Details

Time bar (total: 1.9s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
173

prune1.0ms

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: 14.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

14.3b
(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
5.0ms
(/ x (+ (* x x) 1.0))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ x (+ (* x x) 1.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0171215
1589196
21979191
35002186

prune64.0ms

Filtered
34 candidates to 29 candidates (85.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New32234
Fresh000
Picked101
Done000
Total33235

Merged error: 0b

Counts
35 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

14.2b
(sqrt (+ (* x x) 1.0))
14.2b
(sqrt (+ (* x x) 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×sqrt-prod
4×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
2×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u add-log-exp
Counts
2 → 36
Calls
2 calls:
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series88.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(sqrt (+ (* x x) 1.0))
47.0ms
(sqrt (+ (* x x) 1.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0144222
1475214
22087206
35001202

prune89.0ms

Filtered
42 candidates to 38 candidates (90.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42042
Fresh011
Picked011
Done000
Total42244

Merged error: 0b

Counts
44 → 2

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (pow x 5))
0.4b
(/ 1 (pow x 3))
18.0b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
1934×times-frac
1319×add-sqr-sqrt
1235×*-un-lft-identity
1170×add-cube-cbrt
1000×prod-diff
650×unpow-prod-down
251×cube-prod
238×sqr-pow
79×cube-mult unpow3
72×div-inv
63×difference-of-squares
25×fma-neg
21×add-exp-log
19×associate-/r*
12×div-exp
7×add-cbrt-cube distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv pow-flip frac-2neg clear-num inv-pow
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
3 → 1240
Calls
3 calls:
5.0ms
(/ 1 (pow x 5))
5.0ms
(/ 1 (pow x 3))
70.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 1 (pow x 5))
35.0ms
(/ 1 (pow x 3))
94.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify289.0ms

Algorithm
egg-herbie
Counts
1249 → 1249
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0238131548
1500118062

prune380.0ms

Filtered
1249 candidates to 124 candidates (9.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New124901249
Fresh000
Picked011
Done011
Total124921251

Merged error: 0b

Counts
1251 → 2

regimes22.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.4b

bsearch69.0ms

Steps
ItersRangePoint
10
6.398614580632226
3002406562115.273
438.6757756148504
8
-8.290771990934074e+157
-1.320643602826964e+154
-1.337062526028986e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02915
12915

end0.0ms

sample272.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid