Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	290×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid

simplify78.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	45	7
3	72	7
4	83	7
5	84	7
done	84	7

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 20.0 (+ 10.0 d2))
0.0b	(* d1 (+ 20.0 (+ 10.0 d2)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-log-exp`
6×	`distribute-lft-out`
5×	`add-cube-cbrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`fma-def` `associate-l` `sum-log`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

19.0ms	(+ 20.0 (+ 10.0 d2))
68.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

series56.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ 20.0 (+ 10.0 d2))
37.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

simplify2.2s

Counts

52 → 52

Iterations

Useful iterations: 3 (961.0ms)

Iter	Nodes	Cost
0	69	420
1	191	402
2	662	364
3	3203	361
done	5000	361

prune146.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 20.0 10.0) d2))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

102.0ms

(* d1 (+ (+ 20.0 10.0) d2))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* d1 (+ (+ 20.0 10.0) d2))

simplify1.9s

Counts

29 → 29

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	52	269
1	151	259
2	567	228
3	2925	228
done	5002	228

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
0.6b	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

7.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
0.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

series241.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
103.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

simplify1.1s

Counts

38 → 38

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	54	480
1	105	327
2	300	286
3	1529	286
done	5000	286

prune90.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 20.0 (+ 10.0 d2)))
0.1b	(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
0.2b	(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))))
0.6b	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
14×	`associate-r` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
6×	`sqrt-div` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def`

Counts

4 → 83

Calls

4 calls:

43.0ms	(sqrt (+ 20.0 (+ 10.0 d2)))
108.0ms	(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
104.0ms	(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))))
0.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

series756.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (+ 20.0 (+ 10.0 d2)))
100.0ms	(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
492.0ms	(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))))
115.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	210	1607
1	540	1158
2	1892	1045
done	5002	1035

prune355.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

473.0ms	8962×	body	80	valid
456.0ms	67×	body	1280	valid
8.0ms	52×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	11×	body	160	valid