Details

sample137.0ms

Algorithm

intervals

Results

63.0ms	808×	body	80	nan
14.0ms	257×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2128
4	480
3	114
2	48
1	20
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x (log y)) y) z)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.2b	(* x (log y))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-cbrt-cube` `add-exp-log`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `sum-log` `associate-l` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`associate--l-` `+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

70.0ms	(- (- (* x (log y)) y) z)
152.0ms	(+ (- (- (* x (log y)) y) z) (log t))
7.0ms	(- (* x (log y)) y)
7.0ms	(* x (log y))

series264.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (- (* x (log y)) y) z)
63.0ms	(+ (- (- (* x (log y)) y) z) (log t))
82.0ms	(- (* x (log y)) y)
57.0ms	(* x (log y))

simplify1.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1466
1	391
0	167

prune699.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(+ (* x (log (sqrt y))) (+ (- (- (* x (log (sqrt y))) y) z) (log t)))
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))

rewrite494.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
26×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`sqrt-prod`
18×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-log-exp`
14×	`pow1`
12×	`associate-+l+` `associate-r`
9×	`add-exp-log` `log-pow`
8×	`add-cbrt-cube`
7×	`sum-log`
6×	`associate-l`
3×	`sqrt-pow1` `pow1/2` `diff-log`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `associate-+r-` `flip3-+` `rem-log-exp` `associate-+l-` `flip-+`

Counts

4 → 111

Calls

4 calls:

3.0ms	(log (sqrt y))
466.0ms	(+ (* x (log (sqrt y))) (+ (- (- (* x (log (sqrt y))) y) z) (log t)))
9.0ms	(* x (log (sqrt y)))
9.0ms	(* x (log (sqrt y)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(log (sqrt y))
106.0ms	(+ (* x (log (sqrt y))) (+ (- (- (* x (log (sqrt y))) y) z) (log t)))
104.0ms	(* x (log (sqrt y)))
130.0ms	(* x (log (sqrt y)))

simplify1.5s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1497
1	404
0	157

prune858.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite21.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

15.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt y) (cbrt y))
241.0ms	(cbrt y)
335.0ms	(cbrt y)
296.0ms	(cbrt y)

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune710.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log (sqrt y)))
0.5b	(cbrt (log (sqrt y)))
0.5b	(cbrt (log (sqrt y)))
0.5b	(* (cbrt (log (sqrt y))) (cbrt (log (sqrt y))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
27×	`pow1`
23×	`add-sqr-sqrt` `log-pow`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`pow1/3` `associate-r` `associate-l`
7×	`sqrt-pow1` `pow1/2`
6×	`add-exp-log`
4×	`add-cbrt-cube` `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 (sqrt y)))
1.0ms	(cbrt (log (sqrt y)))
1.0ms	(cbrt (log (sqrt y)))
33.0ms	(* (cbrt (log (sqrt y))) (cbrt (log (sqrt y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt (log (sqrt y)))
306.0ms	(cbrt (log (sqrt y)))
356.0ms	(cbrt (log (sqrt y)))
419.0ms	(* (cbrt (log (sqrt y))) (cbrt (log (sqrt y))))

simplify2.0s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	2029
1	460
0	166

prune828.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes611.0ms

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	15
1	15
0	12

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.1s	24128×	body	80	nan
725.0ms	8013×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid