Details

Time bar (total: 2.3s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
173
done73

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize4.0ms

Local error

Found 1 expressions with local error:

17.5b
(/ x (+ (* x x) 1.0))

rewrite15.0ms

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:
14.0ms
(/ x (+ (* x x) 1.0))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ x (+ (* x x) 1.0))

simplify56.0ms

Counts
34 → 34
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0171215
1589196
21979191
35002186
done5002186

prune69.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

1.7b
(/ x (fma (- 1.0) 1.0 (pow x 4)))
22.5b
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*l*
9×add-exp-log add-cbrt-cube
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×pow1 associate-*r*
3×associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg flip3-- associate-*r/ div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 78
Calls
2 calls:
5.0ms
(/ x (fma (- 1.0) 1.0 (pow x 4)))
43.0ms
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

series272.0ms

Counts
2 → 6
Calls
2 calls:
156.0ms
(/ x (fma (- 1.0) 1.0 (pow x 4)))
115.0ms
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

simplify61.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0446816
12125716
25001706
done5001706

prune179.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (/ 1 x))
0.2b
(/ 1 (pow x 5))
0.2b
(/ 1 (pow x 3))
22.0b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
1934×times-frac
1320×add-sqr-sqrt
1236×*-un-lft-identity
1171×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
22×add-exp-log
19×associate-/r*
12×div-exp
8×add-cbrt-cube
7×distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp associate-/l* add-log-exp
4×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-- fma-udef
Counts
4 → 1250
Calls
4 calls:
0.0ms
(fma 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (/ 1 x))
9.0ms
(/ 1 (pow x 5))
9.0ms
(/ 1 (pow x 3))
113.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (/ 1 x))
44.0ms
(/ 1 (pow x 5))
35.0ms
(/ 1 (pow x 3))
100.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify255.0ms

Counts
1262 → 1262
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0241132445
1500218251
done500218251

prune480.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 24.1b

bsearch41.0ms

Steps
ItersRangePoint
3
892369.0132880388
1122163.5437744518
904431.5607004879
10
-1.8070707071506563e+17
-0.15939393977811658
-542649.7982661554

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03214
13214
done3214

end0.0ms

sample243.0ms

Algorithm
intervals
Results
129.0ms8000×body80valid