Details

Time bar (total: 13.2s)

sample67.0ms

Algorithm
intervals
Results
27.0ms303×body80nan
25.0ms256×body80valid

simplify134.0ms

Counts
1 → 1
Iterations
IterNodes
done129
8129
7128
6126
5109
484
362
238
121
011

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.1b
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×fma-udef
Counts
3 → 156
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
10.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
15.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series269.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
102.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
116.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.5s

Counts
165 → 165
Iterations
IterNodes
done5000
22097
1631
0254

prune695.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 4.0 (sqrt x) (+ x 1.0))
0.0b
(* 6.0 (/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0))))
0.1b
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative fma-udef flip--
Counts
3 → 93
Calls
3 calls:
0.0ms
(fma 4.0 (sqrt x) (+ x 1.0))
23.0ms
(* 6.0 (/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0))))
18.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0)))

series264.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma 4.0 (sqrt x) (+ x 1.0))
116.0ms
(* 6.0 (/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0))))
108.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0)))

simplify2.5s

Counts
102 → 102
Iterations
IterNodes
done5000
34816
21164
1371
0147

prune426.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
0.1b
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
0.1b
(* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))))
0.1b
(cbrt (* (* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
116×add-sqr-sqrt
106×times-frac
64×add-cube-cbrt
26×distribute-lft-out--
25×swap-sqr
20×add-cbrt-cube add-exp-log difference-of-squares
19×associate-*r* associate-*l*
11×pow1
10×associate-/l*
7×cbrt-div
6×frac-times cbrt-undiv associate-/r* div-exp associate-*l/ div-inv
4×expm1-log1p-u prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr associate-/l/
2×clear-num frac-2neg flip3-- div-sub flip--
1×cbrt-prod pow2 pow-plus pow1/3 pow3 pow-prod-down pow-sqr *-commutative pow-prod-up rem-cbrt-cube
Counts
4 → 196
Calls
4 calls:
12.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
15.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
31.0ms
(* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))))
47.0ms
(cbrt (* (* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
99.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
106.0ms
(* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))))
91.0ms
(cbrt (* (* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))))

simplify1.7s

Counts
208 → 208
Iterations
IterNodes
done5000
22141
1671
0211

prune940.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 6.0 (/ (- x 1.0) (+ (fma 4.0 (sqrt x) x) 1.0)))
0.0b
(fma 4.0 (sqrt x) x)
0.1b
(/ (- x 1.0) (+ (fma 4.0 (sqrt x) x) 1.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
48×add-sqr-sqrt
41×times-frac
26×associate-*r*
25×add-cube-cbrt
11×distribute-lft-out
10×add-cbrt-cube add-exp-log
9×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r* associate-/r/
3×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative fma-udef flip--
Counts
3 → 108
Calls
3 calls:
27.0ms
(* 6.0 (/ (- x 1.0) (+ (fma 4.0 (sqrt x) x) 1.0)))
0.0ms
(fma 4.0 (sqrt x) x)
28.0ms
(/ (- x 1.0) (+ (fma 4.0 (sqrt x) x) 1.0))

series237.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(* 6.0 (/ (- x 1.0) (+ (fma 4.0 (sqrt x) x) 1.0)))
53.0ms
(fma 4.0 (sqrt x) x)
81.0ms
(/ (- x 1.0) (+ (fma 4.0 (sqrt x) x) 1.0))

simplify1.4s

Counts
117 → 117
Iterations
IterNodes
done5001
21477
1441
0167

prune434.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.8s

Algorithm
intervals
Results
814.0ms8000×body80valid
735.0ms8149×body80nan