Details

Time bar (total: 5.6s)

analyze334.0ms

Algorithm
search

sample45.0ms

Algorithm
intervals
Results
13.0ms191×body80valid
9.0ms25×body640valid
4.0ms6×body1280valid
4.0ms17×body320valid
2.0ms17×body160valid
0.0ms5×body80nan

simplify136.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.7b

Counts
2 → 1

localize14.0ms

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))
5.4b
(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))

series57.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
6.0ms
(* (- z 1.0) (log (- 1.0 y)))
12.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

simplify53.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0548838
11936745
25002711

prune196.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New997106
Fresh000
Picked101
Done000
Total1007107

Merged error: 0.1b

Counts
107 → 7

localize20.0ms

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
(* 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))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
80×times-frac
78×associate-*r*
56×unpow-prod-down
55×*-un-lft-identity
46×add-cube-cbrt
31×add-exp-log
24×unpow2 sqr-pow
19×unswap-sqr
13×associate-*l* add-cbrt-cube
12×pow1 log-prod prod-exp
9×div-exp add-log-exp
8×distribute-rgt-in flip3-- distribute-lft-in flip--
7×associate--l+
6×pow-to-exp pow-exp
5×distribute-lft-out--
4×frac-times associate-*l/ cbrt-unprod difference-of-squares
3×sub-neg associate-*r/ pow-prod-down *-commutative
2×diff-log log-pow
1×cbrt-undiv sum-log div-inv
Counts
4 → 196
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)
21.0ms
(* 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))))))
7.0ms
(* (- x 1.0) (log y))

series88.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
5.0ms
(* 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))))))
10.0ms
(* (- x 1.0) (log y))

simplify118.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
010471872
146041655
250021644

prune486.0ms

Filtered
132 candidates to 208 candidates (-57.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2071208
Fresh066
Picked011
Done000
Total2078215

Merged error: 0.1b

Counts
215 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times
29×add-sqr-sqrt
26×*-un-lft-identity
22×flip3-- flip--
20×associate-*r*
18×associate-*l/
17×pow1
15×sqrt-prod
13×add-exp-log flip3-+ add-cbrt-cube flip-+
12×add-cube-cbrt
11×associate-*l*
10×associate-*r/
6×distribute-rgt-in log-prod distribute-lft-in difference-of-squares
5×pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
4×add-log-exp
3×log-pow *-commutative distribute-lft-out
2×sub-neg sqrt-div unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 132
Calls
4 calls:
3.0ms
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
9.0ms
(* (- x 1.0) (log y))
14.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
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)))))))

series71.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
9.0ms
(* (- x 1.0) (log y))
19.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
38.0ms
(* (* (- 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)))))))

simplify53.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09762896
150012546

prune844.0ms

Filtered
108 candidates to 144 candidates (-33.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1431144
Fresh066
Picked011
Done011
Total1439152

Merged error: 0.1b

Counts
152 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (log (- 1.0 y)) 3)
0.1b
(cbrt (pow (log (- 1.0 y)) 3))
0.1b
(* (- x 1.0) (log y))
5.4b
(log (- 1.0 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
14×cbrt-prod
13×pow1
11×log-prod
8×add-exp-log unpow-prod-down cube-prod
7×add-cbrt-cube
6×log-pow
5×associate-*l*
4×associate-*r* add-log-exp
3×distribute-rgt-in pow-unpow distribute-lft-in
2×cube-mult log-div flip3-- unpow3 associate-*l/ flip-- distribute-lft-out-- difference-of-squares sqr-pow
1×pow-to-exp pow-pow pow1/3 rem-log-exp pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt unswap-sqr
Counts
4 → 93
Calls
4 calls:
3.0ms
(pow (log (- 1.0 y)) 3)
2.0ms
(cbrt (pow (log (- 1.0 y)) 3))
7.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series29.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(pow (log (- 1.0 y)) 3)
3.0ms
(cbrt (pow (log (- 1.0 y)) 3))
9.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

simplify66.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0646697
12582650
25001606

prune161.0ms

Filtered
62 candidates to 105 candidates (-69.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh066
Picked011
Done022
Total1059114

Merged error: 0.1b

Counts
114 → 9

regimes908.0ms

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

analyze331.0ms

Algorithm
search

sample1.3s

Algorithm
intervals
Results
417.0ms5881×body80valid
262.0ms724×body640valid
199.0ms286×body1280valid
147.0ms650×body320valid
68.0ms459×body160valid
18.0ms248×body80nan
2.0ms31×body80invalid

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