Details

Time bar (total: 2.1s)

sample17.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
0497717
1497717

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:
3.0ms
(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
9.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms
(* (+ 0.99229 (* x 0.04481)) x)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
8.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
9.0ms
(* (+ 0.99229 (* x 0.04481)) x)
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050561540

prune152.0ms

Filtered
71 candidates to 89 candidates (-25.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86389
Fresh000
Picked101
Done000
Total87390

Merged error: 0b

Counts
90 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.1b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (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)))))

rewrite46.0ms

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:
8.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
24.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series21.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
053174084

prune364.0ms

Filtered
108 candidates to 176 candidates (-63.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1760176
Fresh022
Picked011
Done000
Total1763179

Merged error: 0b

Counts
179 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 2.30753 (* x 0.27061)))
0.6b
(* (cbrt (+ 2.30753 (* x 0.27061))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (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)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×times-frac
42×associate-*r*
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-*l* add-cbrt-cube flip-+
4×add-log-exp
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ prod-exp associate-/r/ cbrt-unprod
1×cbrt-undiv pow1/3 associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
4 → 119
Calls
4 calls:
3.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
23.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (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)))))

series36.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
19.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (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)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049893300
149893300

prune519.0ms

Filtered
98 candidates to 131 candidates (-33.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done011
Total1313134

Merged error: 0b

Counts
134 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 3.0191289436999997 (* x 1.900161040244073)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 3.0191289436999997 (* x 1.900161040244073)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (- 3.0191289436999997 (* x 1.900161040244073)))

simplify45.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04987236
14987236

prune27.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done022
Total27330

Merged error: 0b

Counts
30 → 3

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
012931
112931

end0.0ms

sample442.0ms

Algorithm
intervals
Results
315.0ms8000×body80valid

Profiling

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