Details

sample15.0ms

Algorithm

intervals

Results

7.0ms	288×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify42.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	43	7
3	65	7
4	69	7
5	70	7
done	70	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

8.0ms	(+ 20.0 (+ 10.0 d2))
31.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ 20.0 (+ 10.0 d2))
33.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

simplify1.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	69	420
1	191	402
2	568	361
3	2219	361
done	5001	361

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

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))

rewrite4.0ms

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:

3.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
0.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

series219.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
86.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

simplify1.1s

Counts

38 → 38

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	54	480
1	104	327
2	279	286
3	1125	286
done	5000	286

prune70.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 20.0 (+ 10.0 d2))
0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
4.9b	(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
9.9b	(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
14×	`prod-diff`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out`
9×	`add-log-exp`
8×	`associate-r`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate-/r` `flip-+` `distribute-lft-out--`
4×	`distribute-rgt-in` `expm1-log1p-u` `frac-times` `flip3--` `distribute-lft-in` `flip--` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `fma-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `sum-log` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*` `associate--r+`

Counts

4 → 138

Calls

4 calls:

10.0ms	(- 20.0 (+ 10.0 d2))
17.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
11.0ms	(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
24.0ms	(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- 20.0 (+ 10.0 d2))
17.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
55.0ms	(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
123.0ms	(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

simplify950.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (349.0ms)

Iter	Nodes	Cost
0	219	2509
1	575	2201
2	2160	1862
done	5001	1862

prune257.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 30.0 d1 (* 1.0 (* d1 d2)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 30.0 d1 (* 1.0 (* d1 d2)))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(fma 30.0 d1 (* 1.0 (* d1 d2)))

simplify2.6s

Counts

13 → 13

Iterations

Useful iterations: 4 (83.0ms)

Iter	Nodes	Cost
0	18	138
1	25	135
2	57	119
3	186	106
4	748	93
5	3521	93
done	5001	93

prune29.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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	9	8
done	9	8

end0.0ms

sample373.0ms

Algorithm

intervals

Results

213.0ms	9014×	body	80	valid
6.0ms	57×	body	1280	valid
4.0ms	41×	body	640	valid
2.0ms	30×	body	320	valid
0.0ms	10×	body	160	valid