Details

Time bar (total: 17.7s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
05

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize5.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ x (fma x x 1.0))

rewrite4.0ms

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 log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
4.0ms
(/ x (fma x x 1.0))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(/ x (fma x x 1.0))

simplify1.5s

Counts
32 → 32
Iterations
IterNodes
done5001
31362
2451
1140
068

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ (/ 1.0 x) (* x x))))
0.1b
(/ (/ 1.0 x) (* x x))
0.4b
(/ 1.0 (pow x 5))
20.5b
(- (/ 1.0 (pow x 5)) (/ (/ 1.0 x) (* x x)))

rewrite568.0ms

Algorithm
rewrite-expression-head
Rules
1917×times-frac
965×add-sqr-sqrt
941×*-un-lft-identity
931×add-cube-cbrt
850×prod-diff
427×associate-+r+
330×unpow-prod-down
142×div-inv
112×sqr-pow
25×fma-neg
21×add-exp-log
18×add-cbrt-cube
16×associate-/l*
13×fma-def
12×difference-of-squares
11×add-log-exp
9×div-exp
8×associate-/r*
7×cbrt-undiv
4×expm1-log1p-u pow1 log1p-expm1-u distribute-lft-out
3×frac-add distribute-lft-out--
2×clear-num sum-log sub-neg frac-2neg flip3-- diff-log prod-exp frac-sub cbrt-unprod flip--
1×pow-to-exp +-commutative associate-+r- flip3-+ pow-exp flip-+ associate-/l/
Counts
4 → 1035
Calls
4 calls:
298.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ (/ 1.0 x) (* x x))))
22.0ms
(/ (/ 1.0 x) (* x x))
12.0ms
(/ 1.0 (pow x 5))
101.0ms
(- (/ 1.0 (pow x 5)) (/ (/ 1.0 x) (* x x)))

series802.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ (/ 1.0 x) (* x x))))
54.0ms
(/ (/ 1.0 x) (* x x))
89.0ms
(/ 1.0 (pow x 5))
580.0ms
(- (/ 1.0 (pow x 5)) (/ (/ 1.0 x) (* x x)))

simplify2.7s

Counts
1047 → 1047
Iterations
IterNodes
done5003
12605
01179

prune7.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

14.1b
(/ x (fma x x 1.0))
14.1b
(/ x (fma x x 1.0))
14.1b
(/ x (fma x x 1.0))
40.6b
(cbrt (* (* (/ x (fma x x 1.0)) (/ x (fma x x 1.0))) (/ x (fma x x 1.0))))

rewrite56.0ms

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 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 → 106
Calls
4 calls:
7.0ms
(/ x (fma x x 1.0))
7.0ms
(/ x (fma x x 1.0))
5.0ms
(/ x (fma x x 1.0))
32.0ms
(cbrt (* (* (/ x (fma x x 1.0)) (/ x (fma x x 1.0))) (/ x (fma x x 1.0))))

series471.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(/ x (fma x x 1.0))
111.0ms
(/ x (fma x x 1.0))
126.0ms
(/ x (fma x x 1.0))
125.0ms
(cbrt (* (* (/ x (fma x x 1.0)) (/ x (fma x x 1.0))) (/ x (fma x x 1.0))))

simplify2.2s

Counts
118 → 118
Iterations
IterNodes
done5004
32517
2732
1218
0105

prune655.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.3b

bsearch83.0ms

Steps
ItersRangePoint
11
3.4817375791661903e-26
573579.0075499975
508.8749887332333
8
-945879830.7474126
-409088.2864877689
-267060974.6176845

simplify7.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample570.0ms

Algorithm
intervals
Results
364.0ms8000×body80valid