Details

Time bar (total: 4.2s)

analyze346.0ms (8.2%)

Algorithm
1×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
6.1%20.4%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.2%16.6%74.3%14

sample49.0ms (1.2%)

Algorithm
1×intervals
Results
16.0ms195×body80valid
8.0ms21×body640valid
4.0ms5×body1280valid
4.0ms17×body320valid
3.0ms18×body160valid
1.0ms15×body80nan
0.0ms4×body80invalid

simplify103.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
0521017

prune9.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 5.0b

Counts
2 → 1

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
4.8b
(log (- 1.0 y))

rewrite23.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
11×log-prod
8×add-cube-cbrt add-log-exp
7×pow1
6×add-exp-log
5×associate-*l* add-cbrt-cube
4×associate-*r*
3×distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out-- difference-of-squares
2×log-div diff-log associate-*l/ log-pow
1×sub-neg rem-log-exp pow-prod-down prod-exp associate--l+ sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 60
Calls

3 calls:

11.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series52.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

35.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
12.0ms
(* (- x 1.0) (log y))
5.0ms
(log (- 1.0 y))

simplify38.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04929867
14929867

prune185.0ms (4.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New591069
Fresh000
Picked101
Done000
Total601070

Merged error: 0.0b

Counts
70 → 10

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
0.0b
(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
0.1b
(* (- x 1.0) (log y))

rewrite50.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
24×associate-*l/
22×add-sqr-sqrt
21×*-un-lft-identity
19×flip3-- flip--
16×frac-add
12×frac-times add-cube-cbrt log-prod
11×add-log-exp
10×pow1 flip3-+ associate-*l* flip-+
9×associate-*r*
8×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
6×associate-+l+ associate-*r/
3×distribute-lft-out-- difference-of-squares
2×associate-+r+ diff-log pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative sub-neg associate--l+
Counts
4 → 111
Calls

4 calls:

15.0ms
(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
14.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
10.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
7.0ms
(* (- x 1.0) (log y))

series108.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

54.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
33.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
11.0ms
(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
10.0ms
(* (- x 1.0) (log y))

simplify63.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049834006
149834006

prune425.0ms (10.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh189
Picked011
Done000
Total12211133

Merged error: 0.0b

Counts
133 → 11

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y))))) t)
0.1b
(* (- x 1.0) (log y))
2.5b
(log (- (* 1.0 1.0) (* y y)))
4.6b
(log (+ 1.0 y))

rewrite28.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×log-prod
10×add-cube-cbrt
9×pow1 add-log-exp
8×add-exp-log
6×add-cbrt-cube
5×associate-*l*
4×log-div associate-*r*
3×distribute-rgt-in flip3-- distribute-lft-in log-pow flip-- difference-of-squares
2×diff-log rem-log-exp associate-*l/ distribute-lft-out--
1×sub-neg flip3-+ pow-prod-down prod-exp associate--l+ sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 74
Calls

4 calls:

13.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y))))) t)
7.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- (* 1.0 1.0) (* y y)))
3.0ms
(log (+ 1.0 y))

series74.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

56.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y))))) t)
9.0ms
(* (- x 1.0) (log y))
6.0ms
(log (- (* 1.0 1.0) (* y y)))
3.0ms
(log (+ 1.0 y))

simplify25.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
050141257

prune240.0ms (5.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New84286
Fresh189
Picked101
Done011
Total861197

Merged error: 0.0b

Counts
97 → 11

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (log (- (* 1.0 1.0) (* y y))) 3))
0.1b
(* (- x 1.0) (log y))
2.5b
(log (- (* 1.0 1.0) (* y y)))
4.6b
(log (+ 1.0 y))

rewrite19.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
14×cbrt-prod log-prod
13×add-cube-cbrt
11×pow1
8×add-exp-log
6×add-cbrt-cube
5×associate-*l* log-pow
4×unpow-prod-down log-div cube-prod associate-*r* add-log-exp
3×distribute-rgt-in distribute-lft-in
2×flip3-- rem-log-exp associate-*l/ flip-- difference-of-squares
1×cube-mult flip3-+ pow1/3 unpow3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod flip-+ distribute-lft-out distribute-lft-out-- unswap-sqr sqr-pow
Counts
4 → 82
Calls

4 calls:

7.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- (* 1.0 1.0) (* y y)))
3.0ms
(log (+ 1.0 y))
2.0ms
(cbrt (pow (log (- (* 1.0 1.0) (* y y))) 3))

series25.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

9.0ms
(* (- x 1.0) (log y))
6.0ms
(cbrt (pow (log (- (* 1.0 1.0) (* y y))) 3))
6.0ms
(log (- (* 1.0 1.0) (* y y)))
3.0ms
(log (+ 1.0 y))

simplify81.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
053001015

prune244.0ms (5.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh099
Picked011
Done011
Total9411105

Merged error: 0.0b

Counts
105 → 11

regimes566.0ms (13.5%)

Accuracy

Total 0.3b remaining (79%)

Threshold costs 0.3b (79%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06629
16629

end0.0ms (0%)

sample1.4s (32.4%)

Algorithm
1×intervals
Results
418.0ms5887×body80valid
293.0ms783×body640valid
164.0ms236×body1280valid
159.0ms679×body320valid
60.0ms415×body160valid
20.0ms248×body80nan
2.0ms31×body80invalid

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