Details

sample56.0ms

Algorithm

intervals

Results

24.0ms

555×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	691
5	134
4	48
3	21
2	12
1	8
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (exp (* y y)))
0.0b	(exp (* y y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l` `add-exp-log`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`exp-prod` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

2 → 32

Calls

2 calls:

10.0ms	(* x (exp (* y y)))
4.0ms	(exp (* y y))

series60.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* x (exp (* y y)))
12.0ms	(exp (* y y))

simplify2.1s

Counts

38 → 38

Iterations

Iter	Nodes
done	5002
3	2516
2	428
1	105
0	48

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* y y))
0.0b	(exp (* y y))
0.0b	(sqrt (exp (* y y)))
0.0b	(sqrt (exp (* y y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `sqrt-pow1` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `exp-to-pow` `add-exp-log` `log1p-expm1-u`
2×	`rem-sqrt-square` `pow1/2` `rem-exp-log`

Counts

4 → 58

Calls

4 calls:

3.0ms	(exp (* y y))
3.0ms	(exp (* y y))
3.0ms	(sqrt (exp (* y y)))
3.0ms	(sqrt (exp (* y y)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(exp (* y y))
11.0ms	(exp (* y y))
37.0ms	(sqrt (exp (* y y)))
36.0ms	(sqrt (exp (* y y)))

simplify2.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	1761
2	325
1	77
0	43

prune357.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x (pow (exp y) (/ y 2))) (sqrt (exp (* y y))))
0.0b	(pow (exp y) (/ y 2))
0.0b	(exp (* y y))
0.0b	(sqrt (exp (* y y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow-unpow` `add-exp-log`
9×	`times-frac` `add-cbrt-cube`
8×	`pow1`
7×	`prod-exp` `add-log-exp`
6×	`associate-r` `sqrt-prod`
5×	`exp-prod`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`unpow-prod-down` `sqrt-pow1` `cbrt-unprod`
2×	`pow-to-exp` `exp-to-pow` `pow-exp`
1×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `*-commutative` `div-inv` `sqr-pow` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

33.0ms	(* (* x (pow (exp y) (/ y 2))) (sqrt (exp (* y y))))
8.0ms	(pow (exp y) (/ y 2))
5.0ms	(exp (* y y))
5.0ms	(sqrt (exp (* y y)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (* x (pow (exp y) (/ y 2))) (sqrt (exp (* y y))))
46.0ms	(pow (exp y) (/ y 2))
14.0ms	(exp (* y y))
26.0ms	(sqrt (exp (* y y)))

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1782
1	370
0	136

prune529.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* x (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2)))
0.0b	(pow (exp y) (/ y 2))
0.0b	(pow (exp y) (/ y 2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow-unpow`
23×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
22×	`add-exp-log`
21×	`prod-exp`
18×	`times-frac`
9×	`pow-to-exp` `unpow-prod-down` `pow-exp`
8×	`pow-pow` `add-cbrt-cube`
7×	`associate-r`
6×	`exp-prod`
5×	`pow1`
3×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`div-inv`
1×	`associate-l` `*-commutative`

Counts

3 → 96

Calls

3 calls:

31.0ms	(* (* x (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2)))
5.0ms	(pow (exp y) (/ y 2))
5.0ms	(pow (exp y) (/ y 2))

series192.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(* (* x (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2)))
54.0ms	(pow (exp y) (/ y 2))
49.0ms	(pow (exp y) (/ y 2))

simplify1.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1575
1	349
0	116

prune479.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

540.0ms

15816×

body

valid