Details

Time bar (total: 23.3s)

sample150.0ms

Algorithm
intervals
Results
62.0ms762×body80nan
20.0ms256×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (97.0ms)

IterNodesCost
01011
12111
25211
312611
422310
529710
641410
750410
858710
959410
done59410

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log t) z)
0.0b
(- (fma x (log y) (- (log t) z)) y)
0.1b
(fma x (log y) (- (log t) z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
23×add-sqr-sqrt
21×prod-diff
19×add-cube-cbrt
pow1
fma-neg
add-log-exp
log-pow
associate--l+
add-exp-log expm1-log1p-u log-prod add-cbrt-cube log1p-expm1-u distribute-lft-out--
sub-neg flip3-- diff-log flip-- fma-udef difference-of-squares
Counts
3 → 75
Calls
3 calls:
10.0ms
(- (log t) z)
7.0ms
(- (fma x (log y) (- (log t) z)) y)
0.0ms
(fma x (log y) (- (log t) z))

series304.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(- (log t) z)
96.0ms
(- (fma x (log y) (- (log t) z)) y)
109.0ms
(fma x (log y) (- (log t) z))

simplify2.5s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01571257
13301037
2729872
33067756
done5000756

prune322.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma x (log y) (- (log t) z)))
0.5b
(cbrt (fma x (log y) (- (log t) z)))
0.5b
(cbrt (fma x (log y) (- (log t) z)))
0.5b
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
2.0ms
(cbrt (fma x (log y) (- (log t) z)))
2.0ms
(cbrt (fma x (log y) (- (log t) z)))
2.0ms
(cbrt (fma x (log y) (- (log t) z)))
34.0ms
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))

series2.7s

Counts
4 → 12
Calls
4 calls:
652.0ms
(cbrt (fma x (log y) (- (log t) z)))
694.0ms
(cbrt (fma x (log y) (- (log t) z)))
603.0ms
(cbrt (fma x (log y) (- (log t) z)))
748.0ms
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01812817
15132636
218822425
done50012163

prune640.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (fma x (log y) (- (log t) z))))
0.5b
(cbrt (cbrt (fma x (log y) (- (log t) z))))
0.5b
(cbrt (cbrt (fma x (log y) (- (log t) z))))
0.5b
(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
2.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
2.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
2.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
29.0ms
(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))

series2.3s

Counts
4 → 12
Calls
4 calls:
486.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
619.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
603.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
628.0ms
(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))

simplify1.0s

Counts
116 → 116
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02063675
15503479
219533284
done50012985

prune699.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (fma x (log y) (- (log t) z))))
0.5b
(cbrt (cbrt (fma x (log y) (- (log t) z))))
0.6b
(cbrt (pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) (* 2 3)))
1.2b
(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) (* 2 3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
49×cbrt-prod
18×unpow-prod-down
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
pow-pow sqr-pow
pow-to-exp pow-unpow pow-exp
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
1.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
6.0ms
(cbrt (pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) (* 2 3)))
6.0ms
(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) (* 2 3))

series2.5s

Counts
4 → 12
Calls
4 calls:
528.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
565.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
588.0ms
(cbrt (pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) (* 2 3)))
851.0ms
(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) (* 2 3))

simplify1.2s

Counts
91 → 91
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02562982
17382665
227112444
done50002379

prune549.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes347.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
done910

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.8s24438×body80nan
696.0ms8037×body80valid
1.0msbody320valid
1.0msbody640valid