Details

Time bar (total: 1.9s)

sample29.0ms

Algorithm
intervals
Results
9.0ms322×body80valid
0.0ms4×body640valid
0.0ms3×body320valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
5.0ms
(* x (+ y z))
6.0ms
(+ (* x (+ y z)) (* z 5.0))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
7.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune55.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New37542
Fresh000
Picked101
Done000
Total38543

Merged error: 0.0b

Counts
43 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ (* x y) (* z (+ x 5.0)))
5.0ms
(* z (+ x 5.0))

series14.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* x y) (* z (+ x 5.0)))
5.0ms
(* z (+ x 5.0))

simplify125.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0209182
1941168
24791168
35002168

prune62.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New38442
Fresh224
Picked011
Done000
Total40747

Merged error: 0b

Counts
47 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
0.6b
(cbrt (* z (+ x 5.0)))
0.6b
(cbrt (* z (+ x 5.0)))
0.6b
(cbrt (* z (+ x 5.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
4.0ms
(cbrt (* z (+ x 5.0)))
4.0ms
(cbrt (* z (+ x 5.0)))
4.0ms
(cbrt (* z (+ x 5.0)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
19.0ms
(cbrt (* z (+ x 5.0)))
17.0ms
(cbrt (* z (+ x 5.0)))
17.0ms
(cbrt (* z (+ x 5.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0414950
11433874
25001812

prune212.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done011
Total84791

Merged error: 0b

Counts
91 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.6b
(* z (- (* x x) (* 5.0 5.0)))
6.1b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×associate-*r/ associate-*r*
3×flip3-- associate-*l* flip-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 65
Calls
3 calls:
7.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
6.0ms
(* z (- (* x x) (* 5.0 5.0)))
9.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series40.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
10.0ms
(* z (- (* x x) (* 5.0 5.0)))
16.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0397570
11864498
25001464

prune79.0ms

Filtered
53 candidates to 74 candidates (-39.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh134
Picked101
Done022
Total75681

Merged error: 0b

Counts
81 → 6

regimes264.0ms

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
0124
1124

end0.0ms

sample652.0ms

Algorithm
intervals
Results
259.0ms9812×body80valid
13.0ms111×body1280valid
9.0ms99×body640valid
4.0ms53×body320valid
2.0ms34×body160valid

Profiling

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