Details

Time bar (total: 13.1s)

sample62.0ms

Algorithm
intervals
Results
23.0ms705×body80nan
10.0ms256×body80valid

simplify922.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (33.0ms)

IterNodesCost
01011
12111
25211
312411
423510
533310
644910
762710
880810
984710
done84710

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×add-sqr-sqrt prod-diff
10×add-cube-cbrt
7×add-log-exp
4×distribute-lft-out
3×fma-neg
2×pow1 add-exp-log expm1-log1p-u diff-log add-cbrt-cube fma-udef log1p-expm1-u distribute-lft-out--
1×sub-neg flip3-- associate--l+ sum-log flip-- associate--r+ difference-of-squares
Counts
2 → 45
Calls
2 calls:
10.0ms
(- (fma (log y) x (log t)) (+ y z))
0.0ms
(fma (log y) x (log t))

series141.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (fma (log y) x (log t)) (+ y z))
86.0ms
(fma (log y) x (log t))

simplify2.3s

Counts
51 → 51
Iterations

Useful iterations: 3 (372.0ms)

IterNodesCost
0100978
1227802
2736670
33999601
done5000601

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (fma (log y) x (log t)))
0.4b
(cbrt (fma (log y) x (log t)))
0.4b
(cbrt (fma (log y) x (log t)))
0.5b
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))

rewrite9.0ms

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:
0.0ms
(cbrt (fma (log y) x (log t)))
0.0ms
(cbrt (fma (log y) x (log t)))
1.0ms
(cbrt (fma (log y) x (log t)))
6.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))

series738.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (fma (log y) x (log t)))
146.0ms
(cbrt (fma (log y) x (log t)))
150.0ms
(cbrt (fma (log y) x (log t)))
293.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: 2 (304.0ms)

IterNodesCost
02443085
17832914
241012712
done50002712

prune405.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (fma (log y) x (log t)))
0.4b
(cbrt (pow (cbrt (fma (log y) x (log t))) 3))
0.5b
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
0.7b
(pow (cbrt (fma (log y) x (log t))) 3)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
49×cbrt-prod
31×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
12×pow1 unpow-prod-down cube-prod
9×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×pow-unpow
2×cube-mult pow-pow unpow3 pow-prod-down pow-sqr pow-prod-up sqr-pow
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 116
Calls
4 calls:
0.0ms
(cbrt (fma (log y) x (log t)))
2.0ms
(cbrt (pow (cbrt (fma (log y) x (log t))) 3))
5.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
2.0ms
(pow (cbrt (fma (log y) x (log t))) 3)

series703.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (fma (log y) x (log t)))
150.0ms
(cbrt (pow (cbrt (fma (log y) x (log t))) 3))
290.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
111.0ms
(pow (cbrt (fma (log y) x (log t))) 3)

simplify1.8s

Counts
128 → 128
Iterations

Useful iterations: 2 (420.0ms)

IterNodesCost
02933508
18972949
247972643
done50002643

prune458.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
38×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×pow1
14×pow1/3
12×swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
4×expm1-log1p-u pow-prod-down pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
5.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
6.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
1.0ms
(cbrt (cbrt (fma (log y) x (log t))))
3.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
304.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
313.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
154.0ms
(cbrt (cbrt (fma (log y) x (log t))))
304.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))

simplify353.0ms

Counts
123 → 123
Iterations

Useful iterations: done (348.0ms)

IterNodesCost
03645035
112084757
done50014748

prune575.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes185.0ms

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
0910
11010
done1010

end0.0ms

sample1.9s

Algorithm
intervals
Results
801.0ms24033×body80nan
327.0ms8032×body80valid
0.0ms1×body640valid
0.0ms1×body320valid