Details

Time bar (total: 3.4s)

analyze303.0ms

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%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6%20.5%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.1%16.6%74.3%14

sample51.0ms

Algorithm
intervals
Results
10.0ms163×body80valid
10.0ms30×body640valid
9.0ms14×body1280valid
6.0ms30×body320valid
2.0ms19×body160valid
1.0ms8×body80nan

simplify189.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (187.0ms)

IterNodesCost
0537813

prune8.0ms

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: 11.6b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(* x (log y))
5.8b
(log (- 1.0 y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt log-prod
9×*-un-lft-identity
7×add-cube-cbrt
6×pow1
5×add-exp-log
4×associate-*r* add-cbrt-cube
3×distribute-rgt-in distribute-lft-in associate-*l*
2×log-div log-pow add-log-exp
1×flip3-- rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 41
Calls
2 calls:
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series10.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05034334

prune84.0ms

Filtered
31 candidates to 47 candidates (-51.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New42547
Fresh000
Picked101
Done000
Total43548

Merged error: 0.0b

Counts
48 → 5

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
0.0b
(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
0.3b
(* x (log y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
14×*-un-lft-identity
12×log-prod
11×add-cube-cbrt
9×pow1 associate-*r*
8×distribute-rgt-in distribute-lft-in
7×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*l*
5×add-log-exp
2×associate-+r+ flip3-+ associate-*r/ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×+-commutative sum-log
Counts
3 → 68
Calls
3 calls:
12.0ms
(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
5.0ms
(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
4.0ms
(* x (log y))

series46.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
24.0ms
(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
9.0ms
(* x (log y))

simplify55.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049561155
149561155

prune139.0ms

Filtered
55 candidates to 77 candidates (-40.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New73477
Fresh224
Picked011
Done000
Total75782

Merged error: 0.0b

Counts
82 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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)))
8.0ms
(+ (* 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:
21.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
22.0ms
(cbrt y)
24.0ms
(cbrt y)

simplify65.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04951620
14951620

prune145.0ms

Filtered
62 candidates to 90 candidates (-45.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87390
Fresh415
Picked101
Done011
Total92597

Merged error: 0b

Counts
97 → 5

localize26.0ms

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)))))
0.6b
(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))

series164.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(log (* (cbrt -1) (cbrt (* y -1))))
32.0ms
(* x (* 3 (log (* (cbrt -1) (cbrt (* y -1))))))
57.0ms
(* 3 (log (* (cbrt -1) (cbrt (* y -1)))))
23.0ms
(cbrt (* y -1))

simplify81.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04905351
14905351

prune116.0ms

Filtered
51 candidates to 79 candidates (-54.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh033
Picked011
Done011
Total79584

Merged error: 0b

Counts
84 → 5

regimes258.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06025
16025

end0.0ms

sample1.4s

Algorithm
intervals
Results
349.0ms5524×body80valid
289.0ms855×body640valid
283.0ms434×body1280valid
150.0ms719×body320valid
60.0ms468×body160valid
16.0ms244×body80nan
2.0ms30×body80invalid

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