Details

Time bar (total: 2.5s)

analyze290.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms15×body80invalid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (- 1.0 x) z))
0.0b
(* (- 1.0 x) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ (* x y) (* (- 1.0 x) z))
6.0ms
(* (- 1.0 x) z)

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x y) (* (- 1.0 x) z))
5.0ms
(* (- 1.0 x) z)

simplify97.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune52.0ms

Filtered
28 candidates to 39 candidates (-39.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0b

Counts
40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.5b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.5b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.5b
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
12.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))

series200.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
42.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
46.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
68.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03081289
110381210
250011108

prune212.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done011
Total994103

Merged error: 0b

Counts
103 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
0.1b
(* (sqrt (- 1.0 x)) z)
0.1b
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt associate-*l*
14×sqrt-div
12×*-un-lft-identity
11×sqrt-prod
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
8×add-cube-cbrt
7×flip3-- flip--
5×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 68
Calls
3 calls:
3.0ms
(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
7.0ms
(* (sqrt (- 1.0 x)) z)
12.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

series26.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
14.0ms
(* (sqrt (- 1.0 x)) z)
5.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

simplify44.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0401575
11460497
25001485

prune104.0ms

Filtered
51 candidates to 77 candidates (-51.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done022
Total77481

Merged error: 0b

Counts
81 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (cbrt (pow (* (- 1.0 x) z) 3)))
0.0b
(* (- 1.0 x) z)
0.1b
(pow (* (- 1.0 x) z) 3)
36.5b
(cbrt (pow (* (- 1.0 x) z) 3))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×associate-*l/ add-log-exp
5×associate-*l*
4×cube-div
3×pow-unpow flip3-- associate-*r* flip--
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp flip3-+ pow1/3 sum-log *-commutative rem-cbrt-cube flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 76
Calls
4 calls:
5.0ms
(+ (* x y) (cbrt (pow (* (- 1.0 x) z) 3)))
6.0ms
(* (- 1.0 x) z)
6.0ms
(pow (* (- 1.0 x) z) 3)
3.0ms
(cbrt (pow (* (- 1.0 x) z) 3))

series29.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x y) (cbrt (pow (* (- 1.0 x) z) 3)))
4.0ms
(* (- 1.0 x) z)
8.0ms
(pow (* (- 1.0 x) z) 3)
7.0ms
(cbrt (pow (* (- 1.0 x) z) 3))

simplify49.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0336437
11573393
25002392

prune105.0ms

Filtered
60 candidates to 88 candidates (-46.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done033
Total88492

Merged error: 0b

Counts
92 → 4

regimes194.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

analyze318.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14

sample586.0ms

Algorithm
intervals
Results
408.0ms8000×body80valid
17.0ms638×body80invalid

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