Details

Time bar (total: 1.6s)

analyze4.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0228
1338
2568
3728
4788
51008
61288
71618
81908
93508
106448
1110128
1222588
1350018

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
13.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*l/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 77
Calls
4 calls:
8.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms
(+ 0.99229 (* x 0.04481))
9.0ms
(* (+ 0.99229 (* x 0.04481)) x)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series22.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms
(+ 0.99229 (* x 0.04481))
6.0ms
(* (+ 0.99229 (* x 0.04481)) x)
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0418785
11542737
25001731

prune141.0ms

Filtered
67 candidates to 89 candidates (-32.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New87289
Fresh000
Picked101
Done000
Total88290

Merged error: 0b

Counts
90 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.2b
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
13.6b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.6b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 sqrt-div div-exp
8×prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
2×rem-sqrt-square
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 164
Calls
4 calls:
25.0ms
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
5.0ms
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
2.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
5.0ms
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify96.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07262688
142872404
250012238

prune347.0ms

Filtered
105 candidates to 176 candidates (-67.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1760176
Fresh011
Picked011
Done000
Total1762178

Merged error: 0b

Counts
178 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* (+ 0.99229 (* x 0.04481)) x))))))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
3.2b
(log (exp (* (+ 0.99229 (* x 0.04481)) x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×add-log-exp
9×*-un-lft-identity
7×pow1 add-cube-cbrt
6×add-exp-log add-cbrt-cube
4×log-pow
3×log-prod associate-*r* associate-*l*
2×exp-to-pow flip3-+ associate-*l/ sum-log flip-+ difference-of-squares
1×+-commutative sub-neg exp-prod flip3-- times-frac diff-log rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 61
Calls
4 calls:
11.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* (+ 0.99229 (* x 0.04481)) x))))))
3.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(* (+ 0.99229 (* x 0.04481)) x)
2.0ms
(log (exp (* (+ 0.99229 (* x 0.04481)) x)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* (+ 0.99229 (* x 0.04481)) x))))))
3.0ms
(+ 0.99229 (* x 0.04481))
6.0ms
(* (+ 0.99229 (* x 0.04481)) x)
6.0ms
(log (exp (* (+ 0.99229 (* x 0.04481)) x)))

simplify103.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0274549
1970485
24556483
35002483

prune105.0ms

Filtered
51 candidates to 73 candidates (-43.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh000
Picked011
Done011
Total73275

Merged error: 0b

Counts
75 → 2

regimes24.0ms

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
02716
12716

end0.0ms

analyze4.0ms

Algorithm
search

sample402.0ms

Algorithm
intervals
Results
315.0ms8000×body80valid

Profiling

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