Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

305×

body

valid

simplify404.0ms

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	156	8
9	217	8
10	266	8
11	296	8
12	326	8
13	344	8
14	346	8
done	346	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)))

rewrite17.0ms

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:

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* z (- 1.0 y))
35.0ms	(fma x y (* z (- 1.0 y)))

simplify881.0ms

Counts

62 → 62

Iterations

Useful iterations: 3 (223.0ms)

Iter	Nodes	Cost
0	116	865
1	209	695
2	463	557
3	1588	515
done	5000	515

prune106.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite52.0ms

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:

5.0ms	(sqrt (- 1.0 y))
9.0ms	(sqrt (- 1.0 y))
24.0ms	(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
11.0ms	(* z (sqrt (- 1.0 y)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (- 1.0 y))
36.0ms	(sqrt (- 1.0 y))
42.0ms	(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
66.0ms	(* z (sqrt (- 1.0 y)))

simplify1.3s

Counts

111 → 111

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	144	1309
1	358	1061
2	1004	957
3	3029	949
done	5000	947

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (* (* z (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y))))
0.0b	(* z (+ (sqrt 1.0) (sqrt y)))
0.1b	(* (* z (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

80×	`sqrt-prod`
72×	`prod-diff`
64×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
54×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-r`
10×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
4×	`frac-times` `flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `difference-of-squares`
3×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-l/` `-commutative` `distribute-lft-out` `distribute-lft-out--`
1×	`fma-udef` `unswap-sqr`

Counts

3 → 146

Calls

3 calls:

0.0ms	(fma x y (* (* z (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y))))
20.0ms	(* z (+ (sqrt 1.0) (sqrt y)))
48.0ms	(* (* z (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y)))

series534.0ms

Counts

3 → 9

Calls

3 calls:

174.0ms	(fma x y (* (* z (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y))))
82.0ms	(* z (+ (sqrt 1.0) (sqrt y)))
278.0ms	(* (* z (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y)))

simplify1.2s

Counts

155 → 155

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	275	4883
1	761	3648
2	2785	2855
done	5000	2791

prune268.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- (sqrt 1.0) (sqrt y))) (cbrt (- (sqrt 1.0) (sqrt y))))
0.1b	(cbrt (- (sqrt 1.0) (sqrt y)))
0.1b	(cbrt (- (sqrt 1.0) (sqrt y)))
0.1b	(cbrt (- (sqrt 1.0) (sqrt y)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

127×	`add-sqr-sqrt`
95×	`cbrt-prod`
66×	`sqrt-prod`
52×	`difference-of-squares`
49×	`*-un-lft-identity`
26×	`swap-sqr`
18×	`cbrt-div`
16×	`distribute-lft-out--`
15×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 145

Calls

4 calls:

43.0ms	(* (cbrt (- (sqrt 1.0) (sqrt y))) (cbrt (- (sqrt 1.0) (sqrt y))))
5.0ms	(cbrt (- (sqrt 1.0) (sqrt y)))
5.0ms	(cbrt (- (sqrt 1.0) (sqrt y)))
5.0ms	(cbrt (- (sqrt 1.0) (sqrt y)))

series2.0s

Counts

4 → 12

Calls

4 calls:

865.0ms	(* (cbrt (- (sqrt 1.0) (sqrt y))) (cbrt (- (sqrt 1.0) (sqrt y))))
384.0ms	(cbrt (- (sqrt 1.0) (sqrt y)))
380.0ms	(cbrt (- (sqrt 1.0) (sqrt y)))
364.0ms	(cbrt (- (sqrt 1.0) (sqrt y)))

simplify573.0ms

Counts

157 → 157

Iterations

Useful iterations: done (567.0ms)

Iter	Nodes	Cost
0	191	3386
1	474	3023
2	1478	2846
done	5000	2763

prune714.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

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

sample456.0ms

Algorithm

intervals

Results

237.0ms

10100×

body

valid