Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

315×

body

valid

simplify166.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	400
6	400
5	393
4	220
3	98
2	44
1	16
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ y x) (+ z 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`associate-l/` `associate-r/` `distribute-lft-out`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

27.0ms

(* (+ y x) (+ z 1.0))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (+ y x) (+ z 1.0))

simplify819.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
2	1385
1	289
0	81

prune178.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ x y) z) (* (+ x y) 1.0))
0.0b	(* (+ x y) z)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`pow1` `add-cbrt-cube` `associate-l` `frac-add` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

20.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
31.0ms	(* (+ x y) z)

series87.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
33.0ms	(* (+ x y) z)

simplify1.1s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
2	1408
1	307
0	98

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ y x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

40.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
6.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ y x))

series824.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
187.0ms	(cbrt (+ x y))
193.0ms	(cbrt (+ x y))
192.0ms	(cbrt (+ y x))

simplify1.1s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1523
1	376
0	160

prune678.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))
0.1b	(* (* (+ x y) (+ z 1.0)) (- z 1.0))
7.5b	(/ (* (* (+ x y) (+ z 1.0)) (- z 1.0)) (- z 1.0))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times`
42×	`flip3-+` `flip-+`
30×	`-un-lft-identity` `associate-l/`
28×	`add-sqr-sqrt`
26×	`associate-/l/`
20×	`add-cube-cbrt`
19×	`flip3--` `add-cbrt-cube` `add-exp-log` `flip--`
18×	`prod-diff` `associate-*r/`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
9×	`associate-r`
7×	`prod-exp` `cbrt-unprod`
5×	`associate-/r` `times-frac` `associate-l*`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`sub-neg` `associate-/r/` `*-commutative` `distribute-lft-out`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 159

Calls

3 calls:

36.0ms	(* (+ x y) (+ z 1.0))
62.0ms	(* (* (+ x y) (+ z 1.0)) (- z 1.0))
74.0ms	(/ (* (* (+ x y) (+ z 1.0)) (- z 1.0)) (- z 1.0))

series221.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (+ x y) (+ z 1.0))
109.0ms	(* (* (+ x y) (+ z 1.0)) (- z 1.0))
59.0ms	(/ (* (* (+ x y) (+ z 1.0)) (- z 1.0)) (- z 1.0))

simplify616.0ms

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
1	989
0	272

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes296.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

493.0ms	9969×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid