Details

Time bar (total: 3.2s)

sample45.0ms

Algorithm
intervals
Results
12.0ms257×body80valid
10.0ms266×body80nan

simplify181.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (180.0ms)

IterNodesCost
0418512
1418512

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.2b
(* (+ y 0.5) (log y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
16×*-un-lft-identity
11×add-sqr-sqrt
7×add-cube-cbrt
6×pow1 log-prod
5×add-exp-log diff-log add-cbrt-cube
4×associate-*r* associate-*l* sum-log
3×distribute-rgt-in distribute-lft-in distribute-lft-out
2×associate-+l- sub-neg associate-+l+ flip3-+ associate-*l/ flip-+ distribute-lft-out--
1×+-commutative associate--l- flip3-- pow-prod-down prod-exp associate--l+ log-pow *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
8.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
6.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
9.0ms
(* (+ y 0.5) (log y))

series52.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
12.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
24.0ms
(* (+ y 0.5) (log y))

simplify32.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05068853

prune118.0ms

Filtered
50 candidates to 72 candidates (-44.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New65772
Fresh011
Picked101
Done000
Total66874

Merged error: 0.0b

Counts
74 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (+ y 0.5) (log y)) z)
0.1b
(- y (+ (* (+ y 0.5) (log y)) z))
0.2b
(* (+ y 0.5) (log y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
12×log-prod
10×add-log-exp
9×add-cube-cbrt
6×pow1 distribute-rgt-in associate-+l+ distribute-lft-in
5×add-exp-log add-cbrt-cube
4×associate-*r* associate-*l*
2×flip3-+ diff-log associate-*l/ sum-log flip-+
1×+-commutative sub-neg flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod distribute-lft-out associate--r+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
8.0ms
(+ (* (+ y 0.5) (log y)) z)
8.0ms
(- y (+ (* (+ y 0.5) (log y)) z))
8.0ms
(* (+ y 0.5) (log y))

series46.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* (+ y 0.5) (log y)) z)
12.0ms
(- y (+ (* (+ y 0.5) (log y)) z))
23.0ms
(* (+ y 0.5) (log y))

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05240754

prune99.0ms

Filtered
47 candidates to 70 candidates (-48.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh257
Picked011
Done000
Total71778

Merged error: 0b

Counts
78 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
60×log-prod
54×distribute-rgt-in distribute-lft-in
36×cbrt-prod
29×*-un-lft-identity
27×add-sqr-sqrt add-cube-cbrt
24×associate-+l+
12×associate-+r+
10×associate-*l/
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ flip-+ add-log-exp
4×associate-*l* frac-add
3×pow-prod-down prod-exp cbrt-unprod
2×pow1/3 distribute-lft-out
1×+-commutative associate-*r* sum-log *-commutative
Counts
4 → 119
Calls
4 calls:
10.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
15.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series249.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
123.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
24.0ms
(cbrt y)
28.0ms
(cbrt y)

simplify60.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049241548
149241548

prune172.0ms

Filtered
92 candidates to 131 candidates (-42.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh055
Picked011
Done011
Total1317138

Merged error: 0b

Counts
138 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))) y) z)
0.1b
(+ (- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))) y)
0.4b
(* (log y) (sqrt (+ y 0.5)))
0.4b
(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-log-exp
15×add-sqr-sqrt
14×sqrt-div
12×pow1
11×add-exp-log associate-*l* add-cbrt-cube
10×associate-*r/
9×add-cube-cbrt sqrt-prod
8×flip3-+ associate-*r* flip-+
5×diff-log
4×frac-times pow-prod-down prod-exp sum-log cbrt-unprod distribute-lft-out
2×associate-+l- sub-neg associate-+l+ associate-*l/ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative associate--l- flip3-- associate--l+ log-pow flip-- difference-of-squares
Counts
4 → 91
Calls
4 calls:
8.0ms
(- (+ (- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))) y) z)
6.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))) y)
8.0ms
(* (log y) (sqrt (+ y 0.5)))
13.0ms
(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(- (+ (- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))) y) z)
12.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))) y)
14.0ms
(* (log y) (sqrt (+ y 0.5)))
23.0ms
(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))

simplify26.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
053621484

prune156.0ms

Filtered
75 candidates to 103 candidates (-37.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh134
Picked011
Done022
Total1037110

Merged error: 0b

Counts
110 → 7

regimes192.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01412
11412

end0.0ms

sample1.5s

Algorithm
intervals
Results
510.0ms7856×body80nan
364.0ms8036×body80valid

Profiling

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