Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms325×body80valid
0.0ms3×body1280valid
0.0ms3×body640valid
0.0ms2×body320valid
0.0ms2×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:
10.0ms
(* x (+ y z))
5.0ms
(+ (* x (+ y z)) (* z 5.0))

series54.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ y z))
29.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify117.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune77.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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)))
10.0ms
(* z (+ x 5.0))

series63.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (* x y) (* z (+ x 5.0)))
34.0ms
(* z (+ x 5.0))

simplify128.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0209182
1941168
24791168
35002168

prune79.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ y z)) (cbrt (+ y z)))
0.6b
(cbrt (+ y z))
0.6b
(cbrt (+ y z))
0.6b
(cbrt (+ y z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
20.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
2.0ms
(cbrt (+ y z))
2.0ms
(cbrt (+ y z))
2.0ms
(cbrt (+ y z))

series547.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
127.0ms
(cbrt (+ y z))
127.0ms
(cbrt (+ y z))
129.0ms
(cbrt (+ y z))

simplify141.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0247671
1887634
24204580
35002576

prune261.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.2b
(* z (sqrt (+ x 5.0)))
0.3b
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite43.0ms

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))))
14.0ms
(* z (sqrt (+ x 5.0)))
24.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series120.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
59.0ms
(* z (sqrt (+ x 5.0)))
32.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0362548
11700457
25001444

prune144.0ms

Filtered
75 candidates to 46 candidates (61.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes63.0ms

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

sample434.0ms

Algorithm
intervals
Results
212.0ms9788×body80valid
12.0ms116×body640valid
11.0ms117×body1280valid
3.0ms56×body320valid
1.0ms33×body160valid