Details

Time bar (total: 7.2s)

sample15.0ms

Algorithm
intervals
Results
5.0ms240×body80valid
1.0ms6×body1280valid
0.0ms5×body640valid
0.0ms5×body320valid
0.0ms1×body160valid

simplify304.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0205
1644
22034
33274
43394
53454
64134
75164
85614
97004
109094
1112714
1239214
1350014

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 2 (+ x y)) (+ x z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
5×flip3-+ flip-+
4×associate-*r/ frac-add
3×sum-log
2×associate-+l+
1×pow1 add-exp-log +-commutative distribute-rgt-in add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity distribute-lft-in add-cbrt-cube
Counts
1 → 19
Calls
1 calls:
9.0ms
(+ (* 2 (+ x y)) (+ x z))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(+ (* 2 (+ x y)) (+ x z))

simplify34.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0275199
11174190
25001185

prune57.0ms

Filtered
22 candidates to 17 candidates (77.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.5b
(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b
(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b
(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
85×flip3-+ flip-+
74×associate-*r/
68×frac-add
36×frac-times
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l* associate-*l/
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
20.0ms
(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
7.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
331.0ms
(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
254.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
253.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
258.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05063272
120143193
250013127

prune523.0ms

Filtered
151 candidates to 109 candidates (72.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b
(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.5b
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
156×cbrt-div
85×flip3-+ flip-+
74×associate-*r/
68×frac-add
36×frac-times
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 111
Calls
4 calls:
8.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
24.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
9.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

series1.3s

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
251.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
455.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
356.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify67.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
06213180
117083120
250023110

prune777.0ms

Filtered
123 candidates to 98 candidates (79.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.5b
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.5b
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.5b
(* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
204×cbrt-div
85×flip3-+ flip-+
81×cbrt-prod
74×associate-*r/
68×frac-add
40×add-sqr-sqrt
36×frac-times
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log associate-*l/
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 162
Calls
4 calls:
8.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
8.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
9.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
23.0ms
(* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
346.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
346.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
350.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
443.0ms
(* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05524067
120463974
250033866

prune671.0ms

Filtered
174 candidates to 124 candidates (71.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

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

sample381.0ms

Algorithm
intervals
Results
166.0ms7425×body80valid
17.0ms181×body1280valid
15.0ms188×body640valid
11.0ms133×body320valid
5.0ms40×body2560valid
2.0ms48×body160valid