Details

Time bar (total: 3.0s)

analyze253.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%49.9%50.1%5
0%43.7%56.3%6
0%34.3%65.7%7
3.1%31.2%65.7%8
3.5%27.7%68.8%9
5.3%24.4%70.4%10
7.5%19.8%72.7%11
11.1%16.2%72.7%12
11.3%15.3%73.5%13
13.2%13%73.9%14

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
1.0ms12×body80nan
0.0ms1×body80invalid

simplify185.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (183.0ms)

IterNodesCost
0635911

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log y)) y)
0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.3b
(* x (log y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod
20×*-un-lft-identity
19×associate--l+
14×add-sqr-sqrt
12×add-cube-cbrt
11×add-log-exp
9×distribute-rgt-in distribute-lft-in
8×pow1 associate-+l+
5×add-exp-log add-cbrt-cube
4×diff-log associate-*r* distribute-lft-out
3×sub-neg associate-+r+ associate-*l* sum-log log-pow
2×distribute-lft-out--
1×+-commutative associate-+l- flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
3 → 71
Calls
3 calls:
4.0ms
(- (* x (log y)) y)
11.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(* x (log y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (* x (log y)) y)
13.0ms
(+ (- (- (* x (log y)) y) z) (log t))
7.0ms
(* x (log y))

simplify67.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04928727
14928727

prune103.0ms

Filtered
57 candidates to 80 candidates (-40.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73780
Fresh000
Picked011
Done000
Total73881

Merged error: 0.0b

Counts
81 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
18×cbrt-prod add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in associate-+r+ distribute-lft-in
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 78
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series87.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
21.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify63.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04951620
14951620

prune114.0ms

Filtered
60 candidates to 90 candidates (-50.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New87390
Fresh426
Picked101
Done011
Total92698

Merged error: 0b

Counts
98 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (* (cbrt -1) (cbrt (* y -1))))
0.3b
(* x (* 3 (log (* (cbrt -1) (cbrt (* y -1))))))
0.3b
(* 3 (log (* (cbrt -1) (cbrt (* y -1)))))
0.5b
(cbrt (* y -1))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
14×add-exp-log
11×add-cbrt-cube
9×add-sqr-sqrt
8×pow-prod-down
7×add-cube-cbrt log-prod *-un-lft-identity associate-*r*
6×associate-*l* log-pow
5×distribute-rgt-in distribute-lft-in pow1/3 prod-exp
4×cbrt-unprod add-log-exp
2×rem-log-exp *-commutative
1×cbrt-prod unswap-sqr
Counts
4 → 67
Calls
4 calls:
4.0ms
(log (* (cbrt -1) (cbrt (* y -1))))
8.0ms
(* x (* 3 (log (* (cbrt -1) (cbrt (* y -1))))))
7.0ms
(* 3 (log (* (cbrt -1) (cbrt (* y -1)))))
2.0ms
(cbrt (* y -1))

series162.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(log (* (cbrt -1) (cbrt (* y -1))))
33.0ms
(* x (* 3 (log (* (cbrt -1) (cbrt (* y -1))))))
54.0ms
(* 3 (log (* (cbrt -1) (cbrt (* y -1)))))
25.0ms
(cbrt (* y -1))

simplify79.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04905351
14905351

prune102.0ms

Filtered
50 candidates to 79 candidates (-58.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New78179
Fresh134
Picked011
Done011
Total79685

Merged error: 0b

Counts
85 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))) (* x (log (cbrt (sqrt y)))))
0.5b
(cbrt y)
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
18×associate-+r+ log-prod
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×sqrt-prod
10×distribute-rgt-in distribute-lft-in
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×associate-+l+
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
4 → 71
Calls
4 calls:
12.0ms
(+ (* x (+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))) (* x (log (cbrt (sqrt y)))))
1.0ms
(cbrt y)
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series91.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* x (+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))) (* x (log (cbrt (sqrt y)))))
21.0ms
(cbrt y)
15.0ms
(cbrt (sqrt y))
15.0ms
(cbrt (sqrt y))

simplify71.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04854830
14854830

prune94.0ms

Filtered
60 candidates to 83 candidates (-38.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh123
Picked011
Done022
Total83689

Merged error: 0b

Counts
89 → 6

regimes574.0ms

Accuracy

0% (0.1b 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 (1.0ms)

IterNodesCost
03011
13011

end0.0ms

sample712.0ms

Algorithm
intervals
Results
466.0ms8000×body80valid
14.0ms334×body80nan
2.0ms31×body80invalid

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