Details

Time bar (total: 2.8s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
173

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize4.0ms

Local error

Found 1 expressions with local error:

14.4b
(/ x (+ (* x x) 1.0))

rewrite7.0ms

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:
6.0ms
(/ x (+ (* x x) 1.0))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ x (+ (* x x) 1.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0171215
1589196
21979191
35002186

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
0.0b
(/ x (sqrt (+ (* x x) 1.0)))
14.3b
(sqrt (+ (* x x) 1.0))
14.3b
(sqrt (+ (* x x) 1.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
166×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
9×div-inv
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num hypot-def
1×associate-/l/
Counts
4 → 272
Calls
4 calls:
21.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
7.0ms
(/ x (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
5.0ms
(sqrt (+ (* x x) 1.0))

series274.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
125.0ms
(/ x (sqrt (+ (* x x) 1.0)))
42.0ms
(sqrt (+ (* x x) 1.0))
48.0ms
(sqrt (+ (* x x) 1.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07933899
130513471
250023383

prune440.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (pow x 5))
0.3b
(/ 1 (pow x 3))
18.5b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite224.0ms

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:
4.0ms
(/ 1 (pow x 5))
5.0ms
(/ 1 (pow x 3))
90.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ 1 (pow x 5))
36.0ms
(/ 1 (pow x 3))
98.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify266.0ms

Algorithm
egg-herbie
Counts
1249 → 1249
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0238131548
1500118062

prune450.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

19.5b
(- (+ x (pow x 5)) (pow x 3))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
48×prod-diff
33×add-sqr-sqrt
26×add-cube-cbrt
14×distribute-lft-out
13×unpow-prod-down cube-prod
6×add-log-exp
5×sqr-pow
4×cube-mult fma-neg unpow3 difference-of-squares
2×diff-log distribute-lft-out--
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- associate--l+ sum-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 74
Calls
1 calls:
54.0ms
(- (+ x (pow x 5)) (pow x 3))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(- (+ x (pow x 5)) (pow x 3))

simplify51.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0266928
1940666
25001663

prune62.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes53.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.9b

bsearch52.0ms

Steps
ItersRangePoint
9
0.004380743253548005
488.5072251079851
408.77011000092864
7
-13392682218040.88
-146662999352.95746
-11396411610485.037

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
12710

end0.0ms

sample236.0ms

Algorithm
intervals
Results
148.0ms8000×body80valid