Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
0489919
1489919

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
18.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
11×times-frac
10×add-exp-log add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×associate-*r/ difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- unswap-sqr
1×cbrt-undiv frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 95
Calls
4 calls:
17.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
11.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series27.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
8.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051901953

prune169.0ms

Filtered
80 candidates to 107 candidates (-33.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1052107
Fresh000
Picked101
Done000
Total1062108

Merged error: 0b

Counts
108 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.1b
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
18.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×flip3-+ associate-/r* flip-+
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 264
Calls
4 calls:
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
16.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (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)))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
5.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (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)))))

simplify117.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049619658
149619658

prune659.0ms

Filtered
150 candidates to 276 candidates (-84.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2760276
Fresh011
Picked011
Done000
Total2762278

Merged error: 0b

Counts
278 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 2.30753 (* x 0.27061)))
0.6b
(* (/ (cbrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 2.30753 (* x 0.27061))))
18.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×times-frac
42×associate-*l*
34×add-cube-cbrt *-un-lft-identity
33×cbrt-prod
28×sqrt-prod
10×unswap-sqr
9×add-exp-log
8×pow1
6×cbrt-div flip3-+ sqrt-div associate-*r* add-cbrt-cube flip-+
4×add-log-exp
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ prod-exp associate-/r/ cbrt-unprod
1×cbrt-undiv pow1/3 div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 119
Calls
4 calls:
3.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
19.0ms
(* (/ (cbrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 2.30753 (* x 0.27061))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
21.0ms
(* (/ (cbrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 2.30753 (* x 0.27061))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049723339
149723339

prune600.0ms

Filtered
107 candidates to 131 candidates (-22.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done011
Total1312133

Merged error: 0b

Counts
133 → 2

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03531
13531

end0.0ms

sample483.0ms

Algorithm
intervals
Results
352.0ms8000×body80valid

Profiling

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