Details

Time bar (total: 10.6s)

sample31.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
8.0ms253×body80nan

simplify100.0ms

Counts
1 → 1
Iterations
IterNodes
done143
7143
6141
5128
499
370
241
121
011

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite348.0ms

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* 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 → 90
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
35.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
309.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series252.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
107.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
106.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify734.0ms

Counts
99 → 99
Iterations
IterNodes
done5001
21541
1374
0144

prune447.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt x) 4.0 x)
0.0b
(/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0))
0.0b
(* 6.0 (/ 1 (/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0))))
0.1b
(/ 1 (/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
322×times-frac
290×*-un-lft-identity
220×add-sqr-sqrt
140×add-cube-cbrt
83×associate-*r*
41×distribute-lft-out
36×add-exp-log
33×distribute-lft-out-- difference-of-squares
31×associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip--
7×pow1 cbrt-undiv prod-exp associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-*l* cbrt-unprod
2×clear-num frac-2neg associate-/l/
1×flip3-+ pow-prod-down associate-*r/ un-div-inv *-commutative flip-+ fma-udef pow-flip inv-pow
Counts
4 → 301
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 x)
21.0ms
(/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0))
69.0ms
(* 6.0 (/ 1 (/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0))))
29.0ms
(/ 1 (/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma (sqrt x) 4.0 x)
77.0ms
(/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0))
103.0ms
(* 6.0 (/ 1 (/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0))))
97.0ms
(/ 1 (/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0)))

simplify539.0ms

Counts
313 → 313
Iterations
IterNodes
done5000
1972
0342

prune853.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 4.0 (sqrt x) x)
0.0b
(* 6.0 (* 1 (/ (* 1 (- x 1.0)) (+ 1.0 (fma 4.0 (sqrt x) x)))))
0.0b
(/ (* 1 (- x 1.0)) (+ 1.0 (fma 4.0 (sqrt x) x)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
23×prod-exp
22×add-cbrt-cube
10×*-un-lft-identity
9×div-exp cbrt-unprod
8×pow1
7×1-exp
6×add-sqr-sqrt add-cube-cbrt
4×cbrt-undiv associate-/r* times-frac associate-*r/
3×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
2×associate-/r/ distribute-lft-out associate-/l/
1×clear-num frac-2neg flip3-+ flip3-- associate-*r* *-commutative flip-+ fma-udef div-inv flip-- associate-/l*
Counts
3 → 70
Calls
3 calls:
0.0ms
(fma 4.0 (sqrt x) x)
88.0ms
(* 6.0 (* 1 (/ (* 1 (- x 1.0)) (+ 1.0 (fma 4.0 (sqrt x) x)))))
35.0ms
(/ (* 1 (- x 1.0)) (+ 1.0 (fma 4.0 (sqrt x) x)))

series222.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(fma 4.0 (sqrt x) x)
91.0ms
(* 6.0 (* 1 (/ (* 1 (- x 1.0)) (+ 1.0 (fma 4.0 (sqrt x) x)))))
83.0ms
(/ (* 1 (- x 1.0)) (+ 1.0 (fma 4.0 (sqrt x) x)))

simplify1.3s

Counts
79 → 79
Iterations
IterNodes
done5000
22734
1479
0160

prune272.0ms

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

rewrite415.0ms

Algorithm
rewrite-expression-head
Rules
277×*-un-lft-identity
247×add-sqr-sqrt
246×sqrt-prod
208×times-frac
97×add-cube-cbrt
70×associate-*r*
60×distribute-lft-out difference-of-squares
44×associate-*l*
38×add-cbrt-cube add-exp-log
30×distribute-lft-out--
14×associate-/r* associate-/l*
13×prod-exp cbrt-unprod
11×pow1
10×cbrt-undiv div-exp
9×unswap-sqr
8×sqrt-div associate-/r/
5×flip3-+ associate-*r/ flip-+
4×expm1-log1p-u pow-prod-down log1p-expm1-u div-inv add-log-exp associate-/l/
2×frac-times clear-num frac-2neg associate-*l/ *-commutative
1×flip3-- div-sub flip--
Counts
4 → 333
Calls
4 calls:
131.0ms
(* 6.0 (* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0)))))
30.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0)))
184.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0))))
44.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
420.0ms
(* 6.0 (* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0)))))
229.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0)))
432.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0))))
267.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (fma (sqrt x) 4.0 x) 1.0)))

simplify452.0ms

Counts
345 → 345
Iterations
IterNodes
done5000
11140
0370

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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
done21
221
119
013

end0.0ms

sample1.3s

Algorithm
intervals
Results
545.0ms8000×body80valid
449.0ms7946×body80nan