Details

Time bar (total: 7.6s)

analyze1.1s

Algorithm
search

sample85.0ms

Algorithm
intervals
Results
28.0ms357×body80nan
20.0ms256×body80valid
3.0ms39×body80invalid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03811
110111
242811
3151411
4462011
5500111

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
20×add-sqr-sqrt
18×log-prod
15×add-log-exp
14×add-cube-cbrt
10×pow1
9×distribute-rgt-in distribute-lft-in
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
7×associate-+l+ sum-log
3×distribute-lft-out
2×+-commutative flip3-+ pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 87
Calls
4 calls:
9.0ms
(+ (+ (+ (* x (log y)) z) t) a)
5.0ms
(+ (* x (log y)) z)
7.0ms
(* (- b 0.5) (log c))
5.0ms
(* x (log y))

series50.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (+ (+ (* x (log y)) z) t) a)
13.0ms
(+ (* x (log y)) z)
9.0ms
(* (- b 0.5) (log c))
7.0ms
(* x (log y))

simplify43.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0470557
11603500
25002463

prune142.0ms

Filtered
65 candidates to 99 candidates (-52.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New93699
Fresh000
Picked101
Done000
Total946100

Merged error: 0.0b

Counts
100 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log y))
0.2b
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b
(cbrt c)
0.6b
(cbrt c)

rewrite25.0ms

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:
4.0ms
(* x (log y))
13.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms
(cbrt c)
1.0ms
(cbrt c)

series90.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* x (log y))
37.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
24.0ms
(cbrt c)
22.0ms
(cbrt c)

simplify60.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0580891
12054779
25001735

prune184.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh055
Picked011
Done000
Total1107117

Merged error: 0.0b

Counts
117 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series86.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
24.0ms
(cbrt y)

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0362765
11356673
25002593

prune170.0ms

Filtered
87 candidates to 114 candidates (-31.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh055
Picked011
Done011
Total1138121

Merged error: 0.0b

Counts
121 → 8

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow y 1/3)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b
(cbrt y)
4.9b
(pow y 1/3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
38×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
24×associate-+l+
15×cbrt-prod unpow-prod-down
14×associate-+r+
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
5×sqr-pow
4×associate-*r*
3×pow-unpow associate-*l*
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 112
Calls
4 calls:
5.0ms
(* x (log (pow y 1/3)))
11.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series88.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* x (log (pow y 1/3)))
27.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
22.0ms
(cbrt y)
23.0ms
(pow y 1/3)

simplify63.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0460798
11882686
25002512

prune184.0ms

Filtered
89 candidates to 124 candidates (-39.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh055
Picked011
Done022
Total1248132

Merged error: 0.0b

Counts
132 → 8

regimes1.5s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03618
13618

end0.0ms

analyze1.1s

Algorithm
search

sample2.3s

Algorithm
intervals
Results
727.0ms10081×body80nan
674.0ms7997×body80valid
111.0ms1292×body80invalid
1.0ms2×body640valid
0.0ms1×body320valid

Profiling

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