Details

Time bar (total: 10.5s)

sample25.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms269×body80nan

simplify79.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01114
12114
24013
36513
48913
511313
612613
712813
done12813

prune8.0ms

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

rewrite23.0ms

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))
5.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
10.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
85.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
93.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify755.0ms

Counts
162 → 162
Iterations

Useful iterations: done (749.0ms)

IterNodesCost
02503612
15623468
219093294
done50013292

prune427.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.3b
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.3b
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.3b
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
1.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
1.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
1.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))

series665.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
167.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
169.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
157.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.0s

Counts
93 → 93
Iterations

Useful iterations: 3 (390.0ms)

IterNodesCost
01121791
12591648
27101510
321771276
done50011276

prune364.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.3b
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.3b
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.3b
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
1.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
1.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
1.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))

series660.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
157.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
166.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
160.0ms
(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.0s

Counts
93 → 93
Iterations

Useful iterations: 3 (389.0ms)

IterNodesCost
01121791
12591648
27101510
321771276
done50011276

prune332.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))
0.3b
(/ (sqrt 6.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0))))
0.3b
(* (sqrt 6.0) (+ (sqrt 1.0) (sqrt x)))
0.7b
(* (* (sqrt 6.0) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt 6.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
774×times-frac
673×add-sqr-sqrt
501×*-un-lft-identity
465×sqrt-prod
325×add-cube-cbrt
208×associate-*r*
172×difference-of-squares
86×distribute-lft-out--
42×associate-/r*
34×add-exp-log add-cbrt-cube
30×associate-/r/
16×div-inv
14×flip3-- flip--
11×pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod
9×associate-/l*
7×associate-*r/ associate-*l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×flip3-+ flip-+
2×frac-times frac-2neg associate-*l/ clear-num *-commutative distribute-lft-out unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
4 → 572
Calls
4 calls:
11.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))
21.0ms
(/ (sqrt 6.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0))))
23.0ms
(* (sqrt 6.0) (+ (sqrt 1.0) (sqrt x)))
100.0ms
(* (* (sqrt 6.0) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt 6.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
332.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))
323.0ms
(/ (sqrt 6.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0))))
101.0ms
(* (sqrt 6.0) (+ (sqrt 1.0) (sqrt x)))
830.0ms
(* (* (sqrt 6.0) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt 6.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))

simplify961.0ms

Counts
584 → 584
Iterations

Useful iterations: done (936.0ms)

IterNodesCost
063717921
1193016502
done500016438

prune1.4s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes21.0ms

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
01013
11113
done1113

end0.0ms

sample628.0ms

Algorithm
intervals
Results
236.0ms8000×body80valid
211.0ms8101×body80nan