Details

sample327.0ms

Algorithm

intervals

Results

102.0ms	819×	body	80	nan
74.0ms	282×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	99	21
3	399	21
4	1689	21
done	5000	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (+ (* x (log y)) z) t) a)
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite975.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

758.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
179.0ms	(+ (+ (+ (* x (log y)) z) t) a)
26.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series569.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
120.0ms	(+ (+ (+ (* x (log y)) z) t) a)
79.0ms	(* (- b 0.5) (log c))
50.0ms	(* x (log y))

simplify1.7s

Counts

107 → 107

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	225	1697
1	590	1603
2	2726	1499
done	5001	1479

prune623.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

18.0ms	(* x (log (cbrt y)))
42.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series983.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* x (log (cbrt y)))
241.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
314.0ms	(cbrt y)
288.0ms	(cbrt y)

simplify930.0ms

Counts

89 → 89

Iterations

Useful iterations: done (925.0ms)

Iter	Nodes	Cost
0	119	909
1	305	849
2	1321	721
done	5000	711

prune665.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
5.9b	(pow y 2/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt (cbrt y))
242.0ms	(cbrt y)
250.0ms	(cbrt y)
287.0ms	(pow y 2/3)

simplify3.1s

Counts

65 → 65

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	75	356
1	171	315
2	594	288
3	2997	274
done	5000	270

prune589.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite30.0ms

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×	`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 → 81

Calls

4 calls:

2.0ms	(cbrt (log c))
2.0ms	(cbrt (log c))
10.0ms	(cbrt (log c))
13.0ms	(* (cbrt (log c)) (cbrt (log c)))

series1.6s

Counts

4 → 12

Calls

4 calls:

357.0ms	(cbrt (log c))
461.0ms	(cbrt (log c))
377.0ms	(cbrt (log c))
435.0ms	(* (cbrt (log c)) (cbrt (log c)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	62	747
1	148	650
2	687	538
done	5001	511

prune508.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	39
1	46	39
done	46	39

end0.0ms

sample10.3s

Algorithm

intervals

Results

4.6s	27593×	body	80	nan
2.0s	9248×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid