Details

Time bar (total: 18.4s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
05

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize5.0ms

Local error

Found 1 expressions with local error:

12.2b
(/ 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))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ x (fma x x 1.0))

simplify1.2s

Counts
32 → 32
Iterations
IterNodes
done5000
32280
2480
1140
068

prune151.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (- (pow x 5) (pow x 3)))
14.9b
(- (pow x 5) (pow x 3))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
168×prod-diff
124×unpow-prod-down
112×add-sqr-sqrt
102×*-un-lft-identity
95×add-cube-cbrt
86×associate-+r+
46×sqr-pow
45×cube-prod
14×cube-mult unpow3
12×difference-of-squares
9×add-log-exp
7×fma-neg
3×fma-def
2×expm1-log1p-u pow1 sum-log sub-neg add-cbrt-cube diff-log add-exp-log log1p-expm1-u distribute-lft-out distribute-lft-out--
1×+-commutative associate-+r- flip3-+ flip3-- flip-+ flip--
Counts
2 → 224
Calls
2 calls:
71.0ms
(+ x (- (pow x 5) (pow x 3)))
25.0ms
(- (pow x 5) (pow x 3))

series207.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ x (- (pow x 5) (pow x 3)))
144.0ms
(- (pow x 5) (pow x 3))

simplify1.3s

Counts
230 → 230
Iterations
IterNodes
done5000
22194
1587
0253

prune550.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
0.2b
(/ 1.0 (pow x 5))
0.3b
(/ 1.0 (pow x 3))
21.2b
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

rewrite811.0ms

Algorithm
rewrite-expression-head
Rules
3607×times-frac
2350×add-sqr-sqrt
2310×*-un-lft-identity
2288×add-cube-cbrt
2000×prod-diff
1212×unpow-prod-down
1002×associate-+r+
466×cube-prod
410×sqr-pow
154×cube-mult unpow3
138×div-inv
25×fma-neg
20×difference-of-squares
19×associate-/r*
14×add-exp-log
13×fma-def
11×add-log-exp
8×add-cbrt-cube distribute-lft-out--
6×div-exp associate-/l*
5×distribute-lft-out
4×expm1-log1p-u pow1 log1p-expm1-u
3×frac-add
2×pow-to-exp cbrt-undiv clear-num sum-log sub-neg frac-2neg flip3-- diff-log pow-exp frac-sub flip--
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 2217
Calls
4 calls:
326.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
6.0ms
(/ 1.0 (pow x 5))
8.0ms
(/ 1.0 (pow x 3))
113.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
66.0ms
(/ 1.0 (pow x 5))
74.0ms
(/ 1.0 (pow x 3))
199.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify3.4s

Counts
2229 → 2229
Iterations
IterNodes
done5000
14090
01934

prune9.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.3b

bsearch77.0ms

Steps
ItersRangePoint
10
5.09324609688744e-06
47495130.80298876
476.33445129265164
6
-531429590.62988466
-72632609.50044116
-294452774.0635044

simplify5.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample614.0ms

Algorithm
intervals
Results
404.0ms8000×body80valid