Details

Time bar (total: 8.7s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
057
176
done76

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize4.0ms

Local error

Found 1 expressions with local error:

15.7b
(/ x (fma x x 1.0))

rewrite3.0ms

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*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
2.0ms
(/ x (fma x x 1.0))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ x (fma x x 1.0))

simplify1.7s

Counts
32 → 32
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
068377
1132362
2323332
3775332
41942332
done5001332

prune71.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (fma x x 1.0))
15.6b
(* x (/ 1 (fma x x 1.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u 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:
2.0ms
(/ 1 (fma x x 1.0))
8.0ms
(* x (/ 1 (fma x x 1.0)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (fma x x 1.0))
70.0ms
(* x (/ 1 (fma x x 1.0)))

simplify1.8s

Counts
77 → 77
Iterations

Useful iterations: 3 (432.0ms)

IterNodesCost
0122880
1278729
2617643
31768642
done5000642

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma x x 1.0))
0.2b
(/ 1 (fma x x 1.0))
15.6b
(sqrt (/ 1 (fma x x 1.0)))
15.6b
(sqrt (/ 1 (fma x x 1.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
36×*-un-lft-identity
34×add-cube-cbrt
26×sqrt-prod
12×add-exp-log
10×pow1
8×add-cbrt-cube
6×rem-sqrt-square sqrt-pow1 associate-/r* associate-/l*
4×expm1-log1p-u pow-flip div-exp log1p-expm1-u div-inv inv-pow add-log-exp
2×cbrt-undiv rec-exp frac-2neg pow1/2 sqrt-div 1-exp clear-num
Counts
4 → 126
Calls
4 calls:
2.0ms
(/ 1 (fma x x 1.0))
2.0ms
(/ 1 (fma x x 1.0))
3.0ms
(sqrt (/ 1 (fma x x 1.0)))
3.0ms
(sqrt (/ 1 (fma x x 1.0)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 1 (fma x x 1.0))
50.0ms
(/ 1 (fma x x 1.0))
85.0ms
(sqrt (/ 1 (fma x x 1.0)))
87.0ms
(sqrt (/ 1 (fma x x 1.0)))

simplify954.0ms

Counts
138 → 138
Iterations

Useful iterations: 3 (282.0ms)

IterNodesCost
01251604
12381378
25311268
316181256
done50011256

prune232.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1.0 (pow x 5))
0.1b
(/ 1.0 (pow x 3))
16.5b
(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
909×times-frac
637×*-un-lft-identity
624×add-sqr-sqrt add-cube-cbrt
522×associate-+r+
520×prod-diff
150×unpow-prod-down
129×cube-prod
57×div-inv
50×sqr-pow
43×cube-mult unpow3
25×fma-def
19×associate-/r*
13×add-exp-log
8×add-log-exp
7×add-cbrt-cube
6×div-exp associate-/l*
4×distribute-lft-out
3×pow1 expm1-log1p-u frac-add log1p-expm1-u distribute-lft-out--
2×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num sum-log
1×+-commutative associate-+r- sub-neg flip3-- flip3-+ diff-log frac-sub flip-- flip-+
Counts
3 → 683
Calls
3 calls:
3.0ms
(/ 1.0 (pow x 5))
4.0ms
(/ 1.0 (pow x 3))
180.0ms
(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

series142.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ 1.0 (pow x 5))
38.0ms
(/ 1.0 (pow x 3))
54.0ms
(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

simplify1.7s

Counts
692 → 692
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
0104718731
1214315567
2414812075
done500012075

prune913.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.8b

bsearch48.0ms

Steps
ItersRangePoint
7
179.5191949529741
4368.076441928604
897.3710299305061
8
-3540160029299381.0
-131863331651.28616
-6092285729639.722

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02146
12832
done2832

end0.0ms

sample216.0ms

Algorithm
intervals
Results
132.0ms8000×body80valid