Details

sample27.0ms

Algorithm

intervals

Results

6.0ms	215×	body	80	valid
4.0ms	31×	body	1280	valid
3.0ms	27×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	6×	body	2560	valid
1.0ms	13×	body	160	valid

simplify6.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (181.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	77	8
3	200	7
4	607	5
5	1872	5
done	5000	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

21.0ms

(* (- x z) y)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (- x z) y)

simplify3.0s

Counts

27 → 27

Iterations

Useful iterations: 3 (289.0ms)

Iter	Nodes	Cost
0	51	197
1	109	190
2	349	174
3	1285	170
4	4544	170
done	5000	170

prune51.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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×	`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:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series801.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt y) (cbrt y))
193.0ms	(cbrt y)
192.0ms	(cbrt y)
194.0ms	(cbrt y)

simplify3.7s

Counts

93 → 93

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune197.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.2b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
2.8b	(sqrt (* (- x z) y))
2.8b	(sqrt (* (- x z) y))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

21.0ms	(* (- x z) y)
64.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
12.0ms	(sqrt (* (- x z) y))
10.0ms	(sqrt (* (- x z) y))

series595.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- x z) y)
66.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
245.0ms	(sqrt (* (- x z) y))
250.0ms	(sqrt (* (- x z) y))

simplify2.4s

Counts

125 → 125

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	132	1417
1	266	1048
2	835	964
3	3345	920
done	5001	908

prune216.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x z))
0.0b	(sqrt (- x z))
0.1b	(* (sqrt (- x z)) y)
0.2b	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

9.0ms	(sqrt (- x z))
10.0ms	(sqrt (- x z))
25.0ms	(* (sqrt (- x z)) y)
50.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series250.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (- x z))
66.0ms	(sqrt (- x z))
82.0ms	(* (sqrt (- x z)) y)
35.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify1.6s

Counts

111 → 111

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	134	1273
1	323	1026
2	838	940
3	2174	912
done	5001	904

prune213.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample783.0ms

Algorithm

intervals

Results

188.0ms	6961×	body	80	valid
124.0ms	970×	body	1280	valid
82.0ms	870×	body	640	valid
38.0ms	525×	body	320	valid
32.0ms	209×	body	2560	valid
27.0ms	545×	body	160	valid