Details

Time bar (total: 4.4s)

analyze330.0ms

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
6.1%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

sample53.0ms

Algorithm
intervals
Results
13.0ms177×body80valid
10.0ms28×body640valid
10.0ms13×body1280valid
5.0ms20×body320valid
3.0ms18×body160valid
0.0ms6×body80nan
0.0ms3×body80invalid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
0521017

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: 7.5b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
6.7b
(log (- 1.0 y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×log-prod
13×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×flip3-- associate-*l/ flip--
3×log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 93
Calls
4 calls:
9.0ms
(* (- z 1.0) (log (- 1.0 y)))
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))

series55.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (- z 1.0) (log (- 1.0 y)))
36.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

simplify56.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049791314
149791314

prune189.0ms

Filtered
77 candidates to 105 candidates (-36.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New996105
Fresh000
Picked101
Done000
Total1006106

Merged error: 0.0b

Counts
106 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
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:
10.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
16.0ms
(* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
16.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
7.0ms
(* (- x 1.0) (log y))

series107.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
11.0ms
(* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
53.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
9.0ms
(* (- x 1.0) (log y))

simplify64.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050254216

prune380.0ms

Filtered
99 candidates to 123 candidates (-24.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1194123
Fresh145
Picked011
Done000
Total1209129

Merged error: 0.0b

Counts
129 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))) (cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))
0.6b
(cbrt (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
0.6b
(cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))
0.6b
(cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
51×cbrt-prod
23×add-sqr-sqrt
22×pow1 distribute-lft-out
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×log-pow
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
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 → 105
Calls
4 calls:
27.0ms
(* (cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))) (cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))
10.0ms
(cbrt (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
10.0ms
(cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))
10.0ms
(cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))) (cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))
11.0ms
(cbrt (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
11.0ms
(cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))
11.0ms
(cbrt (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))

simplify62.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049633799
149633799

prune561.0ms

Filtered
81 candidates to 117 candidates (-44.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh077
Picked011
Done011
Total1179126

Merged error: 0.0b

Counts
126 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)
6.7b
(log (- 1.0 y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
41×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod associate-+l+
21×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
12×associate-+r+
8×associate-*l/
6×add-log-exp
5×pow1 add-exp-log flip3-- flip--
4×frac-add add-cbrt-cube
2×log-div pow1/3
1×+-commutative flip3-+ rem-log-exp sum-log log-pow flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
14.0ms
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(log (- 1.0 y))

series86.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
24.0ms
(cbrt y)
22.0ms
(cbrt y)
3.0ms
(log (- 1.0 y))

simplify26.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
054511184

prune184.0ms

Filtered
90 candidates to 102 candidates (-13.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1002102
Fresh426
Picked011
Done022
Total1047111

Merged error: 0b

Counts
111 → 7

regimes469.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06429
16429

end0.0ms

sample1.4s

Algorithm
intervals
Results
422.0ms5847×body80valid
290.0ms782×body640valid
174.0ms253×body1280valid
162.0ms678×body320valid
68.0ms440×body160valid
18.0ms243×body80nan
3.0ms37×body80invalid

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