Details

Time bar (total: 13.3s)

sample140.0ms

Algorithm
intervals
Results
54.0ms811×body80nan
14.0ms204×body80valid
8.0ms21×body640valid
5.0ms6×body1280valid
5.0ms20×body320valid
1.0ms8×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: 6.1b

Counts
2 → 1

localize13.0ms

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))))
0.1b
(* (- x 1.0) (log y))
6.9b
(log (- 1.0 y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
35×add-sqr-sqrt
31×*-un-lft-identity
17×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
12×associate-*l/
11×pow1
10×associate-+r+ associate-*l*
9×add-exp-log
8×associate-*r* add-cbrt-cube
7×flip3-- flip-- distribute-lft-out-- difference-of-squares
6×associate-+l+ add-log-exp
4×frac-add
3×log-pow
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ rem-log-exp sum-log flip-+
Counts
4 → 109
Calls
4 calls:
10.0ms
(* (- z 1.0) (log (- 1.0 y)))
11.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
6.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series42.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- z 1.0) (log (- 1.0 y)))
24.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
9.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

simplify66.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06731005
12529936
25001886

prune890.0ms

Filtered
121 candidates to 87 candidates (28.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1156121
Fresh000
Picked101
Done000
Total1166122

Merged error: 0.0b

Counts
122 → 6

localize20.0ms

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:
21.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
11.0ms
(* (- 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)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
6.0ms
(* (- x 1.0) (log y))

series63.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 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))))))
36.0ms
(+ (* (- 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 (28.0ms)

IterNodesCost
013592834
150012680

prune4.2s

Filtered
235 candidates to 162 candidates (31.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2341235
Fresh145
Picked011
Done000
Total2356241

Merged error: 0.0b

Counts
241 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series90.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt y) (cbrt y))
21.0ms
(cbrt y)
23.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune492.0ms

Filtered
85 candidates to 56 candidates (34.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done011
Total85691

Merged error: 0.0b

Counts
91 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))) (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))))
6.9b
(log (- 1.0 y))
6.9b
(log (- 1.0 y))
6.9b
(log (- 1.0 y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
118×associate-*l/
84×cbrt-div
59×flip3-- flip--
56×frac-add
36×frac-times
29×add-sqr-sqrt
21×*-un-lft-identity
16×cbrt-prod
15×add-cube-cbrt log-prod
14×pow1 flip3-+ flip-+
9×add-exp-log
6×log-div pow1/3 associate-*r/ swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×rem-log-exp log-pow distribute-lft-out-- difference-of-squares
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 136
Calls
4 calls:
19.0ms
(* (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))) (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))))
6.0ms
(log (- 1.0 y))
3.0ms
(log (- 1.0 y))
4.0ms
(log (- 1.0 y))

series438.0ms

Counts
4 → 12
Calls
4 calls:
428.0ms
(* (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))) (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))))
3.0ms
(log (- 1.0 y))
3.0ms
(log (- 1.0 y))
3.0ms
(log (- 1.0 y))

simplify133.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
010414351
144974212
250014113

prune1.7s

Filtered
148 candidates to 100 candidates (32.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1462148
Fresh123
Picked011
Done022
Total1477154

Merged error: 0b

Counts
154 → 7

regimes677.0ms

Accuracy

0% (0.3b 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

sample3.9s

Algorithm
intervals
Results
1.5s23803×body80nan
399.0ms5910×body80valid
290.0ms797×body640valid
174.0ms253×body1280valid
150.0ms649×body320valid
62.0ms432×body160valid

Profiling

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