Details

Time bar (total: 1.3s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2

sample10.0ms (0.7%)

Algorithm
1×intervals
Results
5.0ms256×body80valid

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.5b

Counts
2 → 1

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

14.5b
(/ x (+ (* x x) 1.0))

rewrite9.0ms (0.7%)

Algorithm
1×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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls

1 calls:

8.0ms
(/ x (+ (* x x) 1.0))

series4.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

4.0ms
(/ x (+ (* x x) 1.0))

simplify62.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05303373

prune62.0ms (4.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New29332
Fresh000
Picked101
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (+ (* x x) 1.0))
14.2b
(* x (/ 1 (+ (* x x) 1.0)))

rewrite17.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls

2 calls:

9.0ms
(* x (/ 1 (+ (* x x) 1.0)))
6.0ms
(/ 1 (+ (* x x) 1.0))

series7.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

4.0ms
(* x (/ 1 (+ (* x x) 1.0)))
3.0ms
(/ 1 (+ (* x x) 1.0))

simplify47.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05253761

prune106.0ms (8.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh022
Picked011
Done000
Total77380

Merged error: 0b

Counts
80 → 3

localize9.0ms (0.7%)

Local error

Found 2 expressions with local error:

3.6b
(/ x (- (pow x 4) (* 1.0 1.0)))
19.1b
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite25.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
44×add-sqr-sqrt
37×times-frac
24×add-cube-cbrt *-un-lft-identity associate-*l*
22×difference-of-squares
9×add-exp-log add-cbrt-cube
7×unpow-prod-down sqr-pow
6×associate-/r*
4×pow1 flip3-- associate-*r* associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 91
Calls

2 calls:

16.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))
6.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))

series16.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
7.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

simplify50.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049771291
149771291

prune165.0ms (12.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done011
Total973100

Merged error: 0b

Counts
100 → 3

localize11.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.2b
(/ 1.0 (pow x 3))
0.3b
(/ 1.0 (pow x 5))
16.3b
(- (+ (/ 1.0 (pow x 5)) (/ 1 x)) (/ 1.0 (pow x 3)))

rewrite51.0ms (3.9%)

Algorithm
1×rewrite-expression-head
Rules
64×times-frac
57×add-sqr-sqrt *-un-lft-identity
44×add-cube-cbrt
25×unpow-prod-down
19×associate-/r*
13×add-exp-log cube-prod
9×sqr-pow
8×add-log-exp
7×add-cbrt-cube
6×div-exp associate-/l*
5×difference-of-squares
4×cube-mult unpow3 distribute-lft-out--
3×pow1 frac-sub div-inv distribute-lft-out
2×cbrt-undiv pow-to-exp frac-2neg diff-log pow-exp clear-num
1×sub-neg flip3-- flip3-+ frac-add associate--l+ sum-log flip-- flip-+
Counts
3 → 135
Calls

3 calls:

37.0ms
(- (+ (/ 1.0 (pow x 5)) (/ 1 x)) (/ 1.0 (pow x 3)))
5.0ms
(/ 1.0 (pow x 3))
4.0ms
(/ 1.0 (pow x 5))

series12.0ms (1%)

Counts
3 → 9
Calls

3 calls:

5.0ms
(- (+ (/ 1.0 (pow x 5)) (/ 1 x)) (/ 1.0 (pow x 3)))
4.0ms
(/ 1.0 (pow x 5))
3.0ms
(/ 1.0 (pow x 3))

simplify32.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
051351683

prune297.0ms (22.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done022
Total1443147

Merged error: 0b

Counts
147 → 3

regimes36.0ms (2.7%)

Accuracy

Total 0.0b remaining (80.7%)

Threshold costs 0.0b (80.7%)

bsearch22.0ms (1.7%)

Steps
ItersRangePoint
10
0.0004862905827468845
62261223539.84066
767.2537428637866
9
-1744667652411.9006
-5613911.5917952405
-2796513144.817297

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04533
14533

end0.0ms (0%)

sample242.0ms (18.5%)

Algorithm
1×intervals
Results
161.0ms8000×body80valid

Profiling

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