Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

316×

body

valid

simplify719.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	35	8
4	52	8
5	71	8
6	87	8
7	113	8
8	170	8
9	296	8
10	445	8
11	499	8
12	511	8
13	513	8
done	513	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x y (* (- 1.0 x) z))
10.0ms	(* (- 1.0 x) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma x y (* (- 1.0 x) z))
29.0ms	(* (- 1.0 x) z)

simplify884.0ms

Counts

40 → 40

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	64	347
1	133	335
2	436	293
3	1616	293
done	5001	293

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(sqrt (- 1.0 x))
0.1b	(* (sqrt (- 1.0 x)) z)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

rewrite49.0ms

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:

5.0ms	(sqrt (- 1.0 x))
5.0ms	(sqrt (- 1.0 x))
11.0ms	(* (sqrt (- 1.0 x)) z)
24.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

series183.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (- 1.0 x))
31.0ms	(sqrt (- 1.0 x))
87.0ms	(* (sqrt (- 1.0 x)) z)
31.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

simplify2.1s

Counts

111 → 111

Iterations

Useful iterations: 3 (631.0ms)

Iter	Nodes	Cost
0	142	1304
1	352	1056
2	1098	958
3	4369	950
done	5000	950

prune274.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (/ (* z (* (- 1.0 x) (+ 1.0 x))) (+ 1.0 x)))
0.0b	(* (- 1.0 x) (+ 1.0 x))
3.4b	(* z (* (- 1.0 x) (+ 1.0 x)))
5.5b	(/ (* z (* (- 1.0 x) (+ 1.0 x))) (+ 1.0 x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-*r/`
20×	`add-exp-log` `add-cbrt-cube`
17×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`frac-times`
11×	`pow1`
10×	`flip3-+` `flip-+`
9×	`add-cube-cbrt` `flip3--` `flip--`
8×	`associate-l` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*l/`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `times-frac` `pow-prod-down` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out`
2×	`associate-/r/` `*-commutative`
1×	`frac-2neg` `clear-num` `fma-udef` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

0.0ms	(fma x y (/ (* z (* (- 1.0 x) (+ 1.0 x))) (+ 1.0 x)))
16.0ms	(* (- 1.0 x) (+ 1.0 x))
21.0ms	(* z (* (- 1.0 x) (+ 1.0 x)))
23.0ms	(/ (* z (* (- 1.0 x) (+ 1.0 x))) (+ 1.0 x))

series205.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma x y (/ (* z (* (- 1.0 x) (+ 1.0 x))) (+ 1.0 x)))
63.0ms	(* (- 1.0 x) (+ 1.0 x))
75.0ms	(* z (* (- 1.0 x) (+ 1.0 x)))
34.0ms	(/ (* z (* (- 1.0 x) (+ 1.0 x))) (+ 1.0 x))

simplify799.0ms

Counts

124 → 124

Iterations

Useful iterations: done (793.0ms)

Iter	Nodes	Cost
0	165	1793
1	486	1728
2	2522	1264
done	5000	1260

prune290.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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	8
1	8	8
done	8	8

end0.0ms

sample460.0ms

Algorithm

intervals

Results

245.0ms

10036×

body

valid