Details

Time bar (total: 10.2s)

sample134.0ms

Algorithm
intervals
Results
44.0ms766×body80nan
12.0ms185×body80valid
10.0ms30×body640valid
8.0ms10×body1280valid
4.0ms18×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

prune5.0ms

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: 5.6b

Counts
2 → 1

localize12.0ms

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))
4.6b
(log (- 1.0 y))

rewrite31.0ms

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:
9.0ms
(* (- z 1.0) (log (- 1.0 y)))
10.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series58.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- z 1.0) (log (- 1.0 y)))
38.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0548838
11936745
25002711

prune682.0ms

Filtered
106 candidates to 73 candidates (31.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh000
Picked101
Done000
Total998107

Merged error: 0.1b

Counts
107 → 8

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

rewrite48.0ms

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)))))))
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))

series123.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
39.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
17.0ms
(* (- 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))

simplify123.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
09152563
146332482
250022446

prune1.2s

Filtered
141 candidates to 103 candidates (27.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1383141
Fresh077
Picked101
Done000
Total13910149

Merged error: 0.0b

Counts
149 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) (cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.6b
(cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.6b
(cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.6b
(cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
52×*-un-lft-identity
37×add-sqr-sqrt
22×pow1 distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×log-pow
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
14.0ms
(* (cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) (cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms
(cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms
(cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms
(cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) (cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
12.0ms
(cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
12.0ms
(cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
12.0ms
(cbrt (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

simplify66.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05082897
118772762
250022441

prune1.2s

Filtered
123 candidates to 81 candidates (34.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1230123
Fresh099
Picked011
Done000
Total12310133

Merged error: 0.0b

Counts
133 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- x 1.0) (log y))
10.3b
(+ (* (- z 1.0) (log (+ (sqrt 1.0) (sqrt y)))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
12.4b
(log (- (sqrt 1.0) (sqrt y)))
12.5b
(log (+ (sqrt 1.0) (sqrt y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
42×add-sqr-sqrt
40×*-un-lft-identity
24×sqrt-prod
18×associate-+r+
17×distribute-rgt-in distribute-lft-in
14×add-cube-cbrt
13×difference-of-squares
10×associate-+l+ associate-*l/
9×pow1
8×add-exp-log
7×distribute-lft-out distribute-lft-out--
6×flip3-- add-cbrt-cube flip-- add-log-exp
5×associate-*l*
4×log-div associate-*r* frac-add
3×log-pow
2×flip3-+ rem-log-exp flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 109
Calls
4 calls:
7.0ms
(* (- x 1.0) (log y))
18.0ms
(+ (* (- z 1.0) (log (+ (sqrt 1.0) (sqrt y)))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
5.0ms
(log (- (sqrt 1.0) (sqrt y)))
5.0ms
(log (+ (sqrt 1.0) (sqrt y)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- x 1.0) (log y))
35.0ms
(+ (* (- z 1.0) (log (+ (sqrt 1.0) (sqrt y)))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
8.0ms
(log (- (sqrt 1.0) (sqrt y)))
7.0ms
(log (+ (sqrt 1.0) (sqrt y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07871411
131481300
250011248

prune1.4s

Filtered
121 candidates to 82 candidates (32.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1201121
Fresh088
Picked101
Done011
Total12110131

Merged error: 0.0b

Counts
131 → 10

regimes842.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03236
13236

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.4s24168×body80nan
375.0ms5844×body80valid
279.0ms799×body640valid
157.0ms707×body320valid
149.0ms227×body1280valid
63.0ms456×body160valid

Profiling

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