Details

Time bar (total: 7.7s)

analyze1.0s

Algorithm
search

sample83.0ms

Algorithm
intervals
Results
27.0ms329×body80nan
20.0ms255×body80valid
3.0ms36×body80invalid
0.0ms1×body640valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03811
110111
242811
3151411
4462011
5500111

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ (* x (log y)) z) t) a)
0.0b
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b
(* (- b 0.5) (log c))
0.3b
(* x (log y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
21×*-un-lft-identity
20×add-sqr-sqrt
18×log-prod
16×sum-log
14×add-cube-cbrt
10×pow1
9×distribute-rgt-in distribute-lft-in
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
6×associate-+r+ associate-*l/
4×flip3-+ frac-add flip-+
3×flip3-- flip-- distribute-lft-out
2×+-commutative associate-+l+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
9.0ms
(+ (+ (+ (* x (log y)) z) t) a)
13.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms
(* (- b 0.5) (log c))
5.0ms
(* x (log y))

series109.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (+ (+ (* x (log y)) z) t) a)
66.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
10.0ms
(* (- b 0.5) (log c))
11.0ms
(* x (log y))

simplify63.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0608910
12382858
25001812

prune186.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New989107
Fresh000
Picked101
Done000
Total999108

Merged error: 0.0b

Counts
108 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.3b
(* x (log y))
0.5b
(cbrt c)
0.5b
(cbrt c)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
42×log-prod
33×distribute-rgt-in distribute-lft-in
24×cbrt-prod add-sqr-sqrt associate-+l+
22×add-cube-cbrt *-un-lft-identity
12×associate-+r+
8×associate-*l/
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
4×flip3-- associate-*r* frac-add flip--
3×associate-*l*
2×pow1/3
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 99
Calls
4 calls:
15.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
4.0ms
(* x (log y))
1.0ms
(cbrt c)
1.0ms
(cbrt c)

series90.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
7.0ms
(* x (log y))
22.0ms
(cbrt c)
22.0ms
(cbrt c)

simplify59.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0580891
12054779
25002735

prune198.0ms

Filtered
91 candidates to 111 candidates (-22.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh268
Picked011
Done000
Total1128120

Merged error: 0.0b

Counts
120 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt c) (cbrt c))
0.5b
(cbrt c)
0.5b
(cbrt c)
0.5b
(cbrt c)

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 c) (cbrt c))
1.0ms
(cbrt c)
1.0ms
(cbrt c)
1.0ms
(cbrt c)

series94.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt c) (cbrt c))
25.0ms
(cbrt c)
22.0ms
(cbrt c)
22.0ms
(cbrt c)

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune135.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh066
Picked011
Done011
Total85893

Merged error: 0.0b

Counts
93 → 8

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))
0.5b
(cbrt c)
0.6b
(cbrt (sqrt c))
0.6b
(cbrt (sqrt c))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
21×log-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×associate-+l+
9×associate-+r+ sqrt-prod
6×distribute-rgt-in distribute-lft-in
5×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 71
Calls
4 calls:
8.0ms
(+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))
1.0ms
(cbrt c)
2.0ms
(cbrt (sqrt c))
2.0ms
(cbrt (sqrt c))

series109.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))
25.0ms
(cbrt c)
16.0ms
(cbrt (sqrt c))
16.0ms
(cbrt (sqrt c))

simplify114.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0326559
1914524
23459476
35003459

prune114.0ms

Filtered
64 candidates to 83 candidates (-29.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh055
Picked011
Done022
Total83891

Merged error: 0.0b

Counts
91 → 8

regimes1.6s

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
03618
13618

end0.0ms

analyze1.0s

Algorithm
search

sample2.3s

Algorithm
intervals
Results
728.0ms9765×body80nan
679.0ms7995×body80valid
104.0ms1181×body80invalid
1.0ms3×body640valid
1.0ms1×body1280valid
0.0ms1×body320valid

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