Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms87×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
11.0ms
(+ 1.0 (sqrt (+ x 1.0)))
16.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series185.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ 1.0 (sqrt (+ x 1.0)))
139.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify32.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0278393
11058351
25002347

prune274.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.1b
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
0.1b
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
28×add-sqr-sqrt
26×times-frac
21×add-cube-cbrt
18×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r* associate-/r/
3×flip3-+ associate-*l* flip-+ associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
3 → 90
Calls
3 calls:
8.0ms
(+ 1.0 (sqrt (+ x 1.0)))
18.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
38.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

series279.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ 1.0 (sqrt (+ x 1.0)))
104.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
135.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0414731
11864625
25001586

prune142.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.0b
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
0.1b
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
53×add-sqr-sqrt
52×times-frac
37×add-cube-cbrt
35×sqrt-prod
30×associate-*r*
14×distribute-lft-out
10×add-exp-log add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
5×pow1 add-log-exp
4×associate-/r* associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 116
Calls
3 calls:
8.0ms
(+ 1.0 (sqrt (+ x 1.0)))
18.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
48.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series470.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ 1.0 (sqrt (+ x 1.0)))
287.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
137.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04911191
121421050
250021025

prune213.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample509.0ms

Algorithm
intervals
Results
312.0ms7998×body80valid
76.0ms2656×body80nan
0.0ms2×body1280valid