Details

Time bar (total: 4.3s)

sample29.0ms

Algorithm
intervals
Results
13.0ms374×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune6.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* a (+ t (* z b))))
0.0b
(+ t (* z b))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
2.3b
(* 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
(+ x (* a (+ t (* z b))))
3.0ms
(+ t (* z b))
5.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms
(* a (+ t (* z b)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(+ x (* a (+ t (* z b))))
24.0ms
(+ t (* z b))
85.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
56.0ms
(* a (+ t (* z b)))

simplify42.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325392
11353363
25001363

prune364.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.3b
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
1.4b
(* (cbrt a) (+ t (* z b)))

rewrite21.0ms

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)
11.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
6.0ms
(* (cbrt a) (+ t (* z b)))

series652.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt a)
168.0ms
(cbrt a)
82.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
232.0ms
(* (cbrt a) (+ t (* z b)))

simplify55.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0334575
11541439
25001392

prune235.0ms

Filtered
88 candidates to 60 candidates (68.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New86288
Fresh044
Picked101
Done011
Total87794

Merged error: 0b

Counts
94 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.3b
(* (* (cbrt a) (cbrt a)) (* (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))) (+ t (* z b))))
1.4b
(* (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))) (+ t (* z b)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1 add-exp-log
30×pow-prod-down prod-exp cbrt-unprod
25×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*r/
5×distribute-rgt-in distribute-lft-in
4×associate-*r* add-log-exp
2×flip3-+ pow1/3 associate-*l* *-commutative flip-+
Counts
4 → 87
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
20.0ms
(* (* (cbrt a) (cbrt a)) (* (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))) (+ t (* z b))))
14.0ms
(* (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))) (+ t (* z b)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt a)
171.0ms
(cbrt a)
82.0ms
(* (* (cbrt a) (cbrt a)) (* (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))) (+ t (* z b))))
222.0ms
(* (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))) (+ t (* z b)))

simplify78.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
04351329
12393811
25002564

prune255.0ms

Filtered
99 candidates to 57 candidates (57.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh055
Picked011
Done011
Total997106

Merged error: 0b

Counts
106 → 7

localize10.0ms

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))
4.9b
(* (* 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:
8.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(+ (+ x (* y z)) (* t a))
5.0ms
(* (* a z) b)

series150.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
46.0ms
(+ (+ x (* y z)) (* t a))
25.0ms
(* (* a z) b)

simplify44.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0281329
11444298
25001297

prune121.0ms

Filtered
54 candidates to 39 candidates (72.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New51354
Fresh314
Picked011
Done022
Total54761

Merged error: 0b

Counts
61 → 7

regimes273.0ms

Accuracy

50.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.0b

bsearch61.0ms

Steps
ItersRangePoint
9
-1206.3345481517715
-0.00047387465689648745
-29.568866138377945

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03313
13313

end0.0ms

sample831.0ms

Algorithm
intervals
Results
435.0ms11759×body80valid