Details

sample230.0ms

Algorithm

intervals

Results

120.0ms	901×	body	80	nan
28.0ms	294×	body	80	valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3696
4	1232
3	330
2	97
1	38
0	20

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

26×	`add-log-exp`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`sum-log` `*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
7×	`associate-+l+`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 87

Calls

4 calls:

12.0ms	(+ (* x (log y)) z)
2.5s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
18.0ms	(* (- b 0.5) (log c))
19.0ms	(* x (log y))

series1.0s

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (* x (log y)) z)
782.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
74.0ms	(* (- b 0.5) (log c))
65.0ms	(* x (log y))

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1536
1	502
0	217

prune882.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize120.0ms

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)

rewrite25.0ms

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:

17.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (cbrt y) (cbrt y))
249.0ms	(cbrt y)
287.0ms	(cbrt y)
229.0ms	(cbrt y)

simplify3.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5028
4	3114
3	971
2	377
1	136
0	61

prune974.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize140.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.9b	(pow y 1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

18.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

293.0ms	(* (cbrt y) (cbrt y))
274.0ms	(cbrt y)
295.0ms	(cbrt y)
304.0ms	(pow y 1/3)

simplify2.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5022
4	3817
3	1239
2	514
1	242
0	89

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.1b	(exp (* (log y) 1/3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
5×	`add-log-exp`
4×	`add-cbrt-cube` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `exp-prod` `pow-plus` `exp-to-pow` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 72

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(exp (* (log y) 1/3))

series1.0s

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt y) (cbrt y))
275.0ms	(cbrt y)
280.0ms	(cbrt y)
232.0ms	(exp (* (log y) 1/3))

simplify2.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
4	2016
3	809
2	403
1	178
0	78

prune758.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample8.6s

Algorithm

intervals

Results

4.8s	27875×	body	80	nan
1.4s	9276×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid