Details

Time bar (total: 18.6s)

sample41.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
11.0ms248×body80nan

simplify105.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)))

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-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×fma-udef
Counts
3 → 156
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))
24.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
97.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
119.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.6s

Counts
165 → 165
Iterations
IterNodes
done5000
22097
1631
0254

prune703.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 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
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)
0.0b
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
440×add-sqr-sqrt *-un-lft-identity
336×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
32×add-exp-log
27×associate-/l*
23×div-inv
20×add-cbrt-cube
19×div-exp
17×flip3-- flip--
10×cbrt-undiv
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp clear-num frac-2neg 1-exp
1×fma-udef pow-flip inv-pow associate-/l/
Counts
4 → 455
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
11.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
23.0ms
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)
50.0ms
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))

series313.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
86.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
88.0ms
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)
90.0ms
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))

simplify2.6s

Counts
467 → 467
Iterations
IterNodes
done5017
24107
11688
0622

prune2.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

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

rewrite209.0ms

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 insert-posit16 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 → 355
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
40.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0))))
117.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))
23.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
209.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0))))
593.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))))
395.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- (sqrt x) (sqrt 1.0)))

simplify1.7s

Counts
367 → 367
Iterations
IterNodes
done5000
11423
0488

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 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)))
0.2b
(* (+ (sqrt x) (sqrt 1.0)) (* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))
0.2b
(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0)))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
224×sqrt-prod
216×prod-diff
190×distribute-rgt-in distribute-lft-in
178×add-sqr-sqrt
173×*-un-lft-identity
165×add-cube-cbrt
20×add-cbrt-cube add-exp-log
19×times-frac
18×frac-times associate-*l*
13×associate-*r/
11×pow1
10×associate-*r*
8×flip3-- flip--
7×prod-exp cbrt-unprod
6×sub-neg flip3-+ associate-*l/ flip-+
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
3×cbrt-undiv associate-/r* div-exp associate-/l*
2×*-commutative div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
1×clear-num frac-2neg fma-udef
Counts
4 → 356
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
5.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
129.0ms
(* (+ (sqrt x) (sqrt 1.0)) (* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))
86.0ms
(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0)))

series829.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
83.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
491.0ms
(* (+ (sqrt x) (sqrt 1.0)) (* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))
204.0ms
(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0)))

simplify1.9s

Counts
368 → 368
Iterations
IterNodes
done5001
11977
0521

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.2s

Algorithm
intervals
Results
579.0ms8000×body80valid
419.0ms8127×body80nan