Details

Time bar (total: 2.5s)

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ x (+ (* x x) 1.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0171215
1589196
21979191
35002186

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (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))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
30×sqrt-prod
12×associate-/r*
10×add-exp-log
8×pow1 sqrt-div add-cbrt-cube
6×associate-/l*
4×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
3×pow-flip sqrt-pow1 pow1/2 div-exp
2×cbrt-undiv rem-sqrt-square frac-2neg clear-num hypot-def div-inv
1×rec-exp 1-exp inv-pow
Counts
4 → 128
Calls
4 calls:
8.0ms
(/ 1 (sqrt (+ (* x x) 1.0)))
7.0ms
(/ x (sqrt (+ (* x x) 1.0)))
5.0ms
(sqrt (+ (* x x) 1.0))
5.0ms
(sqrt (+ (* x x) 1.0))

series288.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ 1 (sqrt (+ (* x x) 1.0)))
126.0ms
(/ x (sqrt (+ (* x x) 1.0)))
40.0ms
(sqrt (+ (* x x) 1.0))
45.0ms
(sqrt (+ (* x x) 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0409999
11612916
25001867

prune277.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

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)))

rewrite223.0ms

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))
89.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 1 (pow x 5))
30.0ms
(/ 1 (pow x 3))
101.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify268.0ms

Algorithm
egg-herbie
Counts
1249 → 1249
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0238131548
1500118062

prune452.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

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:
53.0ms
(- (+ x (pow x 5)) (pow x 3))

series44.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(- (+ x (pow x 5)) (pow x 3))

simplify52.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0266928
1940666
25001663

prune61.0ms

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

bsearch53.0ms

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

sample222.0ms

Algorithm
intervals
Results
135.0ms8000×body80valid