Details

Time bar (total: 14.8s)

sample44.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms245×body80nan

simplify137.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01114
12114
24113
36913
49413
511813
613113
713313
done13313

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite41.0ms

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))
16.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
17.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series250.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
98.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
105.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.5s

Counts
162 → 162
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02503612
15483468
218733294
done50003288

prune569.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

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

rewrite80.0ms

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:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
43.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
33.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series251.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
106.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
98.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify2.2s

Counts
99 → 99
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01431667
13491615
29561455
330681453
done50011452

prune264.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.1b
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0))))
0.2b
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))
0.2b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
417×times-frac
387×add-sqr-sqrt
282×*-un-lft-identity
178×add-cube-cbrt
152×sqrt-prod
104×associate-*r*
100×difference-of-squares
50×distribute-lft-out--
42×associate-/r*
20×add-exp-log add-cbrt-cube
18×associate-/r/
10×div-inv
8×flip3-- flip--
7×cbrt-undiv div-exp
6×pow1 associate-/l*
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod unswap-sqr
2×frac-times frac-2neg flip3-+ associate-*l/ clear-num flip-+ distribute-lft-out
1×associate-*r/ pow-prod-down *-commutative fma-udef
Counts
4 → 351
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
36.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0))))
167.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))
30.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
232.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0))))
555.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))
401.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))

simplify2.5s

Counts
363 → 363
Iterations

Useful iterations: done (2.4s)

IterNodesCost
04799964
112339364
249058788
done50008785

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b
(/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.1b
(* (/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
0.2b
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
108×times-frac
95×*-un-lft-identity
69×add-cube-cbrt
63×sqrt-prod
34×associate-*r*
22×associate-*l*
20×add-exp-log add-cbrt-cube
13×distribute-lft-out-- difference-of-squares
12×associate-/r*
9×unswap-sqr
8×associate-/l*
7×pow1
6×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 201
Calls
4 calls:
2.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
6.0ms
(/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
66.0ms
(* (/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
38.0ms
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

series513.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
152.0ms
(/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
113.0ms
(* (/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
167.0ms
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

simplify1.4s

Counts
213 → 213
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02565082
16964720
221494192
done50014176

prune634.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample1.6s

Algorithm
intervals
Results
840.0ms8000×body80valid
402.0ms7863×body80nan