Details

Time bar (total: 2.7s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms84×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

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))))

rewrite15.0ms

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:
6.0ms
(+ 1.0 (sqrt (+ x 1.0)))
8.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series183.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ 1.0 (sqrt (+ x 1.0)))
139.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify34.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0278393
11058351
25002347

prune92.0ms

Filtered
51 candidates to 38 candidates (74.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New47451
Fresh000
Picked011
Done000
Total47552

Merged error: 0.0b

Counts
52 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.1b
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.2b
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
95×*-un-lft-identity
61×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
17×distribute-lft-out
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative pow-flip sum-log associate-/r/ inv-pow
Counts
3 → 133
Calls
3 calls:
6.0ms
(+ 1.0 (sqrt (+ x 1.0)))
8.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
10.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series260.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ 1.0 (sqrt (+ x 1.0)))
81.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
136.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify65.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05551323
125371176
250011089

prune154.0ms

Filtered
142 candidates to 73 candidates (51.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh033
Picked011
Done011
Total1425147

Merged error: 0.0b

Counts
147 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.2b
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
0.2b
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
6.4b
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-prod *-un-lft-identity
51×times-frac
44×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down cube-prod
17×associate-/r*
13×distribute-lft-out
7×add-exp-log
6×cube-div cube-mult unpow3 add-cbrt-cube add-log-exp sqr-pow
5×pow1
4×cbrt-div flip3-+ flip-+
3×pow-unpow associate-/l*
2×associate-/r/
1×cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num sum-log rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 149
Calls
4 calls:
6.0ms
(+ 1.0 (sqrt (+ x 1.0)))
13.0ms
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
7.0ms
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
7.0ms
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

series339.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ 1.0 (sqrt (+ x 1.0)))
137.0ms
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
114.0ms
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
42.0ms
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

simplify67.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04981438
121741302
250021278

prune201.0ms

Filtered
161 candidates to 79 candidates (49.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1610161
Fresh022
Picked011
Done022
Total1615166

Merged error: 0.0b

Counts
166 → 5

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

rewrite36.0ms

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:
6.0ms
(+ 1.0 (sqrt (+ x 1.0)))
8.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
17.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series471.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ 1.0 (sqrt (+ x 1.0)))
295.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
135.0ms
(* (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

prune195.0ms

Filtered
125 candidates to 76 candidates (60.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1241125
Fresh011
Picked011
Done123
Total1255130

Merged error: 0b

Counts
130 → 5

regimes44.0ms

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
084
184

end0.0ms

sample323.0ms

Algorithm
intervals
Results
162.0ms7997×body80valid
44.0ms2610×body80nan
0.0ms3×body1280valid