Details

sample81.0ms

Algorithm

intervals

Results

43.0ms

411×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	38	21
2	112	21
3	379	21
4	2000	21
done	5000	21

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(* (- t 1.0) a)
0.0b	(- x (* (- y 1.0) z))
0.0b	(* (- (+ y t) 2.0) b)

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
16×	`associate-l`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
6×	`associate-*l/` `add-log-exp`
4×	`flip3--` `flip--` `distribute-lft-out--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `diff-log` `distribute-lft-out`

Counts

4 → 79

Calls

4 calls:

24.0ms	(* (- y 1.0) z)
33.0ms	(* (- t 1.0) a)
9.0ms	(- x (* (- y 1.0) z))
159.0ms	(* (- (+ y t) 2.0) b)

series127.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y 1.0) z)
34.0ms	(* (- t 1.0) a)
31.0ms	(- x (* (- y 1.0) z))
30.0ms	(* (- (+ y t) 2.0) b)

simplify733.0ms

Counts

91 → 91

Iterations

Useful iterations: done (731.0ms)

Iter	Nodes	Cost
0	161	832
1	374	800
2	1589	708
done	5002	704

prune325.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

44.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
4.0ms	(cbrt (- y 1.0))
4.0ms	(cbrt (- y 1.0))
4.0ms	(cbrt (- y 1.0))

series517.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
129.0ms	(cbrt (- y 1.0))
102.0ms	(cbrt (- y 1.0))
122.0ms	(cbrt (- y 1.0))

simplify843.0ms

Counts

113 → 113

Iterations

Useful iterations: done (837.0ms)

Iter	Nodes	Cost
0	167	1563
1	397	1421
2	1403	1353
done	5001	1305

prune585.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt a) (cbrt a))
0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

18.0ms	(* (cbrt a) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series885.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt a) (cbrt a))
200.0ms	(cbrt a)
204.0ms	(cbrt a)
251.0ms	(cbrt a)

simplify922.0ms

Counts

85 → 85

Iterations

Useful iterations: done (919.0ms)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune325.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	32
1	27	32
done	27	32

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	12487×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid