative flip-+ unswap-sqr
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
10.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
6.0ms
(* (cbrt a) (+ t (* z b)))

series116.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
22.0ms
(cbrt a)
17.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
55.0ms
(* (cbrt a) (+ t (* z b)))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0352624
11487476
25001402

prune71.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New88088
Fresh022
Picked011
Done033
Total88694

Merged error: 0.0b

Counts
94 → 6

regimes582.0ms

Accuracy

76% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03927
13927

end0.0ms

analyze1.3s

Algorithm
search

sample933.0ms

Algorithm
intervals
Results
370.0ms8000×body80valid
185.0ms3900×body80invalid

Profiling

Loading profile data...