Details

Time bar (total: 31.6s)

sample46.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
10.0ms211×body80nan

simplify403.0ms

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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

rewrite86.0ms

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:
1.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
23.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
34.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series254.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
88.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
122.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify3.4s

Counts
165 → 165
Iterations
IterNodes
done5001
22081
1629
0254

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize34.0ms

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)))

rewrite73.0ms

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:
1.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
39.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
27.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series305.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
138.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
116.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify6.0s

Counts
102 → 102
Iterations
IterNodes
done5000
34714
21162
1372
0147

prune771.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

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

rewrite309.0ms

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:
35.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
34.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
103.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
114.0ms
(cbrt (* (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

series464.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
84.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
150.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
122.0ms
(cbrt (* (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

simplify3.6s

Counts
208 → 208
Iterations
IterNodes
done5000
22260
1673
0210

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize102.0ms

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))))
0.0b
(* 6.0 (/ (+ (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))))

rewrite432.0ms

Algorithm
rewrite-expression-head
Rules
205×add-sqr-sqrt
197×*-un-lft-identity
195×sqrt-prod
170×times-frac
93×add-cube-cbrt
92×associate-*r*
52×difference-of-squares
34×add-cbrt-cube add-exp-log
26×distribute-lft-out distribute-lft-out--
14×associate-/l*
12×associate-/r* prod-exp cbrt-unprod
11×pow1
8×cbrt-undiv div-exp
4×expm1-log1p-u associate-*l* pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
3×unswap-sqr
2×clear-num frac-2neg *-commutative
1×frac-times flip3-+ flip3-- div-sub associate-*l/ flip-+ flip--
Counts
4 → 289
Calls
4 calls:
178.0ms
(* (* 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)))))
65.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
99.0ms
(* 6.0 (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
54.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

series1.6s

Counts
4 → 12
Calls
4 calls:
627.0ms
(* (* 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)))))
350.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
339.0ms
(* 6.0 (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
314.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

simplify6.1s

Counts
301 → 301
Iterations
IterNodes
done5005
23887
11043
0351

prune2.4s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.8s

Algorithm
intervals
Results
848.0ms7974×body80nan
528.0ms8000×body80valid