Details

sample69.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
17.0ms	251×	body	80	nan

simplify212.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	41	13
3	69	13
4	94	13
5	118	13
6	131	13
7	133	13
done	133	13

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`fma-udef`

Counts

3 → 153

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
21.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
32.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
106.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
119.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.4s

Counts

162 → 162

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	250	3612
1	548	3468
2	1873	3294
done	5000	3288

prune515.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.1b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--` `fma-udef`

Counts

3 → 90

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
45.0ms	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
22.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
119.0ms	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
94.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify2.4s

Counts

99 → 99

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	143	1667
1	349	1615
2	956	1455
3	3068	1453
done	5001	1452

prune329.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)
0.0b	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
440×	`add-sqr-sqrt` `*-un-lft-identity`
336×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r/`
32×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 451

Calls

4 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
14.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
26.0ms	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)
51.0ms	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))

series361.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
112.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
94.0ms	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)
98.0ms	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))

simplify2.3s

Counts

463 → 463

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	617	12916
1	1441	11801
2	2971	10792
done	5000	10690

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.1b	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
0.1b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

652×	`times-frac`
371×	`add-sqr-sqrt` `*-un-lft-identity`
279×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
36×	`div-inv`
27×	`add-exp-log`
24×	`associate-/l*`
17×	`div-exp` `add-cbrt-cube`
16×	`associate-/r*`
9×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`flip3--` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 356

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
48.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
27.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
97.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
89.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify2.0s

Counts

365 → 365

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	542	11192
1	1540	9848
2	3640	9216
done	5000	9216

prune736.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	12	13
done	12	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

765.0ms	8000×	body	80	valid
488.0ms	8028×	body	80	nan