Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

331×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	44
4	44
3	38
2	23
1	10
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-r*`
4×	`associate-l`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

73.0ms

(* x (- 1.0 (* x y)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(* x (- 1.0 (* x y)))

simplify1.8s

Counts

32 → 32

Iterations

Iter	Nodes
done	5086
3	1909
2	469
1	158
0	60

prune164.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (- (* x y)) x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-l`
15×	`add-sqr-sqrt`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
9×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `*-commutative` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

60.0ms

(* (- (* x y)) x)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* (- (* x y)) x)

simplify2.4s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
3	2185
2	536
1	168
0	72

prune214.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

65×	`cbrt-prod`
63×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
22×	`distribute-lft-out--`
21×	`associate-l`
18×	`cbrt-div`
16×	`swap-sqr`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `unswap-sqr`
10×	`associate-r`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 124

Calls

4 calls:

21.0ms	(cbrt (- 1.0 (* x y)))
22.0ms	(cbrt (- 1.0 (* x y)))
21.0ms	(cbrt (- 1.0 (* x y)))
167.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

310.0ms	(cbrt (- 1.0 (* x y)))
359.0ms	(cbrt (- 1.0 (* x y)))
333.0ms	(cbrt (- 1.0 (* x y)))
271.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify2.6s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
3	4884
2	1305
1	427
0	172

prune582.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y)))))
0.2b	(* (- 1.0 (* x y)) (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
4.7b	(cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))

rewrite661.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
78×	`cbrt-prod`
57×	`associate-r`
50×	`distribute-lft-out--`
49×	`associate-l`
40×	`swap-sqr`
26×	`difference-of-squares`
23×	`unswap-sqr`
21×	`add-cube-cbrt`
19×	`flip3--` `flip--`
18×	`cbrt-div`
14×	`associate-*r/`
13×	`pow1`
12×	`frac-times`
9×	`add-cbrt-cube`
8×	`add-exp-log`
6×	`associate-*l/`
5×	`*-commutative`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `pow-prod-down` `prod-exp`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 190

Calls

4 calls:

371.0ms	(* x (cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y)))))
155.0ms	(* (- 1.0 (* x y)) (- 1.0 (* x y)))
11.0ms	(cbrt (- 1.0 (* x y)))
116.0ms	(cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))

series1.6s

Counts

4 → 12

Calls

4 calls:

436.0ms	(* x (cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y)))))
72.0ms	(* (- 1.0 (* x y)) (- 1.0 (* x y)))
331.0ms	(cbrt (- 1.0 (* x y)))
723.0ms	(cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))

simplify2.3s

Counts

202 → 202

Iterations

Iter	Nodes
done	5001
2	2311
1	717
0	286

prune841.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	24
3	24
2	23
1	18
0	8

end0.0ms

sample998.0ms

Algorithm

intervals

Results

769.0ms

10503×

body

valid