Details

Time bar (total: 2.2s)

sample49.0ms

Algorithm
intervals
Results
13.0ms249×body160nan
12.0ms500×body80nan
8.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1.0)))
29.1b
(sqrt (- (* x x) 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×sqrt-prod add-log-exp
3×pow1 add-cube-cbrt
2×add-exp-log sqrt-div add-cbrt-cube
1×+-commutative rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 sum-log flip-- flip-+ distribute-lft-out difference-of-squares
Counts
2 → 28
Calls
2 calls:
20.0ms
(+ x (sqrt (- (* x x) 1.0)))
10.0ms
(sqrt (- (* x x) 1.0))

series108.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ x (sqrt (- (* x x) 1.0)))
47.0ms
(sqrt (- (* x x) 1.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0217221
1657211
22555205
35001204

prune114.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))
0.6b
(/ 1 (pow x 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod associate-/r*
11×add-exp-log
6×div-exp
4×cube-mult unpow3 associate-*r/ frac-add un-div-inv add-cbrt-cube add-log-exp sqr-pow
3×pow-to-exp rec-exp 1-exp pow-exp associate-/l*
2×pow1
1×cbrt-undiv +-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ div-inv inv-pow
Counts
2 → 88
Calls
2 calls:
12.0ms
(+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))
9.0ms
(/ 1 (pow x 3))

series105.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))
29.0ms
(/ 1 (pow x 3))

simplify48.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0287463
11424361
25001354

prune156.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219

end0.0ms

sample1.5s

Algorithm
intervals
Results
418.0ms7744×body160nan
392.0ms16366×body80nan
261.0ms8000×body80valid