Details

Time bar (total: 850.0ms)

analyze1.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 100%

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.6b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

13.6b
(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ x (+ (* x x) 1.0))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ x (+ (* x x) 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0165210
1555195
21825192
35001192

prune53.0ms

Filtered
26 candidates to 32 candidates (-23.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
0.1b
(/ 1 (pow x 5))
0.4b
(/ 1 (pow x 3))
16.7b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
196×add-sqr-sqrt
173×times-frac
112×*-un-lft-identity
63×difference-of-squares
56×unpow-prod-down
47×add-cube-cbrt
40×sqr-pow
26×cube-prod
22×add-exp-log
19×associate-/r*
12×div-exp
add-cbrt-cube add-log-exp
distribute-lft-out--
pow-to-exp rec-exp 1-exp pow-exp div-inv associate-/l*
pow1 cube-mult associate-+l+ unpow3
sub-neg associate-*r/ frac-add
cbrt-undiv distribute-rgt-in flip3-- pow-flip frac-2neg distribute-lft-in clear-num frac-sub flip-- inv-pow
+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 227
Calls
4 calls:
50.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
4.0ms
(/ 1 (pow x 5))
5.0ms
(/ 1 (pow x 3))
43.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
4.0ms
(/ 1 (pow x 5))
3.0ms
(/ 1 (pow x 3))
8.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify90.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06872009
128791720
250011719

prune222.0ms

Filtered
92 candidates to 239 candidates (-159.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2390239
Fresh011
Picked011
Done011
Total2393242

Merged error: 0b

Counts
242 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (pow x 5))
18.0b
(- (+ x (pow x 5)) (pow x 3))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
difference-of-squares
pow1 add-exp-log add-cube-cbrt diff-log sum-log add-cbrt-cube distribute-lft-out distribute-lft-out--
+-commutative sub-neg unpow-prod-down flip3-- flip3-+ cube-prod associate--l+ flip-- flip-+ sqr-pow
Counts
2 → 32
Calls
2 calls:
4.0ms
(+ x (pow x 5))
9.0ms
(- (+ x (pow x 5)) (pow x 3))

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (pow x 5))
5.0ms
(- (+ x (pow x 5)) (pow x 3))

simplify89.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0145215
1489205
22613202
35003202

prune50.0ms

Filtered
24 candidates to 38 candidates (-58.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done022
Total38341

Merged error: 0b

Counts
41 → 3

regimes74.0ms

bsearch2.0ms

Profiling

Loading profile data...