Details

Time bar (total: 18.2s)

sample63.0ms

Algorithm
intervals
Results
23.0ms452×body80valid

simplify150.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
01515
12714
26212
311912
415612
515812
done15812

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma c i (fma a b (fma x y (* z t))))
0.0b
(fma x y (* z t))
0.0b
(fma a b (fma x y (* z t)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×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
3 → 30
Calls
3 calls:
0.0ms
(fma c i (fma a b (fma x y (* z t))))
0.0ms
(fma x y (* z t))
0.0ms
(fma a b (fma x y (* z t)))

series550.0ms

Counts
3 → 9
Calls
3 calls:
393.0ms
(fma c i (fma a b (fma x y (* z t))))
47.0ms
(fma x y (* z t))
110.0ms
(fma a b (fma x y (* z t)))

simplify2.5s

Counts
39 → 39
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
047430
164420
2154366
3608366
44018366
done5000366

prune219.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma c i (fma t z (fma a b (* x y))))
0.0b
(fma a b (* x y))
0.0b
(fma t z (fma a b (* x y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×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
3 → 30
Calls
3 calls:
1.0ms
(fma c i (fma t z (fma a b (* x y))))
1.0ms
(fma a b (* x y))
2.0ms
(fma t z (fma a b (* x y)))

series507.0ms

Counts
3 → 9
Calls
3 calls:
359.0ms
(fma c i (fma t z (fma a b (* x y))))
58.0ms
(fma a b (* x y))
90.0ms
(fma t z (fma a b (* x y)))

simplify1.2s

Counts
39 → 39
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
045430
165420
2200366
31154366
done5000366

prune285.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma c i (fma a b (fma x y (* z t))))) (cbrt (fma c i (fma a b (fma x y (* z t))))))
0.6b
(cbrt (fma c i (fma a b (fma x y (* z t)))))
0.6b
(cbrt (fma c i (fma a b (fma x y (* z t)))))
0.6b
(cbrt (fma c i (fma a b (fma x y (* z t)))))

rewrite22.0ms

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:
15.0ms
(* (cbrt (fma c i (fma a b (fma x y (* z t))))) (cbrt (fma c i (fma a b (fma x y (* z t))))))
1.0ms
(cbrt (fma c i (fma a b (fma x y (* z t)))))
1.0ms
(cbrt (fma c i (fma a b (fma x y (* z t)))))
1.0ms
(cbrt (fma c i (fma a b (fma x y (* z t)))))

series912.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(* (cbrt (fma c i (fma a b (fma x y (* z t))))) (cbrt (fma c i (fma a b (fma x y (* z t))))))
212.0ms
(cbrt (fma c i (fma a b (fma x y (* z t)))))
196.0ms
(cbrt (fma c i (fma a b (fma x y (* z t)))))
237.0ms
(cbrt (fma c i (fma a b (fma x y (* z t)))))

simplify5.1s

Counts
93 → 93
Iterations

Useful iterations: done (5.1s)

IterNodesCost
0952278
12232123
27221929
339901640
done50001615

prune565.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (* z t))
0.2b
(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.2b
(sqrt (fma x y (* z t)))
1.2b
(sqrt (fma x y (* z t)))

rewrite37.0ms

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:
1.0ms
(fma x y (* z t))
27.0ms
(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
2.0ms
(sqrt (fma x y (* z t)))
2.0ms
(sqrt (fma x y (* z t)))

series345.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(fma x y (* z t))
62.0ms
(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
130.0ms
(sqrt (fma x y (* z t)))
104.0ms
(sqrt (fma x y (* z t)))

simplify2.1s

Counts
103 → 103
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0821472
1164995
2555901
33444860
done5001838

prune540.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes390.0ms

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
01212
11312
done1312

end0.0ms

sample2.5s

Algorithm
intervals
Results
907.0ms13613×body80valid