Details

Time bar (total: 16.0s)

sample16.0ms

Algorithm
intervals
Results
6.0ms305×body80valid

simplify8.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
067
1107
2196
3316
4466
5626
6766
7976
81686
93036
105586
119106
1213526
1320346
done50006

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)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma (- z x) y x)

simplify522.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
019116
132113
26995
325095
4110495
done500195

prune26.0ms

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)))

rewrite11.0ms

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)))

series206.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(fma (- z x) y x)
73.0ms
(sqrt (fma (- z x) y x))
72.0ms
(sqrt (fma (- z x) y x))
31.0ms
(* (sqrt (fma (- z x) y x)) (sqrt (fma (- z x) y x)))

simplify2.2s

Counts
103 → 103
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0891524
11871043
2617931
33038878
done5000872

prune204.0ms

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))))

rewrite60.0ms

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)))
1.0ms
(sqrt (sqrt (fma (- z x) y x)))
37.0ms
(* (* (sqrt (sqrt (fma (- z x) y x))) (sqrt (sqrt (fma (- z x) y x)))) (sqrt (fma (- z x) y x)))
13.0ms
(* (sqrt (sqrt (fma (- z x) y x))) (sqrt (sqrt (fma (- z x) y x))))

series568.0ms

Counts
4 → 12
Calls
4 calls:
296.0ms
(sqrt (sqrt (fma (- z x) y x)))
165.0ms
(sqrt (sqrt (fma (- z x) y x)))
29.0ms
(* (* (sqrt (sqrt (fma (- z x) y x))) (sqrt (sqrt (fma (- z x) y x)))) (sqrt (fma (- z x) y x)))
78.0ms
(* (sqrt (sqrt (fma (- z x) y x))) (sqrt (sqrt (fma (- z x) y x))))

simplify2.1s

Counts
185 → 185
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01743516
14251874
215691641
done50001638

prune271.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log associate--l+ add-cbrt-cube flip-- fma-udef log1p-expm1-u
Counts
1 → 21
Calls
1 calls:
3.0ms
(- (fma z y x) (* x y))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(- (fma z y x) (* x y))

simplify765.0ms

Counts
24 → 24
Iterations

Useful iterations: done (764.0ms)

IterNodesCost
045300
1106291
2363260
31622232
done5000229

prune51.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

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
056
done56

end0.0ms

sample411.0ms

Algorithm
intervals
Results
201.0ms10100×body80valid