Details

sample76.0ms

Algorithm

intervals

Results

18.0ms	257×	body	80	valid
17.0ms	301×	body	80	nan

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4166
5	2057
4	627
3	203
2	63
1	21
0	10

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

10.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(fma (log y) (+ 0.5 y) (- z y))

series156.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
60.0ms	(fma (log y) (+ 0.5 y) (- z y))

simplify3.3s

Counts

45 → 45

Iterations

Iter	Nodes
done	5020
3	2258
2	634
1	237
0	101

prune320.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
33×	`prod-diff`
25×	`add-cube-cbrt`
12×	`associate--r+`
10×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log`
3×	`expm1-log1p-u` `pow1` `sub-neg` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--r-`

Counts

3 → 88

Calls

3 calls:

20.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
0.0ms	(fma (log y) (+ y 0.5) z)
5.0ms	(- (fma (log y) (+ y 0.5) z) y)

series209.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
54.0ms	(fma (log y) (+ y 0.5) z)
73.0ms	(- (fma (log y) (+ y 0.5) z) y)

simplify2.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	4045
2	1128
1	429
0	169

prune598.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log y) (+ 0.5 y) (- z y))) (cbrt (fma (log y) (+ 0.5 y) (- z y))))
0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

23.0ms	(* (cbrt (fma (log y) (+ 0.5 y) (- z y))) (cbrt (fma (log y) (+ 0.5 y) (- z y))))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))

series4.8s

Counts

4 → 12

Calls

4 calls:

3.6s	(* (cbrt (fma (log y) (+ 0.5 y) (- z y))) (cbrt (fma (log y) (+ 0.5 y) (- z y))))
345.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
420.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
424.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))

simplify6.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	4067
1	927
0	270

prune785.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
0.6b	(cbrt (cbrt (fma (log y) (+ 0.5 y) (- z y))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(cbrt (cbrt (fma (log y) (+ 0.5 y) (- z y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

405.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
439.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
322.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
348.0ms	(cbrt (cbrt (fma (log y) (+ 0.5 y) (- z y))))

simplify2.3s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1892
1	475
0	164

prune539.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes294.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

980.0ms	8044×	body	80	valid
539.0ms	8160×	body	80	nan
0.0ms	1×	body	320	valid