Details

Time bar (total: 10.1s)

sample127.0ms

Algorithm
intervals
Results
55.0ms805×body80nan
14.0ms198×body80valid
8.0ms20×body640valid
7.0ms8×body1280valid
5.0ms20×body320valid
2.0ms12×body160valid

simplify131.0ms

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: 6.7b

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)))) t)
0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.1b
(* (- x 1.0) (log y))
7.1b
(log (- 1.0 y))

rewrite32.0ms

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 → 94
Calls
4 calls:
10.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms
(* (- z 1.0) (log (- 1.0 y)))
7.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series303.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
46.0ms
(* (- z 1.0) (log (- 1.0 y)))
53.0ms
(* (- x 1.0) (log y))
46.0ms
(log (- 1.0 y))

simplify49.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0498803
11805714
25001701

prune272.0ms

Filtered
106 candidates to 75 candidates (70.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1015106
Fresh000
Picked101
Done000
Total1025107

Merged error: 0.0b

Counts
107 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

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)
0.0b
(+ (* (- 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
(* (- 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))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt flip3-- flip--
25×*-un-lft-identity
24×log-prod associate-*l/
16×distribute-rgt-in add-cube-cbrt distribute-lft-in frac-add
13×associate--l+
12×frac-times
11×add-log-exp
10×pow1 associate-+r+ associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×difference-of-squares
2×diff-log pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 129
Calls
4 calls:
12.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
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)))))))
13.0ms
(* (- 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))

series517.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
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)))))))
62.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
60.0ms
(* (- x 1.0) (log y))

simplify122.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08882535
146742460
250012448

prune568.0ms

Filtered
141 candidates to 107 candidates (75.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1383141
Fresh044
Picked011
Done000
Total1388146

Merged error: 0.0b

Counts
146 → 8

localize24.0ms

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)))))))

rewrite71.0ms

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:
14.0ms
(+ (* (- 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))
25.0ms
(* (* (- 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)))))))

series921.0ms

Counts
4 → 12
Calls
4 calls:
434.0ms
(+ (* (- 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))))))))
155.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
59.0ms
(* (- x 1.0) (log y))
273.0ms
(* (* (- 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)))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
016808399
150028006

prune1.2s

Filtered
202 candidates to 165 candidates (81.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2002202
Fresh246
Picked011
Done011
Total2028210

Merged error: 0.0b

Counts
210 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

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))
0.2b
(* (+ (log 1.0) (- (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
11.0b
(/ (* (+ (log 1.0) (- (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) (* (- 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)))))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times
40×flip3-+ flip-+
38×*-un-lft-identity
30×associate-*r/
26×associate-/l/
22×add-exp-log flip3-- add-cbrt-cube flip--
21×add-sqr-sqrt
20×associate-*l/
19×pow1
17×associate-*l*
13×add-cube-cbrt distribute-lft-out
12×sqrt-prod
11×associate-*r*
8×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
6×log-prod times-frac associate-/r* log-pow
5×pow-prod-down
4×add-log-exp
3×cbrt-undiv div-exp *-commutative
2×distribute-rgt-neg-in associate-/r/ distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 171
Calls
4 calls:
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))
24.0ms
(* (+ (log 1.0) (- (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
30.0ms
(/ (* (+ (log 1.0) (- (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) (* (- 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)))))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
54.0ms
(* (- x 1.0) (log y))
270.0ms
(* (+ (log 1.0) (- (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
64.0ms
(/ (* (+ (log 1.0) (- (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) (* (- 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)))))))

simplify73.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010974985
150024503

prune963.0ms

Filtered
183 candidates to 148 candidates (80.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1830183
Fresh055
Picked011
Done022
Total1838191

Merged error: 0.0b

Counts
191 → 8

regimes296.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02815
12815

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.5s24046×body80nan
416.0ms5885×body80valid
280.0ms757×body640valid
173.0ms244×body1280valid
163.0ms685×body320valid
70.0ms453×body160valid

Profiling

Loading profile data...