Details

Time bar (total: 11.5s)

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
05

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize19.0ms

Local error

Found 1 expressions with local error:

14.3b
(/ x (fma x x 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
9.0ms
(/ x (fma x x 1))

series69.0ms

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

simplify2.6s

Counts
33 → 33
Iterations
IterNodes
done5002
43912
3982
2350
1123
063

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 x) x)
0.1b
(* (/ 1 x) (/ (/ 1 x) x))
0.1b
(/ 1 (pow x 5))
21.5b
(+ (- (/ 1 x) (* (/ 1 x) (/ (/ 1 x) x))) (/ 1 (pow x 5)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
205×times-frac
156×add-sqr-sqrt
123×*-un-lft-identity
112×add-cube-cbrt
87×add-exp-log
46×div-exp
43×associate-*r*
32×add-cbrt-cube
20×prod-exp
17×pow1 div-inv
16×associate-/l*
15×associate-+l+ unswap-sqr
13×cbrt-undiv rec-exp 1-exp associate-*l* prod-diff
12×unpow-prod-down
10×associate-/r*
9×add-log-exp
7×frac-add
6×cbrt-unprod pow-flip inv-pow pow-div
4×expm1-log1p-u pow-prod-up insert-posit16 log1p-expm1-u sqr-pow
3×pow-to-exp fma-def associate-*l/ pow-exp associate-*r/ frac-sub
2×frac-times clear-num sum-log frac-2neg distribute-lft-out sub-div
1×+-commutative sub-neg flip3-+ flip3-- diff-log cube-unmult pow-prod-down *-commutative associate-+l- flip-+ flip-- associate-/l/
Counts
4 → 293
Calls
4 calls:
8.0ms
(/ (/ 1 x) x)
26.0ms
(* (/ 1 x) (/ (/ 1 x) x))
6.0ms
(/ 1 (pow x 5))
51.0ms
(+ (- (/ 1 x) (* (/ 1 x) (/ (/ 1 x) x))) (/ 1 (pow x 5)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ 1 x) x)
50.0ms
(* (/ 1 x) (/ (/ 1 x) x))
77.0ms
(/ 1 (pow x 5))
47.0ms
(+ (- (/ 1 x) (* (/ 1 x) (/ (/ 1 x) x))) (/ 1 (pow x 5)))

simplify2.0s

Counts
305 → 305
Iterations
IterNodes
done5005
22666
11169
0397

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

14.3b
(/ x (fma x x 1))
14.3b
(/ x (fma x x 1))
14.3b
(/ x (fma x x 1))
40.8b
(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
7×cbrt-div
5×frac-times associate-*l/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp associate-*r/ div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 110
Calls
4 calls:
7.0ms
(/ x (fma x x 1))
8.0ms
(/ x (fma x x 1))
7.0ms
(/ x (fma x x 1))
42.0ms
(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))

series314.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ x (fma x x 1))
68.0ms
(/ x (fma x x 1))
75.0ms
(/ x (fma x x 1))
101.0ms
(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))

simplify3.8s

Counts
122 → 122
Iterations
IterNodes
done5002
31846
2600
1194
099

prune480.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.4b

bsearch66.0ms

Steps
ItersRangePoint
7
57.56933376468871
1127.9279929291722
471.29821069866506
8
-29345360.474346694
-7508.589471958369
-2101569.4261024096

simplify6.0ms

Iterations
IterNodes
done25
125
018

end0.0ms

sample404.0ms

Algorithm
intervals
Results
316.0ms8000×body80valid