Details

Time bar (total: 1.7s)

sample21.0ms

Algorithm
intervals
Results
8.0ms306×body80valid
1.0ms6×body640valid
0.0ms3×body1280valid
0.0ms1×body320valid

simplify7.0ms

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

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:
6.0ms
(+ (* x (+ y z)) (* z 5.0))
6.0ms
(* x (+ y z))

series17.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x (+ y z)) (* z 5.0))
6.0ms
(* x (+ y z))

simplify114.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0212186
1877169
24187168
35001168

prune49.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New38442
Fresh000
Picked101
Done000
Total39443

Merged error: 0.0b

Counts
43 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (+ x 5.0))
0.0b
(+ (* x y) (* 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:
5.0ms
(* z (+ x 5.0))
4.0ms
(+ (* x y) (* z (+ x 5.0)))

series12.0ms

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

simplify126.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0209182
1941168
24786168
35001168

prune53.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh303
Picked011
Done000
Total42446

Merged error: 0.0b

Counts
46 → 4

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:
24.0ms
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
17.0ms
(cbrt (* z (+ x 5.0)))
19.0ms
(cbrt (* z (+ x 5.0)))
17.0ms
(cbrt (* z (+ x 5.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0414950
11433874
25001812

prune207.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh022
Picked011
Done011
Total83588

Merged error: 0b

Counts
88 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.3b
(* z (sqrt (+ x 5.0)))
0.3b
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*r*
12×add-sqr-sqrt *-un-lft-identity
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
9×sqrt-prod
8×add-cube-cbrt flip3-+ flip-+
5×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative distribute-lft-out unswap-sqr
1×+-commutative sum-log
Counts
3 → 66
Calls
3 calls:
3.0ms
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
7.0ms
(* z (sqrt (+ x 5.0)))
11.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
11.0ms
(* z (sqrt (+ x 5.0)))
5.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0403568
11889483
25001472

prune94.0ms

Filtered
47 candidates to 75 candidates (-59.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New74175
Fresh112
Picked101
Done022
Total76480

Merged error: 0b

Counts
80 → 4

regimes143.0ms

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

sample564.0ms

Algorithm
intervals
Results
258.0ms9729×body80valid
15.0ms128×body1280valid
14.0ms123×body640valid
4.0ms63×body320valid
2.0ms32×body160valid

Profiling

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