Details

Time bar (total: 48.9s)

sample87.0ms

Algorithm
intervals
Results
34.0ms256×body80valid
26.0ms272×body80nan

simplify441.0ms

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

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)))

rewrite138.0ms

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:
3.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
51.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
62.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series313.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
126.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
115.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify4.2s

Counts
165 → 165
Iterations
IterNodes
done5001
22081
1629
0254

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize114.0ms

Local error

Found 3 expressions with local error:

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

rewrite172.0ms

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-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative fma-udef flip--
Counts
3 → 93
Calls
3 calls:
3.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
109.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
47.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series295.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
129.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
122.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify8.5s

Counts
102 → 102
Iterations
IterNodes
done5000
34714
21162
1372
0147

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize155.0ms

Local error

Found 4 expressions with local error:

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

rewrite608.0ms

Algorithm
rewrite-expression-head
Rules
749×times-frac
605×add-sqr-sqrt
595×*-un-lft-identity
579×add-cube-cbrt
507×prod-diff
171×distribute-rgt-in distribute-lft-in
85×div-inv
13×fma-neg
12×associate-*r*
10×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
6×pow1 associate-/r* associate-/l* add-log-exp
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u
3×sub-neg associate-*l*
2×cbrt-undiv clear-num frac-2neg flip3-- distribute-rgt-out-- div-exp frac-sub flip-- sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 644
Calls
4 calls:
92.0ms
(- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
287.0ms
(* 6.0 (- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))))
19.0ms
(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))
24.0ms
(/ x (fma (sqrt x) 4.0 (+ x 1.0)))

series698.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
232.0ms
(* 6.0 (- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))))
97.0ms
(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))
136.0ms
(/ x (fma (sqrt x) 4.0 (+ x 1.0)))

simplify8.6s

Counts
656 → 656
Iterations
IterNodes
done5017
23620
11418
0785

prune9.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize197.0ms

Local error

Found 4 expressions with local error:

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

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
157×cbrt-prod
141×add-sqr-sqrt
135×*-un-lft-identity
123×times-frac
75×add-cube-cbrt
28×swap-sqr
27×distribute-lft-out--
22×associate-*r* associate-*l*
21×difference-of-squares
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 198
Calls
4 calls:
157.0ms
(* (cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) (cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
23.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
23.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
22.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
418.0ms
(* (cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) (cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
341.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
294.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
370.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

simplify6.8s

Counts
210 → 210
Iterations
IterNodes
done5001
33332
21182
1481
0227

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample1.9s

Algorithm
intervals
Results
815.0ms8000×body80valid
674.0ms8083×body80nan