Details

Time bar (total: 4.7s)

sample26.0ms

Algorithm
intervals
Results
12.0ms334×body80valid
1.0msbody640valid
0.0msbody1280valid
0.0msbody320valid
0.0msbody160valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
0316
1926
23096
38805
416305
518725
618865
718865

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: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify118.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
05286
112075
247373
3427871
4500171

prune40.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11213
Fresh011
Picked011
Done000
Total11415

Merged error: 0.0b

Counts
15 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ y z) z) y)
0.0b
(* x (+ (+ (+ (+ y z) z) y) t))
0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b
(+ (+ y z) z)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
23×distribute-lft-out
20×add-log-exp
10×add-sqr-sqrt fma-def sum-log
add-cube-cbrt
associate-*r*
pow1 add-exp-log add-cbrt-cube
expm1-log1p-u associate-+l+ flip3-+ flip-+ log1p-expm1-u
+-commutative associate-*l*
distribute-rgt-in distribute-lft-in associate-*r/
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 89
Calls
4 calls:
9.0ms
(+ (+ (+ y z) z) y)
15.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
14.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
6.0ms
(+ (+ y z) z)

series162.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (+ (+ y z) z) y)
39.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
62.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
25.0ms
(+ (+ y z) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0402503
11821449
25001430

prune220.0ms

Filtered
101 candidates to 75 candidates (74.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh022
Picked101
Done011
Total1014105

Merged error: 0.0b

Counts
105 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma 2 z y) y)
0.0b
(* x (+ (+ (fma 2 z y) y) t))
0.0b
(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
add-sqr-sqrt
add-log-exp
add-cube-cbrt
pow1 add-exp-log associate-*r* add-cbrt-cube
fma-def distribute-lft-out
expm1-log1p-u associate-+l+ flip3-+ associate-*l* flip-+ log1p-expm1-u
+-commutative distribute-rgt-in distribute-lft-in associate-*r/ sum-log
pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 60
Calls
3 calls:
3.0ms
(+ (fma 2 z y) y)
9.0ms
(* x (+ (+ (fma 2 z y) y) t))
9.0ms
(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))

series145.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (fma 2 z y) y)
52.0ms
(* x (+ (+ (fma 2 z y) y) t))
62.0ms
(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0319361
11364337
25001331

prune167.0ms

Filtered
69 candidates to 54 candidates (78.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh022
Picked011
Done011
Total69473

Merged error: 0.0b

Counts
73 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
0.6b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
1.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

series2.2s

Counts
4 → 12
Calls
4 calls:
893.0ms
(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
446.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
450.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
448.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

simplify107.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
03721307
111601206
245331107
350011104

prune302.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New89493
Fresh011
Picked011
Done112
Total90797

Merged error: 0.0b

Counts
97 → 7

regimes149.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample716.0ms

Algorithm
intervals
Results
398.0ms10709×body80valid
15.0ms112×body640valid
15.0ms87×body1280valid
9.0ms61×body320valid
2.0ms33×body160valid

Profiling

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