Details

Time bar (total: 9.4s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 72.65625%

Guaranteed chance to sample good point: 44.53125%

Results
14.0ms198×body80valid
8.0ms21×body320valid
7.0ms94×body80nan
6.0ms16×body640valid
5.0ms7×body1280valid
2.0ms14×body160valid
0.0ms2×body80invalid

simplify139.0ms

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: 6.8b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.1b
(* (- x 1.0) (log y))
5.5b
(log (- 1.0 y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×*-un-lft-identity
21×log-prod
12×add-cube-cbrt
10×pow1 associate-*l*
8×add-exp-log distribute-rgt-in distribute-lft-in associate-*r*
7×add-cbrt-cube
5×distribute-lft-out-- difference-of-squares
4×associate-*l/
3×flip3-- log-pow flip-- add-log-exp
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×rem-log-exp
Counts
3 → 78
Calls
3 calls:
8.0ms
(* (- z 1.0) (log (- 1.0 y)))
7.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series23.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* (- z 1.0) (log (- 1.0 y)))
10.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

simplify43.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0425573
11502511
25001470

prune178.0ms

Filtered
60 candidates to 87 candidates (-45.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New78987
Fresh000
Picked101
Done000
Total79988

Merged error: 0.1b

Counts
88 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
80×times-frac
78×associate-*r*
57×*-un-lft-identity
56×unpow-prod-down
50×add-cube-cbrt
31×add-exp-log
27×flip3-- flip--
24×log-prod associate-*l/ unpow2 sqr-pow
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in frac-add
13×associate-*l* add-cbrt-cube
12×pow1 frac-times prod-exp associate--l+
10×associate-+r+
9×div-exp
7×associate-*r/
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod distribute-lft-out--
3×pow-prod-down *-commutative difference-of-squares
2×log-pow
1×cbrt-undiv +-commutative flip3-+ sum-log flip-+ div-inv
Counts
4 → 223
Calls
4 calls:
19.0ms
(* 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))))))
13.0ms
(+ (* (- 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))

series69.0ms

Counts
4 → 12
Calls
4 calls:
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))))))
41.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
9.0ms
(* (- x 1.0) (log y))

simplify60.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013592834
150012680

prune728.0ms

Filtered
162 candidates to 235 candidates (-45.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2332235
Fresh088
Picked011
Done000
Total23311244

Merged error: 0.1b

Counts
244 → 11

localize25.0ms

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)))))))

rewrite69.0ms

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:
13.0ms
(+ (* (- 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))
24.0ms
(* (* (- 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)))))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(+ (* (- 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))))))))
18.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
9.0ms
(* (- x 1.0) (log y))
42.0ms
(* (* (- 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)))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
016998416
150018107

prune2.6s

Filtered
164 candidates to 202 candidates (-23.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2011202
Fresh279
Picked011
Done011
Total20310213

Merged error: 0.1b

Counts
213 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x 1.0) (log y))
8.7b
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
12.7b
(log (- (sqrt 1.0) (sqrt y)))
12.7b
(log (+ (sqrt 1.0) (sqrt y)))

rewrite36.0ms

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:
6.0ms
(* (- x 1.0) (log y))
13.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
8.0ms
(log (- (sqrt 1.0) (sqrt y)))
5.0ms
(log (+ (sqrt 1.0) (sqrt y)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- x 1.0) (log y))
19.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
7.0ms
(log (- (sqrt 1.0) (sqrt y)))
7.0ms
(log (+ (sqrt 1.0) (sqrt y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05941098
122721027
25001996

prune230.0ms

Filtered
74 candidates to 110 candidates (-48.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh257
Picked101
Done022
Total1128120

Merged error: 0.0b

Counts
120 → 8

regimes586.0ms

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

sample2.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 72.65625%

Guaranteed chance to sample good point: 44.53125%

Results
454.0ms6305×body80valid
189.0ms493×body640valid
182.0ms2424×body80nan
150.0ms616×body320valid
115.0ms166×body1280valid
61.0ms420×body160valid
2.0ms28×body80invalid

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