Details

Time bar (total: 2.6s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%24.9%13
75%0%25%14

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
03419
13419

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 0.253 (* x 0.12))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ 0.253 (* x 0.12))
5.0ms
(* x (+ 0.253 (* x 0.12)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ 0.253 (* x 0.12))
9.0ms
(* x (+ 0.253 (* x 0.12)))

simplify47.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05079325

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* x (+ 0.253 (* x 0.12))))
0.1b
(* x (+ 0.253 (* x 0.12)))
0.1b
(* x (+ 0.253 (* x 0.12)))
0.3b
(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* x (+ 0.253 (* x 0.12)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
60×pow1
30×sqrt-pow1
23×pow-prod-down
20×associate-*r/
18×add-sqr-sqrt
14×sqrt-div
12×add-cube-cbrt *-un-lft-identity
11×pow1/2
10×add-exp-log associate-*r* associate-*l* pow-prod-up add-cbrt-cube
9×flip3-+ flip-+
6×pow-sqr
5×sqrt-prod
4×frac-times swap-sqr add-log-exp
3×prod-exp *-commutative cbrt-unprod unswap-sqr
2×distribute-rgt-in distribute-lft-in associate-*l/
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 114
Calls
4 calls:
4.0ms
(sqrt (* x (+ 0.253 (* x 0.12))))
5.0ms
(* x (+ 0.253 (* x 0.12)))
5.0ms
(* x (+ 0.253 (* x 0.12)))
12.0ms
(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* x (+ 0.253 (* x 0.12)))))

series27.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (* x (+ 0.253 (* x 0.12))))
6.0ms
(* x (+ 0.253 (* x 0.12)))
8.0ms
(* x (+ 0.253 (* x 0.12)))
8.0ms
(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* x (+ 0.253 (* x 0.12)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049471210
149471210

prune245.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1242126
Fresh022
Picked011
Done011
Total1246130

Merged error: 0.0b

Counts
130 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*r/
168×cbrt-div
136×frac-times
132×sqrt-div
111×flip3-+ flip-+
44×associate-*l/
38×pow1
26×pow-prod-down
16×sqrt-pow1
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
4×associate-*r* associate-*l* add-log-exp
3×pow1/3
2×pow1/2 sqrt-prod
1×sqrt-unprod prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 149
Calls
4 calls:
25.0ms
(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
4.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))))
7.0ms
(cbrt (+ 0.253 (* x 0.12)))
7.0ms
(cbrt (+ 0.253 (* x 0.12)))
7.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify75.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049806045
149806045

prune840.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1601161
Fresh033
Picked011
Done022
Total1607167

Merged error: 0b

Counts
167 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
0.4b
(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
0.4b
(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
0.6b
(pow (cbrt (sqrt (* x (+ 0.253 (* x 0.12))))) 4)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×unpow-prod-down
6×cbrt-div sqrt-div associate-*r/
5×pow1 add-exp-log
4×pow1/3 sqrt-prod add-cbrt-cube add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 64
Calls
4 calls:
4.0ms
(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
4.0ms
(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
5.0ms
(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
4.0ms
(pow (cbrt (sqrt (* x (+ 0.253 (* x 0.12))))) 4)

series48.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
9.0ms
(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
10.0ms
(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
19.0ms
(pow (cbrt (sqrt (* x (+ 0.253 (* x 0.12))))) 4)

simplify54.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049771402
149771402

prune306.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done033
Total76783

Merged error: 0b

Counts
83 → 7

regimes130.0ms

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 (1.0ms)

IterNodesCost
0639
1639

end0.0ms

sample445.0ms

Algorithm
intervals
Results
365.0ms8000×body80valid
0.0ms1×body80invalid

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