Details

Time bar (total: 8.8s)

sample95.0ms

Algorithm
intervals
Results
36.0ms753×body80nan
11.0ms203×body80valid
7.0ms21×body640valid
3.0ms5×body1280valid
2.0ms13×body320valid
2.0ms14×body160valid

simplify132.0ms

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: 5.3b

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)
0.2b
(* (- x 1.0) (log y))
7.4b
(log (- 1.0 y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
37×add-sqr-sqrt log-prod
23×distribute-lft-out--
22×associate-*l*
18×associate--l+
17×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
11×pow1
10×associate-+r+
9×add-exp-log distribute-lft-out add-log-exp
8×associate-*r* add-cbrt-cube difference-of-squares
6×associate-+l+
4×flip3-- associate-*l/ flip--
3×log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sub-neg rem-log-exp sum-log
Counts
4 → 120
Calls
4 calls:
8.0ms
(* (- z 1.0) (log (- 1.0 y)))
29.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
6.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series330.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (- z 1.0) (log (- 1.0 y)))
170.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
64.0ms
(* (- x 1.0) (log y))
50.0ms
(log (- 1.0 y))

simplify54.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05331004
11875915
25002902

prune309.0ms

Filtered
132 candidates to 91 candidates (68.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New12210132
Fresh000
Picked101
Done000
Total12310133

Merged error: 0.0b

Counts
133 → 10

localize19.0ms

Local error

Found 4 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)))))))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.2b
(* (- x 1.0) (log y))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
106×*-un-lft-identity
42×associate-*l*
36×log-prod associate--l+
34×distribute-lft-out--
32×add-sqr-sqrt
28×flip3-- flip--
26×distribute-lft-out
24×distribute-rgt-in distribute-lft-in associate-*l/
20×add-cube-cbrt associate-+r+
18×associate-*r*
16×frac-add
14×pow1
12×frac-times associate-+l+
11×add-log-exp
8×add-exp-log add-cbrt-cube
7×sub-neg
6×associate-*r/ log-pow
4×difference-of-squares
2×+-commutative diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
1×flip3-+ flip-+
Counts
4 → 172
Calls
4 calls:
70.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
95.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
104.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
7.0ms
(* (- x 1.0) (log y))

series580.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
168.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
269.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
68.0ms
(* (- x 1.0) (log y))

simplify135.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
09073012
146992937
250022925

prune626.0ms

Filtered
184 candidates to 124 candidates (67.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1759184
Fresh909
Picked101
Done000
Total1859194

Merged error: 0.0b

Counts
194 → 9

localize27.0ms

Local error

Found 4 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 (sqrt y))) (+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) t)
0.2b
(* (log (sqrt y)) (- x 1.0))
0.2b
(* (- x 1.0) (log (sqrt y)))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
180×*-un-lft-identity
80×associate-*l*
65×distribute-lft-out
63×distribute-lft-out--
42×associate--l+
38×add-sqr-sqrt
36×log-prod
28×pow1
26×distribute-rgt-in associate-+r+ distribute-lft-in
25×associate-*r*
22×add-cube-cbrt
20×log-pow
16×associate-+l+
13×add-log-exp
12×sqrt-prod
10×add-exp-log add-cbrt-cube
9×sub-neg flip3-- flip--
5×difference-of-squares
4×frac-times associate-*r/ associate-*l/
3×diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
2×+-commutative sqrt-pow1 pow1/2
Counts
4 → 191
Calls
4 calls:
71.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
128.0ms
(- (+ (* (- x 1.0) (log (sqrt y))) (+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) t)
7.0ms
(* (log (sqrt y)) (- x 1.0))
8.0ms
(* (- x 1.0) (log (sqrt y)))

series545.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
329.0ms
(- (+ (* (- x 1.0) (log (sqrt y))) (+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) t)
74.0ms
(* (log (sqrt y)) (- x 1.0))
70.0ms
(* (- x 1.0) (log (sqrt y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07102777
129702459
250032435

prune591.0ms

Filtered
203 candidates to 113 candidates (55.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2003203
Fresh448
Picked101
Done000
Total2057212

Merged error: 0b

Counts
212 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (sqrt (sqrt y))) (- x 1.0))
0.2b
(sqrt (sqrt y))
0.2b
(sqrt (sqrt y))
0.3b
(+ (log (sqrt (sqrt y))) (log (sqrt y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
32×sqrt-prod
29×log-pow
28×pow1
25×sqrt-pow1
23×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt log-prod pow1/2
9×associate-+l+
8×distribute-rgt-out associate-*l* add-log-exp
6×add-exp-log associate-+r+ add-cbrt-cube distribute-lft-out
5×associate-*r*
4×rem-sqrt-square sum-log
2×distribute-rgt-in sub-neg distribute-lft-in distribute-lft1-in associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 114
Calls
4 calls:
7.0ms
(* (log (sqrt (sqrt y))) (- x 1.0))
2.0ms
(sqrt (sqrt y))
2.0ms
(sqrt (sqrt y))
8.0ms
(+ (log (sqrt (sqrt y))) (log (sqrt y)))

series617.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (log (sqrt (sqrt y))) (- x 1.0))
146.0ms
(sqrt (sqrt y))
139.0ms
(sqrt (sqrt y))
182.0ms
(+ (log (sqrt (sqrt y))) (log (sqrt y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0473713
11626647
25001596

prune665.0ms

Filtered
126 candidates to 78 candidates (61.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1251126
Fresh156
Picked101
Done000
Total1276133

Merged error: 0b

Counts
133 → 6

regimes264.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04426
14426

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.2s24607×body80nan
328.0ms5840×body80valid
254.0ms810×body640valid
168.0ms268×body1280valid
126.0ms651×body320valid
52.0ms462×body160valid