Details

Time bar (total: 35.4s)

sample43.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms262×body80nan

simplify122.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01114
12114
24113
37013
49913
512813
614113
714313
done14313

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite36.0ms

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))
11.0ms
(/ (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)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
76.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
83.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.6s

Counts
162 → 162
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02503612
16313490
230383298
done50013288

prune475.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

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 4.0 (sqrt x) (+ x 1.0))
48.0ms
(* 6.0 (/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0))))
22.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(fma 4.0 (sqrt x) (+ x 1.0))
104.0ms
(* 6.0 (/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0))))
102.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0)))

simplify930.0ms

Counts
99 → 99
Iterations

Useful iterations: done (926.0ms)

IterNodesCost
01431667
13731623
215361463
done50011459

prune368.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
8×add-log-exp
5×pow1 associate-*r*
4×fma-def associate-*r/
3×expm1-log1p-u times-frac associate-*l* associate-/r* sum-log log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+l+ frac-2neg pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 92
Calls
3 calls:
49.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
38.0ms
(* 6.0 (- x 1.0))
64.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series229.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
62.0ms
(* 6.0 (- x 1.0))
113.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.4s

Counts
101 → 101
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01871534
15141348
223601075
done50021043

prune283.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.8s

Algorithm
rewrite-expression-head
Rules
25326×times-frac
15653×*-un-lft-identity
13901×add-sqr-sqrt
12335×sqrt-prod
8373×add-cube-cbrt
2764×difference-of-squares
2258×distribute-lft-out
1382×distribute-lft-out--
669×associate-/r/
366×div-inv
188×flip3-+ flip-+
128×associate-/l*
115×flip3-- flip--
110×associate-/r*
34×add-exp-log add-cbrt-cube
20×cbrt-undiv div-exp
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
4 → 7285
Calls
4 calls:
37.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0)))
41.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))
34.0ms
(/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0))))
401.0ms
(/ (/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))

series2.2s

Counts
4 → 12
Calls
4 calls:
644.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0)))
623.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))
362.0ms
(/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0))))
586.0ms
(/ (/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))

simplify3.9s

Counts
7297 → 7297
Iterations

Useful iterations: done (3.0s)

IterNodesCost
04275487464
done5000453150

prune18.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample1.5s

Algorithm
intervals
Results
571.0ms8084×body80nan
511.0ms8000×body80valid