Details

Time bar (total: 3.8s)

sample35.0ms

Algorithm
intervals
Results
17.0ms405×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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

series153.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (+ x (* y z)) (* t a))
83.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms
(* (* a z) b)

simplify48.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0281329
11444298
25001297

prune115.0ms

Filtered
54 candidates to 39 candidates (72.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New50454
Fresh011
Picked011
Done000
Total50656

Merged error: 0.0b

Counts
56 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
0.0b
(+ x (* a (+ t (* z b))))
2.0b
(* 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))
5.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
3.0ms
(+ x (* a (+ t (* z b))))
5.0ms
(* a (+ t (* z b)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ t (* z b))
85.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
69.0ms
(+ x (* a (+ t (* z b))))
61.0ms
(* a (+ t (* z b)))

simplify42.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325392
11353363
25002363

prune147.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69271
Fresh224
Picked011
Done011
Total71677

Merged error: 0.0b

Counts
77 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.3b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.9b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt b)
1.0ms
(cbrt b)
12.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
9.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series484.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt b)
167.0ms
(cbrt b)
46.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
101.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify49.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0258535
11318385
25001337

prune187.0ms

Filtered
86 candidates to 54 candidates (62.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh033
Picked011
Done022
Total86692

Merged error: 0.0b

Counts
92 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.2b
(* (cbrt a) (+ t (* z b)))
1.3b
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

rewrite22.0ms

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)
6.0ms
(* (cbrt a) (+ t (* z b)))
12.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

series671.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt a)
178.0ms
(cbrt a)
230.0ms
(* (cbrt a) (+ t (* z b)))
84.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

simplify59.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0334575
11539439
25001392

prune202.0ms

Filtered
88 candidates to 60 candidates (68.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New88088
Fresh022
Picked011
Done033
Total88694

Merged error: 0.0b

Counts
94 → 6

regimes231.0ms

Accuracy

45.8% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.4b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03320
13320

end0.0ms

sample931.0ms

Algorithm
intervals
Results
528.0ms11790×body80valid