Details

Time bar (total: 3.7s)

sample36.0ms

Algorithm
intervals
Results
18.0ms404×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize14.0ms

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)))))
2.2b
(* 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)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ t (* z b))
68.0ms
(+ x (* a (+ t (* z b))))
87.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
53.0ms
(* a (+ t (* z b)))

simplify45.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0325392
11353363
25001363

prune162.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New67471
Fresh011
Picked011
Done000
Total67673

Merged error: 0.0b

Counts
73 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

2.2b
(* a (+ t (* z b)))
4.7b
(cbrt (* a (+ t (* z b))))
4.7b
(cbrt (* a (+ t (* z b))))
4.7b
(cbrt (* a (+ t (* z b))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-+ flip-+ add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
1×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))))

series400.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* a (+ t (* z b)))
114.0ms
(cbrt (* a (+ t (* z b))))
114.0ms
(cbrt (* a (+ t (* z b))))
115.0ms
(cbrt (* a (+ t (* z b))))

simplify97.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0235426
1891385
23513373
35001367

prune215.0ms

Filtered
67 candidates to 56 candidates (83.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh044
Picked011
Done011
Total67673

Merged error: 0.0b

Counts
73 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

2.2b
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
2.6b
(cbrt (+ t (* z b)))
2.6b
(cbrt (+ t (* z b)))
2.6b
(cbrt (+ t (* z b)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 86
Calls
4 calls:
19.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
3.0ms
(cbrt (+ t (* z b)))

series383.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
106.0ms
(cbrt (+ t (* z b)))
110.0ms
(cbrt (+ t (* z b)))
110.0ms
(cbrt (+ t (* z b)))

simplify110.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
04371143
112401039
24398941
35001922

prune281.0ms

Filtered
98 candidates to 73 candidates (74.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh033
Picked011
Done022
Total986104

Merged error: 0.0b

Counts
104 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
7.0b
(* (* a z) b)

rewrite19.0ms

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

series151.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
47.0ms
(+ (+ x (* y z)) (* t a))
26.0ms
(* (* a z) b)

simplify52.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0281329
11444298
25001297

prune100.0ms

Filtered
54 candidates to 39 candidates (72.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New54054
Fresh022
Picked011
Done033
Total54660

Merged error: 0.0b

Counts
60 → 6

regimes293.0ms

Accuracy

88.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.7b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03927
13927

end0.0ms

sample943.0ms

Algorithm
intervals
Results
545.0ms11852×body80valid

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