Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

305×

body

valid

simplify715.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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	423	8
11	477	8
12	489	8
13	491	8
done	491	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	(* z (- 1.0 y))
0.0b	(fma x y (* z (- 1.0 y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `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 → 56

Calls

2 calls:

12.0ms	(* z (- 1.0 y))
0.0ms	(fma x y (* z (- 1.0 y)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* z (- 1.0 y))
39.0ms	(fma x y (* z (- 1.0 y)))

simplify2.1s

Counts

62 → 62

Iterations

Useful iterations: 3 (462.0ms)

Iter	Nodes	Cost
0	116	865
1	217	695
2	748	539
3	2978	479
done	5000	479

prune110.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `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 → 56

Calls

2 calls:

0.0ms	(fma z 1.0 (* y (- x z)))
15.0ms	(* y (- x z))

series74.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma z 1.0 (* y (- x z)))
36.0ms	(* y (- x z))

simplify2.7s

Counts

62 → 62

Iterations

Useful iterations: 3 (480.0ms)

Iter	Nodes	Cost
0	117	865
1	217	683
2	785	539
3	3326	515
done	5000	515

prune107.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

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:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series790.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt y) (cbrt y))
191.0ms	(cbrt y)
197.0ms	(cbrt y)
186.0ms	(cbrt y)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 3 (313.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune258.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-l` `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-l/` `-commutative` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

6.0ms	(sqrt (- 1.0 y))
6.0ms	(sqrt (- 1.0 y))
26.0ms	(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
12.0ms	(* z (sqrt (- 1.0 y)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (- 1.0 y))
39.0ms	(sqrt (- 1.0 y))
36.0ms	(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
66.0ms	(* z (sqrt (- 1.0 y)))

simplify682.0ms

Counts

111 → 111

Iterations

Useful iterations: done (678.0ms)

Iter	Nodes	Cost
0	144	1309
1	364	1069
2	1386	957
done	5001	949

prune311.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes62.0ms

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

sample461.0ms

Algorithm

intervals

Results

239.0ms

10100×

body

valid