Details

Time bar (total: 1.5s)

analyze4.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1428
2508
3508

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in 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 → 79
Calls
4 calls:
10.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series22.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437781
11823736
25001736

prune135.0ms

Filtered
69 candidates to 91 candidates (-31.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New89291
Fresh000
Picked101
Done000
Total90292

Merged error: 0b

Counts
92 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

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 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
5.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series20.0ms

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

simplify95.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07322695
143752406
250022238

prune328.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
9×*-un-lft-identity add-log-exp
7×pow1 add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×log-prod
3×associate-*r* associate-*l* log-pow
2×distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ exp-sum flip-+ difference-of-squares
1×+-commutative sub-neg exp-prod flip3-- exp-to-pow times-frac diff-log rem-log-exp pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 64
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
12.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* x (+ 0.99229 (* x 0.04481))))))) x)
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
2.0ms
(log (exp (* x (+ 0.99229 (* x 0.04481)))))

series23.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0300540
11169485
25001475

prune111.0ms

Filtered
54 candidates to 76 candidates (-40.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done011
Total76278

Merged error: 0b

Counts
78 → 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

analyze6.0ms

Algorithm
search

sample424.0ms

Algorithm
intervals
Results
337.0ms8000×body80valid

Profiling

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