Details

Time bar (total: 3.4s)

sample32.0ms

Algorithm
intervals
Results
16.0ms362×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune7.0ms

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
(+ (* y z) (+ x (* a (+ t (* z b)))))
0.0b
(+ t (* z b))
0.0b
(+ x (* a (+ t (* z b))))
2.9b
(* a (+ t (* z b)))

rewrite20.0ms

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

series223.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
24.0ms
(+ t (* z b))
64.0ms
(+ x (* a (+ t (* z b))))
52.0ms
(* a (+ t (* z b)))

simplify42.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325392
11353363
25002363

prune154.0ms

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

localize10.0ms

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))
6.6b
(* (* a z) b)

rewrite21.0ms

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)

series171.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (+ x (* y z)) (* t a))
23.0ms
(+ x (* y z))
78.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms
(* (* a z) b)

simplify53.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0335378
11670347
25002342

prune137.0ms

Filtered
68 candidates to 51 candidates (75.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh044
Picked011
Done011
Total68674

Merged error: 0.0b

Counts
74 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* y z) (+ x (* a (+ t (* z b))))))
2.9b
(* a (+ t (* z b)))
2.9b
(* a (+ t (* z b)))
2.9b
(* a (+ t (* z b)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log add-cbrt-cube
9×associate-*r* associate-*l*
6×associate-*r/
4×flip3-+ flip-+ add-log-exp
3×cbrt-prod distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×pow1/3
Counts
4 → 79
Calls
4 calls:
4.0ms
(cbrt (+ (* y z) (+ x (* a (+ t (* z b))))))
5.0ms
(* a (+ t (* z b)))
5.0ms
(* a (+ t (* z b)))
5.0ms
(* a (+ t (* z b)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ (* y z) (+ x (* a (+ t (* z b))))))
51.0ms
(* a (+ t (* z b)))
54.0ms
(* a (+ t (* z b)))
56.0ms
(* a (+ t (* z b)))

simplify42.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0323561
11213503
25001497

prune261.0ms

Filtered
91 candidates to 66 candidates (72.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New90191
Fresh123
Picked011
Done022
Total91697

Merged error: 0.0b

Counts
97 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
12×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
8×associate-*r/
4×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
4 → 88
Calls
4 calls:
5.0ms
(* a (+ t (* z b)))
6.0ms
(* a (+ t (* z b)))
5.0ms
(* a (+ t (* z b)))
5.0ms
(* a (+ t (* z b)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* a (+ t (* z b)))
54.0ms
(* a (+ t (* z b)))
54.0ms
(* a (+ t (* z b)))
52.0ms
(* a (+ t (* z b)))

simplify74.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0143456
1654400
22819400
35001400

prune303.0ms

Filtered
100 candidates to 68 candidates (68.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1000100
Fresh022
Picked011
Done033
Total1006106

Merged error: 0.0b

Counts
106 → 6

regimes249.0ms

Accuracy

79.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.9b

bsearch78.0ms

Steps
ItersRangePoint
9
3.5985928023308337e+78
1.1597676827790319e+87
4.410984355065837e+78
3
-2.71265646631387e+106
-1.8512246753411128e+106
-2.2281010838916943e+106

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03913
13913

end0.0ms

sample942.0ms

Algorithm
intervals
Results
538.0ms11826×body80valid