Details

sample227.0ms

Algorithm

intervals

Results

103.0ms	885×	body	80	nan
31.0ms	298×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1866
3	453
2	109
1	39
0	20

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
0.1b	(fma (- b 0.5) (log c) (fma (log y) x a))
0.1b	(fma (log y) x a)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `fma-udef`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `associate-+r+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 39

Calls

3 calls:

5.0ms	(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
0.0ms	(fma (- b 0.5) (log c) (fma (log y) x a))
0.0ms	(fma (log y) x a)

series993.0ms

Counts

3 → 9

Calls

3 calls:

716.0ms	(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
152.0ms	(fma (- b 0.5) (log c) (fma (log y) x a))
125.0ms	(fma (log y) x a)

simplify1.7s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
3	3885
2	624
1	218
0	98

prune498.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma (- b 0.5) (log c) (fma i y (+ z t))) (fma (log y) x a))
0.1b	(fma (- b 0.5) (log c) (fma i y (+ z t)))
0.1b	(fma (log y) x a)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `fma-udef`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `associate-+r+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 39

Calls

3 calls:

9.0ms	(+ (fma (- b 0.5) (log c) (fma i y (+ z t))) (fma (log y) x a))
0.0ms	(fma (- b 0.5) (log c) (fma i y (+ z t)))
1.0ms	(fma (log y) x a)

series1.4s

Counts

3 → 9

Calls

3 calls:

998.0ms	(+ (fma (- b 0.5) (log c) (fma i y (+ z t))) (fma (log y) x a))
325.0ms	(fma (- b 0.5) (log c) (fma i y (+ z t)))
125.0ms	(fma (log y) x a)

simplify1.9s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
3	3494
2	505
1	173
0	84

prune573.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (log c) (- b 0.5) z) (fma i y t))
0.0b	(+ (fma x (log y) (+ (fma (log c) (- b 0.5) z) (fma i y t))) a)
0.1b	(fma x (log y) (+ (fma (log c) (- b 0.5) z) (fma i y t)))
0.1b	(fma (log c) (- b 0.5) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-log-exp`
6×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
5×	`fma-udef`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+r+`

Counts

4 → 57

Calls

4 calls:

5.0ms	(+ (fma (log c) (- b 0.5) z) (fma i y t))
5.0ms	(+ (fma x (log y) (+ (fma (log c) (- b 0.5) z) (fma i y t))) a)
0.0ms	(fma x (log y) (+ (fma (log c) (- b 0.5) z) (fma i y t)))
0.0ms	(fma (log c) (- b 0.5) z)

series2.2s

Counts

4 → 12

Calls

4 calls:

363.0ms	(+ (fma (log c) (- b 0.5) z) (fma i y t))
1.1s	(+ (fma x (log y) (+ (fma (log c) (- b 0.5) z) (fma i y t))) a)
655.0ms	(fma x (log y) (+ (fma (log c) (- b 0.5) z) (fma i y t)))
101.0ms	(fma (log c) (- b 0.5) z)

simplify2.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	4992
2	715
1	255
0	111

prune804.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ t (+ z (fma (log y) x a)))
0.0b	(fma (log c) (- b 0.5) (fma i y (+ t (+ z (fma (log y) x a)))))
0.1b	(fma (log y) x a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `sum-log` `fma-def` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out`
2×	`fma-udef`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`

Counts

3 → 40

Calls

3 calls:

21.0ms	(+ t (+ z (fma (log y) x a)))
0.0ms	(fma (log c) (- b 0.5) (fma i y (+ t (+ z (fma (log y) x a)))))
0.0ms	(fma (log y) x a)

series1.5s

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ t (+ z (fma (log y) x a)))
1.3s	(fma (log c) (- b 0.5) (fma i y (+ t (+ z (fma (log y) x a)))))
126.0ms	(fma (log y) x a)

simplify444.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
2	736
1	218
0	95

prune498.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes1.4s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	17

end0.0ms

sample7.5s

Algorithm

intervals

Results

3.9s	27695×	body	80	nan
1.5s	9186×	body	80	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid