Details

sample76.0ms

Algorithm

intervals

Results

27.0ms	258×	body	80	valid
13.0ms	258×	body	80	nan

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1296
6	469
5	213
4	96
3	51
2	29
1	15
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log y)) z)
0.0b	(- (- (* x (log y)) z) y)
0.3b	(* x (log y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
15×	`prod-diff`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`fma-neg` `diff-log` `associate-r`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

10.0ms	(- (* x (log y)) z)
49.0ms	(- (- (* x (log y)) z) y)
7.0ms	(* x (log y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (* x (log y)) z)
35.0ms	(- (- (* x (log y)) z) y)
41.0ms	(* x (log y))

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	1472
1	427
0	171

prune498.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(+ (* x (log (sqrt y))) (- (- (* x (log (sqrt y))) z) y))
0.3b	(* x (log (sqrt y)))
0.3b	(* x (log (sqrt y)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
37×	`add-sqr-sqrt`
33×	`*-un-lft-identity` `add-cube-cbrt`
29×	`associate--l+`
28×	`associate-+r+`
27×	`sqrt-prod`
24×	`distribute-rgt-in` `distribute-lft-in`
14×	`pow1`
13×	`add-log-exp`
12×	`associate-+l+` `associate-r` `prod-diff`
9×	`add-exp-log` `log-pow`
8×	`add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sum-log` `sqrt-pow1` `pow1/2` `diff-log`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `fma-def` `flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 146

Calls

4 calls:

2.0ms	(log (sqrt y))
73.0ms	(+ (* x (log (sqrt y))) (- (- (* x (log (sqrt y))) z) y))
9.0ms	(* x (log (sqrt y)))
9.0ms	(* x (log (sqrt y)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(log (sqrt y))
68.0ms	(+ (* x (log (sqrt y))) (- (- (* x (log (sqrt y))) z) y))
85.0ms	(* x (log (sqrt y)))
88.0ms	(* x (log (sqrt y)))

simplify1.2s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	1997
1	562
0	207

prune664.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite12.0ms

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:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series990.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(* (cbrt y) (cbrt y))
243.0ms	(cbrt y)
236.0ms	(cbrt y)
271.0ms	(cbrt y)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune547.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt (sqrt y))) x)
0.3b	(* x (fma 2 (log (cbrt (sqrt y))) (log (sqrt y))))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1`
8×	`add-cbrt-cube` `associate-l` `add-exp-log`
6×	`associate-r` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 76

Calls

4 calls:

10.0ms	(* (log (cbrt (sqrt y))) x)
8.0ms	(* x (fma 2 (log (cbrt (sqrt y))) (log (sqrt y))))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series882.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (log (cbrt (sqrt y))) x)
301.0ms	(* x (fma 2 (log (cbrt (sqrt y))) (log (sqrt y))))
203.0ms	(cbrt (sqrt y))
202.0ms	(cbrt (sqrt y))

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1226
1	328
0	137

prune586.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

396.0ms	8021×	body	80	valid
307.0ms	7787×	body	80	nan
1.0ms	2×	body	1280	valid
1.0ms	1×	body	2560	valid