Details

Time bar (total: 8.0s)

sample24.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms276×body80nan

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01114
12114
24013
36513
48913
511313
612613
712813
done12813

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite22.0ms

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-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×fma-udef
Counts
3 → 153
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
6.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
9.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
76.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
82.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify827.0ms

Counts
162 → 162
Iterations

Useful iterations: done (821.0ms)

IterNodesCost
02503612
15623468
219113294
done50003292

prune385.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- fma-udef
Counts
3 → 90
Calls
3 calls:
14.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
8.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
40.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
74.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.7s

Counts
99 → 99
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01431667
13541615
29551455
331161453
done50001452

prune235.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.5b
(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
14×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×log1p-expm1-u associate-/l*
4×pow1 expm1-log1p-u distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg div-sub log1p-expm1 div-exp clear-num flip-- fma-udef div-inv expm1-udef
Counts
4 → 72
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
0.0ms
(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
11.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.0ms
(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

series421.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
186.0ms
(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
76.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
117.0ms
(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01351385
13021331
27321203
320841191
done50001190

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
0.2b
(* (* 6.0 (- x 1.0)) (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
35×*-un-lft-identity
33×add-cube-cbrt
32×add-exp-log
20×add-cbrt-cube
18×times-frac associate-*r* prod-diff
13×prod-exp
12×pow1
11×distribute-rgt-in distribute-lft-in
7×associate-*r/ cbrt-unprod
6×div-exp
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp flip3-- 1-exp associate-/r* flip-- associate-/l*
2×frac-times sub-neg associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num un-div-inv fma-udef distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 133
Calls
4 calls:
12.0ms
(* 6.0 (- x 1.0))
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
2.0ms
(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
18.0ms
(* (* 6.0 (- x 1.0)) (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 6.0 (- x 1.0))
42.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
61.0ms
(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
82.0ms
(* (* 6.0 (- x 1.0)) (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))))

simplify1.3s

Counts
145 → 145
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02242299
15321982
215011625
done50001607

prune244.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11415
done1415

end0.0ms

sample623.0ms

Algorithm
intervals
Results
244.0ms8000×body80valid
205.0ms8134×body80nan