Details

Time bar (total: 12.3s)

sample53.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
13.0ms243×body80nan

simplify150.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01114
12114
24113
36913
49413
511813
613113
713313
done13313

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite45.0ms

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))
12.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
21.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
110.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
97.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.4s

Counts
162 → 162
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02503612
15483468
218733294
done50003288

prune422.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
178×*-un-lft-identity times-frac
124×add-sqr-sqrt
82×add-cube-cbrt
31×associate-/r*
27×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
7×associate-/l*
6×div-inv
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-def log1p-expm1-u
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+ sum-log fma-udef
Counts
3 → 189
Calls
3 calls:
6.0ms
(+ (fma (sqrt x) 4.0 1.0) x)
25.0ms
(/ (+ (fma (sqrt x) 4.0 1.0) x) (- x 1.0))
28.0ms
(/ 6.0 (/ (+ (fma (sqrt x) 4.0 1.0) x) (- x 1.0)))

series208.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (fma (sqrt x) 4.0 1.0) x)
78.0ms
(/ (+ (fma (sqrt x) 4.0 1.0) x) (- x 1.0))
85.0ms
(/ 6.0 (/ (+ (fma (sqrt x) 4.0 1.0) x) (- x 1.0)))

simplify1.3s

Counts
198 → 198
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02644223
16054006
220943832
done50013818

prune521.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-prod
54×*-un-lft-identity
50×add-sqr-sqrt
28×cbrt-div
22×add-cube-cbrt
19×swap-sqr
18×pow1
15×associate-*r* associate-*l*
14×pow1/3
8×add-exp-log frac-times flip3-- flip-- distribute-lft-out-- unswap-sqr
6×flip3-+ flip-+ distribute-lft-out difference-of-squares
4×expm1-log1p-u associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 147
Calls
4 calls:
6.0ms
(cbrt (- x 1.0))
6.0ms
(cbrt (- x 1.0))
60.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
44.0ms
(* (cbrt (+ (fma (sqrt x) 4.0 1.0) x)) (cbrt (+ (fma (sqrt x) 4.0 1.0) x)))

series601.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (- x 1.0))
127.0ms
(cbrt (- x 1.0))
147.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
194.0ms
(* (cbrt (+ (fma (sqrt x) 4.0 1.0) x)) (cbrt (+ (fma (sqrt x) 4.0 1.0) x)))

simplify2.5s

Counts
159 → 159
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02482795
15562515
215262386
343902121
done50002119

prune745.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma (sqrt x) 4.0 1.0) x)
0.0b
(/ 1 (- x 1.0))
0.0b
(/ 6.0 (+ (fma (sqrt x) 4.0 1.0) x))
0.1b
(/ (/ 6.0 (+ (fma (sqrt x) 4.0 1.0) x)) (/ 1 (- x 1.0)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
635×*-un-lft-identity
493×add-sqr-sqrt
371×add-cube-cbrt
87×associate-/r/
71×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
44×div-inv
32×add-exp-log
30×associate-/r*
24×flip3-+ flip-+ associate-/l*
20×flip3-- add-cbrt-cube flip--
19×div-exp
10×cbrt-undiv
6×add-log-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u
3×rec-exp fma-def frac-2neg 1-exp clear-num
1×+-commutative associate-+l+ pow-flip sum-log fma-udef associate-/l/ inv-pow
Counts
4 → 539
Calls
4 calls:
10.0ms
(+ (fma (sqrt x) 4.0 1.0) x)
15.0ms
(/ 1 (- x 1.0))
11.0ms
(/ 6.0 (+ (fma (sqrt x) 4.0 1.0) x))
46.0ms
(/ (/ 6.0 (+ (fma (sqrt x) 4.0 1.0) x)) (/ 1 (- x 1.0)))

series259.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (fma (sqrt x) 4.0 1.0) x)
42.0ms
(/ 1 (- x 1.0))
66.0ms
(/ 6.0 (+ (fma (sqrt x) 4.0 1.0) x))
104.0ms
(/ (/ 6.0 (+ (fma (sqrt x) 4.0 1.0) x)) (/ 1 (- x 1.0)))

simplify1.1s

Counts
551 → 551
Iterations

Useful iterations: done (1.1s)

IterNodesCost
070216388
1199713997
done500013220

prune864.0ms

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
11113
done1113

end0.0ms

sample1.5s

Algorithm
intervals
Results
769.0ms8000×body80valid
430.0ms7865×body80nan