Details

Time bar (total: 18.9s)

sample52.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
14.0ms270×body80nan

simplify125.0ms

Counts
1 → 1
Iterations
IterNodes
done129
8129
7128
6126
5109
484
362
238
121
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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)))

rewrite47.0ms

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-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×fma-udef
Counts
3 → 153
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
13.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
19.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series272.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
100.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
117.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.6s

Counts
162 → 162
Iterations
IterNodes
done5000
22079
1628
0251

prune723.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
33×*-un-lft-identity
31×add-cube-cbrt
19×times-frac
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-*r*
3×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-times cbrt-undiv sub-neg flip3-- div-exp prod-exp associate-*r/ cbrt-unprod div-inv flip-- unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative fma-udef distribute-lft-out-- difference-of-squares
Counts
3 → 101
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
4.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
28.0ms
(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))

series195.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
65.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
87.0ms
(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))

simplify1.6s

Counts
110 → 110
Iterations
IterNodes
done5001
21477
1550
0197

prune533.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize55.0ms

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
708×times-frac
564×add-sqr-sqrt *-un-lft-identity
464×sqrt-prod
316×add-cube-cbrt
124×difference-of-squares
110×associate-/r*
62×distribute-lft-out distribute-lft-out--
24×add-exp-log
22×associate-/r/
18×add-cbrt-cube associate-/l*
12×div-exp div-inv
8×cbrt-undiv
5×pow1 flip3-+ flip3-- flip-+ flip--
4×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
2×rec-exp 1-exp
1×pow-flip inv-pow
Counts
4 → 572
Calls
4 calls:
24.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0)))
22.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))
39.0ms
(/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))
37.0ms
(/ 1 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0))))

series1.9s

Counts
4 → 12
Calls
4 calls:
654.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0)))
585.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))
355.0ms
(/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))
270.0ms
(/ 1 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0))))

simplify2.8s

Counts
584 → 584
Iterations
IterNodes
done5000
24567
11627
0609

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize45.0ms

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))))
0.1b
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))
0.3b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))

rewrite187.0ms

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-cbrt-cube add-exp-log
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 clear-num frac-2neg flip3-+ associate-*l/ flip-+ distribute-lft-out
1×pow-prod-down associate-*r/ *-commutative fma-udef
Counts
4 → 351
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
23.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0))))
114.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))
25.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
214.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0))))
510.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))
391.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))

simplify1.8s

Counts
363 → 363
Iterations
IterNodes
done5001
11417
0484

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.7s

Algorithm
intervals
Results
908.0ms8000×body80valid
468.0ms7925×body80nan