Details

Time bar (total: 9.7s)

sample59.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
22.0ms213×body80nan

simplify116.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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))
0.0b
(/ 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))
11.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
14.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series242.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
87.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
108.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify608.0ms

Counts
165 → 165
Iterations
IterNodes
done2000
1631
0254

prune635.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
726×times-frac
425×add-sqr-sqrt *-un-lft-identity
321×add-cube-cbrt
84×associate-/r*
52×distribute-lft-out-- difference-of-squares
36×add-exp-log
23×div-inv
22×div-exp
20×add-cbrt-cube
11×associate-/l*
10×cbrt-undiv
6×associate-/r/
5×pow1
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×flip3-- div-sub fma-udef pow-flip flip-- inv-pow
Counts
4 → 430
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
10.0ms
(/ 1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
12.0ms
(/ 6.0 (/ 1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
17.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series349.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
103.0ms
(/ 1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
109.0ms
(/ 6.0 (/ 1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
85.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1000.0ms

Counts
442 → 442
Iterations
IterNodes
done2000
11603
0593

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 52
Calls
2 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
15.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
89.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify384.0ms

Counts
58 → 58
Iterations
IterNodes
done2001
2634
1238
0102

prune511.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt x) (sqrt 1.0))
0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.1b
(* (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))))
0.2b
(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
127×add-sqr-sqrt
94×*-un-lft-identity
89×sqrt-prod
58×add-cube-cbrt
55×times-frac
36×prod-diff
32×difference-of-squares
31×associate-*r*
16×distribute-lft-out--
11×add-cbrt-cube add-exp-log
9×associate-/l*
6×pow1 fma-neg add-log-exp
5×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r*
2×frac-times cbrt-undiv flip3-+ flip3-- div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv flip-- distribute-lft-out unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*r/ *-commutative fma-udef
Counts
4 → 190
Calls
4 calls:
8.0ms
(- (sqrt x) (sqrt 1.0))
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
58.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))))
30.0ms
(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))

series771.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (sqrt x) (sqrt 1.0))
41.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
481.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))))
188.0ms
(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify575.0ms

Counts
202 → 202
Iterations
IterNodes
done2001
1822
0303

prune572.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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
829.0ms8000×body80valid
732.0ms7964×body80nan