Details

Time bar (total: 13.2s)

sample40.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
11.0ms211×body80nan

simplify132.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite49.0ms

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))
15.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
26.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
99.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
107.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.6s

Counts
165 → 165
Iterations
IterNodes
done5000
22097
1631
0254

prune671.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

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)))

rewrite46.0ms

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:
0.0ms
(fma 4.0 (sqrt x) (+ x 1.0))
28.0ms
(* 6.0 (/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0))))
16.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma 4.0 (sqrt x) (+ x 1.0))
90.0ms
(* 6.0 (/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0))))
79.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0)))

simplify2.6s

Counts
102 → 102
Iterations
IterNodes
done5000
34816
21164
1371
0147

prune408.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
116×add-sqr-sqrt
106×times-frac
64×add-cube-cbrt
26×distribute-lft-out--
25×swap-sqr
20×add-cbrt-cube add-exp-log difference-of-squares
19×associate-*r* associate-*l*
11×pow1
10×associate-/l*
7×cbrt-div
6×frac-times cbrt-undiv associate-/r* div-exp associate-*l/ div-inv
4×expm1-log1p-u prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr associate-/l/
2×clear-num frac-2neg flip3-- div-sub flip--
1×cbrt-prod pow2 pow-plus pow1/3 pow3 pow-prod-down pow-sqr *-commutative pow-prod-up rem-cbrt-cube
Counts
4 → 196
Calls
4 calls:
23.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
16.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
70.0ms
(* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))))
92.0ms
(cbrt (* (* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))))

series428.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
106.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
126.0ms
(* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))))
91.0ms
(cbrt (* (* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))))

simplify1.7s

Counts
208 → 208
Iterations
IterNodes
done5000
22141
1671
0211

prune804.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt *-un-lft-identity
33×times-frac
26×add-cube-cbrt
17×add-cbrt-cube add-exp-log
11×associate-/l*
9×associate-/r* associate-/l/
8×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp
3×frac-times cbrt-div clear-num frac-2neg associate-*r/ div-inv
2×div-sub associate-*l/ prod-exp cbrt-unprod
1×cbrt-prod pow1/3
Counts
4 → 128
Calls
4 calls:
18.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
25.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
31.0ms
(/ (* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (- x 1.0)) (fma 4.0 (sqrt x) (+ 1.0 x)))
54.0ms
(cbrt (* (/ (* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (- x 1.0)) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
76.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))
105.0ms
(/ (* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (- x 1.0)) (fma 4.0 (sqrt x) (+ 1.0 x)))
112.0ms
(cbrt (* (/ (* (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x))) (- x 1.0)) (fma 4.0 (sqrt x) (+ 1.0 x))) (/ (- x 1.0) (fma 4.0 (sqrt x) (+ 1.0 x)))))

simplify1.4s

Counts
140 → 140
Iterations
IterNodes
done5000
21450
1410
0160

prune797.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.3s

Algorithm
intervals
Results
564.0ms7974×body80nan
521.0ms8000×body80valid