Details

Time bar (total: 3.9s)

sample50.0ms

Algorithm
intervals
Results
16.0ms386×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
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 3 expressions with local error:

0.0b
(+ x (* a (+ t (* z b))))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
1.3b
(* a (+ t (* z b)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×sum-log
3×associate-+r+ flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 48
Calls
3 calls:
3.0ms
(+ x (* a (+ t (* z b))))
5.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms
(* a (+ t (* z b)))

series61.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ x (* a (+ t (* z b))))
30.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
13.0ms
(* a (+ t (* z b)))

simplify38.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0303338
11297314
25001314

prune189.0ms

Filtered
57 candidates to 43 candidates (24.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New53457
Fresh011
Picked101
Done000
Total54559

Merged error: 0.0b

Counts
59 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ x (* y z))
5.2b
(* (* a z) b)

rewrite20.0ms

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:
4.0ms
(+ (+ x (* y z)) (* t a))
7.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms
(+ x (* y z))
4.0ms
(* (* a z) b)

series53.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (+ x (* y z)) (* t a))
27.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(+ x (* y z))
6.0ms
(* (* a z) b)

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0335378
11670347
25002342

prune209.0ms

Filtered
68 candidates to 51 candidates (25.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh044
Picked011
Done000
Total68573

Merged error: 0.0b

Counts
73 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* y z) (+ x (* a (+ t (* z b))))))
1.3b
(* a (+ t (* z b)))
1.3b
(* a (+ t (* z b)))
1.3b
(* a (+ t (* z b)))

rewrite21.0ms

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)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(cbrt (+ (* y z) (+ x (* a (+ t (* z b))))))
13.0ms
(* a (+ t (* z b)))
12.0ms
(* a (+ t (* z b)))
13.0ms
(* a (+ t (* z b)))

simplify38.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0324570
11239513
25001509

prune391.0ms

Filtered
91 candidates to 66 candidates (27.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh033
Picked011
Done011
Total91596

Merged error: 0.0b

Counts
96 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (sqrt a) (* (sqrt a) (+ t (* z b)))))
0.0b
(+ (* y z) (+ x (* (sqrt a) (* (sqrt a) (+ t (* z b))))))
0.4b
(* (sqrt a) (+ t (* z b)))
0.6b
(* (sqrt a) (* (sqrt a) (+ t (* z b))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l*
11×pow1 add-exp-log add-cbrt-cube add-log-exp
9×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
7×sqrt-prod
6×associate-*r/
5×associate-+r+
4×flip3-+ associate-*r* pow-prod-down prod-exp sum-log cbrt-unprod flip-+
2×+-commutative *-commutative unswap-sqr
Counts
4 → 81
Calls
4 calls:
3.0ms
(+ x (* (sqrt a) (* (sqrt a) (+ t (* z b)))))
5.0ms
(+ (* y z) (+ x (* (sqrt a) (* (sqrt a) (+ t (* z b))))))
6.0ms
(* (sqrt a) (+ t (* z b)))
8.0ms
(* (sqrt a) (* (sqrt a) (+ t (* z b))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ x (* (sqrt a) (* (sqrt a) (+ t (* z b)))))
40.0ms
(+ (* y z) (+ x (* (sqrt a) (* (sqrt a) (+ t (* z b))))))
17.0ms
(* (sqrt a) (+ t (* z b)))
16.0ms
(* (sqrt a) (* (sqrt a) (+ t (* z b))))

simplify56.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0461692
12020599
25001590

prune438.0ms

Filtered
93 candidates to 71 candidates (23.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done022
Total93598

Merged error: 0.0b

Counts
98 → 5

regimes617.0ms

Accuracy

24% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.9b

bsearch150.0ms

Steps
ItersRangePoint
11
1.1461024905538071e-129
1.461903559415808e-108
1.782528330361042e-125
8
-2.485461758327525e-285
-9.418782546374246e-288
-2.1949070790571097e-285

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04330
14330

end0.0ms

sample1.2s

Algorithm
intervals
Results
503.0ms11788×body80valid

Profiling

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