Details

sample317.0ms

Algorithm

intervals

Results

163.0ms	870×	body	80	nan
75.0ms	294×	body	80	valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4349
4	1592
3	424
2	109
1	39
0	20

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 41

Calls

3 calls:

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

series838.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(+ (fma (log y) x (+ a t)) z)
585.0ms	(fma (log c) (- b 0.5) (+ (fma (log y) x (+ a t)) z))
90.0ms	(fma (log y) x (+ a t))

simplify1.8s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	1289
2	385
1	168
0	82

prune617.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`add-cube-cbrt`
23×	`associate-+l+`
22×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-log-exp`
7×	`pow1`
6×	`add-cbrt-cube` `associate-*r/` `add-exp-log`
5×	`associate-r`
4×	`expm1-log1p-u` `sum-log` `sub-neg` `fma-def` `flip3-+` `associate-l` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`+-commutative` `fma-udef`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

9.0ms	(+ (fma (log y) x (+ a t)) z)
48.0ms	(+ (* (log c) (- b 0.5)) (+ (fma (log y) x (+ a t)) z))
0.0ms	(fma (log y) x (+ a t))
32.0ms	(* (log c) (- b 0.5))

series1.0s

Counts

4 → 12

Calls

4 calls:

180.0ms	(+ (fma (log y) x (+ a t)) z)
650.0ms	(+ (* (log c) (- b 0.5)) (+ (fma (log y) x (+ a t)) z))
73.0ms	(fma (log y) x (+ a t))
142.0ms	(* (log c) (- b 0.5))

simplify1.8s

Counts

133 → 133

Iterations

Iter	Nodes
done	5004
2	2133
1	617
0	229

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.5b	(* (cbrt (log c)) (cbrt (log c)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 93

Calls

4 calls:

1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
10.0ms	(* (cbrt (log c)) (cbrt (log c)))

series1.8s

Counts

4 → 12

Calls

4 calls:

346.0ms	(cbrt (log c))
329.0ms	(cbrt (log c))
382.0ms	(cbrt (log c))
716.0ms	(* (cbrt (log c)) (cbrt (log c)))

simplify3.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	5010
4	4600
3	1273
2	401
1	152
0	68

prune873.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log c)) (cbrt (log c)))
0.5b	(cbrt (cbrt (log c)))
0.5b	(cbrt (cbrt (log c)))
0.5b	(cbrt (cbrt (log c)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
26×	`add-sqr-sqrt`
20×	`pow1` `*-un-lft-identity`
18×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 102

Calls

4 calls:

11.0ms	(* (cbrt (log c)) (cbrt (log c)))
1.0ms	(cbrt (cbrt (log c)))
1.0ms	(cbrt (cbrt (log c)))
1.0ms	(cbrt (cbrt (log c)))

series1.6s

Counts

4 → 12

Calls

4 calls:

440.0ms	(* (cbrt (log c)) (cbrt (log c)))
418.0ms	(cbrt (cbrt (log c)))
390.0ms	(cbrt (cbrt (log c)))
382.0ms	(cbrt (cbrt (log c)))

simplify1.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
4	1814
3	841
2	365
1	158
0	78

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample10.5s

Algorithm

intervals

Results

5.6s	27911×	body	80	nan
2.2s	9189×	body	80	valid
4.0ms	3×	body	1280	valid
3.0ms	4×	body	320	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid