Details

Time bar (total: 7.4s)

sample105.0ms

Algorithm
intervals
Results
38.0ms760×body80nan
13.0ms186×body80valid
9.0ms29×body640valid
5.0ms7×body1280valid
3.0ms18×body320valid
2.0ms16×body160valid

simplify130.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.8b

Counts
2 → 1

localize13.0ms

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))
4.0b
(log (- 1.0 y))

rewrite35.0ms

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:
11.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
9.0ms
(* (- z 1.0) (log (- 1.0 y)))
7.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

series278.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
44.0ms
(* (- z 1.0) (log (- 1.0 y)))
61.0ms
(* (- x 1.0) (log y))
47.0ms
(log (- 1.0 y))

simplify73.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0621970
12460896
25003883

prune350.0ms

Filtered
121 candidates to 91 candidates (75.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1147121
Fresh000
Picked101
Done000
Total1157122

Merged error: 0.0b

Counts
122 → 7

localize24.0ms

Local error

Found 3 expressions with local error:

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))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
27×flip3-- flip--
25×add-sqr-sqrt
24×log-prod associate-*l/
22×*-un-lft-identity
16×distribute-rgt-in distribute-lft-in frac-add
15×add-cube-cbrt
12×frac-times associate--l+
10×associate-+r+ associate-*r* associate-*l*
9×pow1
7×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×add-log-exp
4×sub-neg distribute-lft-out--
3×difference-of-squares
2×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 113
Calls
3 calls:
12.0ms
(* (- 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))

series283.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
153.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
61.0ms
(* (- x 1.0) (log y))

simplify116.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
08332174
144572102
250012093

prune495.0ms

Filtered
122 candidates to 93 candidates (76.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh066
Picked011
Done000
Total1227129

Merged error: 0.0b

Counts
129 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x 1.0) (log y))
7.2b
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
9.5b
(log (- (sqrt 1.0) (sqrt y)))
9.6b
(log (+ (sqrt 1.0) (sqrt y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
34×log-prod *-un-lft-identity
32×add-sqr-sqrt
16×sqrt-prod
13×pow1
12×add-cube-cbrt
9×associate-+r+ difference-of-squares
8×add-exp-log log-div distribute-lft-out
7×log-pow
6×add-cbrt-cube
5×associate-+l+ associate-*l* distribute-lft-out--
4×associate-*r* add-log-exp
3×distribute-rgt-in flip3-- distribute-lft-in flip3-+ flip-- flip-+
2×associate-+l- associate-+r- rem-log-exp associate-*l/
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 98
Calls
4 calls:
10.0ms
(* (- x 1.0) (log y))
14.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
6.0ms
(log (- (sqrt 1.0) (sqrt y)))
5.0ms
(log (+ (sqrt 1.0) (sqrt y)))

series678.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (- x 1.0) (log y))
323.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
155.0ms
(log (- (sqrt 1.0) (sqrt y)))
142.0ms
(log (+ (sqrt 1.0) (sqrt y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04271039
11395950
25002897

prune334.0ms

Filtered
110 candidates to 73 candidates (66.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh055
Picked101
Done011
Total1107117

Merged error: 0.0b

Counts
117 → 7

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)
4.0b
(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:
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))

series582.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
181.0ms
(cbrt y)
179.0ms
(cbrt y)
50.0ms
(log (- 1.0 y))

simplify64.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0567840
12162721
25001697

prune382.0ms

Filtered
102 candidates to 93 candidates (91.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New993102
Fresh325
Picked101
Done011
Total1036109

Merged error: 0.0b

Counts
109 → 6

regimes238.0ms

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
02815
12815

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s24311×body80nan
335.0ms5842×body80valid
239.0ms768×body640valid
160.0ms257×body1280valid
143.0ms738×body320valid
51.0ms423×body160valid