Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

331×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	62	7
4	161	7
5	283	7
6	397	7
7	559	7
8	736	7
9	1179	7
10	1379	7
11	1406	7
done	1406	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

43.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify1.2s

Counts

56 → 56

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	134	1028
1	374	845
2	1178	725
done	5000	700

prune112.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
32×	`frac-times`
25×	`add-sqr-sqrt`
23×	`flip3--` `flip--`
21×	`*-un-lft-identity` `sqrt-prod`
16×	`associate-r` `associate-*l/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `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` `*-commutative` `unswap-sqr`
1×	`distribute-lft-out`

Counts

4 → 124

Calls

4 calls:

20.0ms	(sqrt (- 1.0 z))
11.0ms	(sqrt (- 1.0 z))
105.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))
44.0ms	(* (+ x y) (sqrt (- 1.0 z)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (- 1.0 z))
38.0ms	(sqrt (- 1.0 z))
53.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))
124.0ms	(* (+ x y) (sqrt (- 1.0 z)))

simplify1.0s

Counts

136 → 136

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	194	2275
1	511	1917
2	1524	1755
done	5000	1749

prune495.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.7b	(* (- (* x x) (* y y)) (- 1.0 z))
3.7b	(- (* x x) (* y y))
27.3b	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt` `prod-diff`
14×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp` `difference-of-squares`
4×	`associate-r/` `associate-l` `associate-l/`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

60.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
18.0ms	(- (* x x) (* y y))
83.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

series184.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
46.0ms	(- (* x x) (* y y))
81.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

simplify2.0s

Counts

116 → 116

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	215	2402
1	557	2137
2	2354	1845
done	5000	1805

prune415.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x z (* z y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x z (* z y))

series48.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(fma x z (* z y))

simplify4.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	16	108
1	20	105
2	49	80
3	201	80
4	732	80
5	3526	80
done	5000	80

prune28.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes153.0ms

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	7	7
1	9	7
done	9	7

end0.0ms

sample922.0ms

Algorithm

intervals

Results

495.0ms	10072×	body	80	valid
0.0ms	2×	body	640	valid