Details

Time bar (total: 8.8s)

sample15.0ms

Algorithm
intervals
Results
6.0ms305×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
067
1107
2196
3306
4456
5616
6756
7966
81286
91616
102016
112276
122496
132696
142906
153296
164026
175156
186196
197406
208296
218396
228416
done8416

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (- z x) y x)

rewrite3.0ms

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:
2.0ms
(fma (- z x) y x)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(fma (- z x) y x)

simplify532.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
019116
132113
26995
322295
4106395
done500095

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- z x) y x)
0.0b
(sqrt (fma (- z x) y x))
0.0b
(sqrt (fma (- z x) y x))
0.2b
(* (sqrt (fma (- z x) y x)) (sqrt (fma (- z x) y x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (- z x) y x)
1.0ms
(sqrt (fma (- z x) y x))
1.0ms
(sqrt (fma (- z x) y x))
7.0ms
(* (sqrt (fma (- z x) y x)) (sqrt (fma (- z x) y x)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(fma (- z x) y x)
78.0ms
(sqrt (fma (- z x) y x))
80.0ms
(sqrt (fma (- z x) y x))
29.0ms
(* (sqrt (fma (- z x) y x)) (sqrt (fma (- z x) y x)))

simplify849.0ms

Counts
103 → 103
Iterations

Useful iterations: done (847.0ms)

IterNodesCost
0891524
11841041
2487931
31774890
done5000880

prune206.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (fma (- z x) y x)))
0.1b
(sqrt (sqrt (fma (- z x) y x)))
0.2b
(* (* (sqrt (sqrt (fma (- z x) y x))) (sqrt (sqrt (fma (- z x) y x)))) (sqrt (fma (- z x) y x)))
0.3b
(* (sqrt (sqrt (fma (- z x) y x))) (sqrt (sqrt (fma (- z x) y x))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
97×sqrt-pow1
91×sqrt-prod
75×pow1
60×add-sqr-sqrt
53×pow1/2
43×pow-prod-up
22×add-cube-cbrt *-un-lft-identity
17×swap-sqr
15×associate-*r*
13×pow-sqr
12×pow-prod-down
11×add-exp-log add-cbrt-cube unswap-sqr
10×associate-*l*
7×pow-plus
4×expm1-log1p-u rem-sqrt-square prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 rem-square-sqrt
Counts
4 → 173
Calls
4 calls:
1.0ms
(sqrt (sqrt (fma (- z x) y x)))
4.0ms
(sqrt (sqrt (fma (- z x) y x)))
33.0ms
(* (* (sqrt (sqrt (fma (- z x) y x))) (sqrt (sqrt (fma (- z x) y x)))) (sqrt (fma (- z x) y x)))
12.0ms
(* (sqrt (sqrt (fma (- z x) y x))) (sqrt (sqrt (fma (- z x) y x))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(sqrt (sqrt (fma (- z x) y x)))
167.0ms
(sqrt (sqrt (fma (- z x) y x)))
32.0ms
(* (* (sqrt (sqrt (fma (- z x) y x))) (sqrt (sqrt (fma (- z x) y x)))) (sqrt (fma (- z x) y x)))
75.0ms
(* (sqrt (sqrt (fma (- z x) y x))) (sqrt (sqrt (fma (- z x) y x))))

simplify1.6s

Counts
185 → 185
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01743516
14171789
210271671
333541578
done50011575

prune272.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (fma (- z x) y x)))
0.2b
(* (sqrt (sqrt (sqrt (fma (- z x) y x)))) (pow (sqrt (sqrt (sqrt (fma (- z x) y x)))) 3))
0.2b
(* (* (sqrt (sqrt (sqrt (fma (- z x) y x)))) (pow (sqrt (sqrt (sqrt (fma (- z x) y x)))) 3)) (sqrt (fma (- z x) y x)))
0.3b
(pow (sqrt (sqrt (sqrt (fma (- z x) y x)))) 3)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
211×sqrt-prod
108×add-sqr-sqrt
40×unpow-prod-down cube-prod unswap-sqr
36×associate-*r*
30×add-cube-cbrt *-un-lft-identity
20×add-exp-log
13×pow1 sqrt-pow1 associate-*l*
12×add-cbrt-cube
10×prod-exp
7×pow-pow
6×sqr-pow
5×pow1/2
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow pow-exp
2×cube-mult rem-sqrt-square unpow3 *-commutative
1×pow-prod-down pow-prod-up sqrt-pow2 rem-cube-cbrt
Counts
4 → 192
Calls
4 calls:
2.0ms
(sqrt (sqrt (fma (- z x) y x)))
30.0ms
(* (sqrt (sqrt (sqrt (fma (- z x) y x)))) (pow (sqrt (sqrt (sqrt (fma (- z x) y x)))) 3))
38.0ms
(* (* (sqrt (sqrt (sqrt (fma (- z x) y x)))) (pow (sqrt (sqrt (sqrt (fma (- z x) y x)))) 3)) (sqrt (fma (- z x) y x)))
5.0ms
(pow (sqrt (sqrt (sqrt (fma (- z x) y x)))) 3)

series543.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(sqrt (sqrt (fma (- z x) y x)))
80.0ms
(* (sqrt (sqrt (sqrt (fma (- z x) y x)))) (pow (sqrt (sqrt (sqrt (fma (- z x) y x)))) 3))
30.0ms
(* (* (sqrt (sqrt (sqrt (fma (- z x) y x)))) (pow (sqrt (sqrt (sqrt (fma (- z x) y x)))) 3)) (sqrt (fma (- z x) y x)))
265.0ms
(pow (sqrt (sqrt (sqrt (fma (- z x) y x)))) 3)

simplify785.0ms

Counts
204 → 204
Iterations

Useful iterations: done (779.0ms)

IterNodesCost
02225411
15904752
219172885
done50012882

prune352.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
done78

end0.0ms

sample383.0ms

Algorithm
intervals
Results
192.0ms10100×body80valid