Details

Time bar (total: 9.2s)

sample130.0ms

Algorithm
intervals
Results
45.0ms723×body80nan
13.0ms189×body80valid
9.0ms23×body640valid
7.0ms9×body1280valid
5.0ms20×body320valid
2.0ms17×body160valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0269
1499
21189
32569
45339
512509
626379
742979
845739
945889
1045889

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.1b
(* (- x 1.0) (log y))
5.1b
(log (- 1.0 y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
35×add-sqr-sqrt
31×*-un-lft-identity
17×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
12×associate-*l/
11×pow1
10×associate-+r+ associate-*l*
9×add-exp-log
8×associate-*r* add-cbrt-cube
7×flip3-- flip-- distribute-lft-out-- difference-of-squares
6×associate-+l+ add-log-exp
4×frac-add
3×log-pow
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ rem-log-exp sum-log flip-+
Counts
4 → 109
Calls
4 calls:
13.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
8.0ms
(* (- z 1.0) (log (- 1.0 y)))
7.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series44.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
6.0ms
(* (- z 1.0) (log (- 1.0 y)))
9.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

simplify68.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06731005
12529936
25001886

prune222.0ms

Filtered
121 candidates to 87 candidates (28.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh000
Picked101
Done000
Total1193122

Merged error: 0.0b

Counts
122 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
80×times-frac
78×associate-*r*
57×*-un-lft-identity
56×unpow-prod-down
50×add-cube-cbrt
31×add-exp-log
27×flip3-- flip--
24×log-prod associate-*l/ unpow2 sqr-pow
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in frac-add
13×associate-*l* add-cbrt-cube
12×pow1 frac-times prod-exp associate--l+
10×associate-+r+
9×div-exp
7×associate-*r/
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod distribute-lft-out--
3×pow-prod-down *-commutative difference-of-squares
2×log-pow
1×cbrt-undiv +-commutative flip3-+ sum-log flip-+ div-inv
Counts
4 → 223
Calls
4 calls:
19.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
14.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
11.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms
(* (- x 1.0) (log y))

series66.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
12.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
40.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
9.0ms
(* (- x 1.0) (log y))

simplify55.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013592834
150012680

prune708.0ms

Filtered
235 candidates to 162 candidates (31.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2332235
Fresh022
Picked101
Done000
Total2344238

Merged error: 0.0b

Counts
238 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- x 1.0) (log y)) (* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.1b
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b
(* (- x 1.0) (log y))
0.4b
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
98×associate-*l/
88×frac-times
84×flip3-- flip--
52×frac-add
31×flip3-+ flip-+
29×add-sqr-sqrt
27×*-un-lft-identity
26×associate-*r/
20×associate-*r*
16×pow1
13×add-exp-log add-cube-cbrt add-cbrt-cube
12×log-prod sqrt-prod
11×distribute-rgt-in distribute-lft-in associate-*l*
6×associate-+l+ add-log-exp difference-of-squares
5×pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
4×sub-neg associate-+r+
3×log-pow *-commutative distribute-lft-out
2×unswap-sqr
1×+-commutative sum-log
Counts
4 → 190
Calls
4 calls:
15.0ms
(+ (* (- x 1.0) (log y)) (* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
13.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms
(* (- x 1.0) (log y))
21.0ms
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series164.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(+ (* (- x 1.0) (log y)) (* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
18.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
9.0ms
(* (- x 1.0) (log y))
43.0ms
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify110.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
016998416
150018107

prune2.3s

Filtered
202 candidates to 164 candidates (18.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2020202
Fresh033
Picked011
Done000
Total2024206

Merged error: 0.0b

Counts
206 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)
5.1b
(log (- 1.0 y))

rewrite23.0ms

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:
13.0ms
(+ (* (- 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))

series87.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
22.0ms
(cbrt y)
25.0ms
(cbrt y)
3.0ms
(log (- 1.0 y))

simplify59.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0593879
12054781
25003743

prune181.0ms

Filtered
102 candidates to 90 candidates (11.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1002102
Fresh022
Picked011
Done011
Total1006106

Merged error: 0b

Counts
106 → 6

regimes436.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03428
13428

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.6s24765×body80nan
417.0ms5911×body80valid
291.0ms787×body640valid
181.0ms259×body1280valid
160.0ms666×body320valid
60.0ms409×body160valid

Profiling

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