Details

Time bar (total: 3.8s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
167
done67

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.8b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ 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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
6.0ms
(/ x (+ (* x x) 1.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ x (+ (* x x) 1.0))

simplify834.0ms

Counts
32 → 32
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
074428
1174413
2474373
31247373
42953373
done5001373

prune58.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New28432
Fresh000
Picked101
Done000
Total29433

Merged error: 0b

Counts
33 → 4

localize7.0ms

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)))
14.7b
(sqrt (+ (* x x) 1.0))
14.7b
(sqrt (+ (* x x) 1.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×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 div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 262
Calls
4 calls:
18.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
8.0ms
(/ x (sqrt (+ (* x x) 1.0)))
5.0ms
(sqrt (+ (* x x) 1.0))
5.0ms
(sqrt (+ (* x x) 1.0))

series21.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
8.0ms
(/ x (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

simplify497.0ms

Counts
274 → 274
Iterations

Useful iterations: 2 (226.0ms)

IterNodesCost
03367324
17836480
222315885
done50015885

prune385.0ms

Filtered
150 candidates to 274 candidates (-82.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2740274
Fresh033
Picked011
Done000
Total2744278

Merged error: 0b

Counts
278 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (+ (* x x) 1.0))
14.5b
(* x (/ 1 (+ (* x x) 1.0)))

rewrite21.0ms

Algorithm
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:
7.0ms
(/ 1 (+ (* x x) 1.0))
11.0ms
(* x (/ 1 (+ (* x x) 1.0)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (+ (* x x) 1.0))
5.0ms
(* x (/ 1 (+ (* x x) 1.0)))

simplify647.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
0128985
1324863
2966725
32551725
done5000725

prune83.0ms

Filtered
49 candidates to 77 candidates (-57.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh022
Picked011
Done011
Total77481

Merged error: 0b

Counts
81 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ (* x x) 1.0) x))
14.7b
(/ (+ (* x x) 1.0) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 105
Calls
2 calls:
9.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
7.0ms
(/ (+ (* x x) 1.0) x)

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
8.0ms
(/ (+ (* x x) 1.0) x)

simplify662.0ms

Counts
111 → 111
Iterations

Useful iterations: 3 (292.0ms)

IterNodesCost
01721806
14121626
212111393
333301375
done50001375

prune96.0ms

Filtered
63 candidates to 111 candidates (-76.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh101
Picked101
Done112
Total1132115

Merged error: 0b

Counts
115 → 2

regimes24.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample336.0ms

Algorithm
intervals
Results
186.0ms8000×body80valid

Profiling

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