Details

Time bar (total: 4.0s)

sample27.0ms

Algorithm
intervals
Results
8.0ms260×body80nan
5.0ms275×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0134
1253
2443
3693
41023
51713
61923
72253
83163
93513
103513
done3513

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt x) y (- 1.0 x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (sqrt x) y (- 1.0 x))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (sqrt x) y (- 1.0 x))

simplify42.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
06471
116257
247655
3175554
4500154
done500154

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
11.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

series566.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
145.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
137.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
141.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify108.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0238888
1762823
23359765
35002747
done5002747

prune275.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
0.4b
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(* (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))) (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 79
Calls
4 calls:
5.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
1.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
1.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
17.0ms
(* (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))) (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))))

series569.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
146.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
143.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
147.0ms
(* (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))) (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))))

simplify122.0ms

Counts
91 → 91
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
03211301
19481154
238301048
350021036
done50021036

prune338.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(* (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))) (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
1.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
1.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
17.0ms
(* (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))) (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))))

series573.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
140.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
140.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
150.0ms
(* (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))) (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))))

simplify95.0ms

Counts
96 → 96
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
02591316
17471179
230211070
350011046
done50011046

prune383.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163
done63

end0.0ms

sample667.0ms

Algorithm
intervals
Results
174.0ms8533×body80valid
151.0ms8437×body80nan
0.0ms3×body1280valid