Details

Time bar (total: 3.6s)

sample28.0ms

Algorithm
intervals
Results
13.0ms367×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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.9b
(* (* a z) b)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
7×sum-log
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ flip-+
1×associate-+l+ associate-*l* *-commutative
Counts
3 → 43
Calls
3 calls:
2.0ms
(+ x (* y z))
8.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(* (* a z) b)

series128.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ x (* y z))
80.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms
(* (* a z) b)

simplify40.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0277290
11317254
25001249

prune126.0ms

Filtered
52 candidates to 38 candidates (73.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50252
Fresh011
Picked011
Done000
Total50454

Merged error: 0.0b

Counts
54 → 4

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)))))
2.0b
(* 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))))
3.0ms
(+ t (* z b))
6.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms
(* a (+ t (* z b)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ x (* a (+ t (* z b))))
25.0ms
(+ t (* z b))
84.0ms
(+ (* 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

prune172.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New69271
Fresh202
Picked011
Done011
Total71475

Merged error: 0.0b

Counts
75 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
2.5b
(cbrt (+ t (* z b)))
2.5b
(cbrt (+ t (* z b)))
2.5b
(cbrt (+ t (* z b)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
108.0ms
(cbrt (+ t (* z b)))
107.0ms
(cbrt (+ t (* z b)))
107.0ms
(cbrt (+ t (* z b)))

simplify139.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0303872
11042820
24602751
35001740

prune328.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done022
Total994103

Merged error: 0.0b

Counts
103 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* y z) (+ x (* a (+ t (* z b))))))
2.0b
(* a (+ t (* z b)))
2.0b
(* a (+ t (* z b)))
2.0b
(* 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)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (+ (* y z) (+ x (* a (+ t (* z b))))))
52.0ms
(* a (+ t (* z b)))
55.0ms
(* a (+ t (* z b)))
55.0ms
(* a (+ t (* z b)))

simplify40.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0323561
11213503
25001497

prune271.0ms

Filtered
91 candidates to 66 candidates (72.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New91091
Fresh000
Picked011
Done033
Total91495

Merged error: 0.0b

Counts
95 → 4

regimes181.0ms

Accuracy

72.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.0b

bsearch105.0ms

Steps
ItersRangePoint
9
1.5174736354932313e-77
1.9766524495519856e-68
1.1716884664973314e-69
9
-1.626210387000616e+143
-1.1369506945414629e+136
-7.094411223807119e+137

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03913
13913

end0.0ms

sample867.0ms

Algorithm
intervals
Results
457.0ms11787×body80valid