Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

327×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	7	163
1	11	163
2	20	138
3	36	138
4	62	138
5	90	138
6	113	138
7	150	138
8	353	138
9	1228	138
done	5000	138

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y (- z x) x)
6.9b	(/ (fma y (- z x) x) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma y (- z x) x)
4.0ms	(/ (fma y (- z x) x) z)

series98.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma y (- z x) x)
54.0ms	(/ (fma y (- z x) x) z)

simplify1.7s

Counts

45 → 45

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	66	10546
1	117	10273
2	286	9998
3	1674	9998
done	5002	9923

prune270.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ y (/ x z))
0.0b	(fma (- (/ x z)) y (+ y (/ x z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

9.0ms	(+ y (/ x z))
0.0ms	(fma (- (/ x z)) y (+ y (/ x z)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ y (/ x z))
56.0ms	(fma (- (/ x z)) y (+ y (/ x z)))

simplify1.7s

Counts

33 → 33

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	43	5949
1	106	5433
2	299	5273
3	1115	5273
done	5000	5273

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- (/ x z)) y (+ y (/ x z)))) (cbrt (fma (- (/ x z)) y (+ y (/ x z)))))
0.5b	(cbrt (fma (- (/ x z)) y (+ y (/ x z))))
0.5b	(cbrt (fma (- (/ x z)) y (+ y (/ x z))))
0.5b	(cbrt (fma (- (/ x z)) y (+ y (/ x z))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

9.0ms	(* (cbrt (fma (- (/ x z)) y (+ y (/ x z)))) (cbrt (fma (- (/ x z)) y (+ y (/ x z)))))
1.0ms	(cbrt (fma (- (/ x z)) y (+ y (/ x z))))
1.0ms	(cbrt (fma (- (/ x z)) y (+ y (/ x z))))
1.0ms	(cbrt (fma (- (/ x z)) y (+ y (/ x z))))

series1.5s

Counts

4 → 12

Calls

4 calls:

547.0ms	(* (cbrt (fma (- (/ x z)) y (+ y (/ x z)))) (cbrt (fma (- (/ x z)) y (+ y (/ x z)))))
355.0ms	(cbrt (fma (- (/ x z)) y (+ y (/ x z))))
328.0ms	(cbrt (fma (- (/ x z)) y (+ y (/ x z))))
300.0ms	(cbrt (fma (- (/ x z)) y (+ y (/ x z))))

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	120	39053
1	286	35755
2	1014	35217
done	5000	34001

prune652.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (- z x)) x)
0.0b	(* y (- z x))
6.9b	(/ (+ (* y (- z x)) x) z)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
37×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r` `add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 113

Calls

3 calls:

25.0ms	(+ (* y (- z x)) x)
37.0ms	(* y (- z x))
33.0ms	(/ (+ (* y (- z x)) x) z)

series150.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* y (- z x)) x)
42.0ms	(* y (- z x))
57.0ms	(/ (+ (* y (- z x)) x) z)

simplify1.5s

Counts

122 → 122

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	175	32842
1	415	27281
2	1502	22104
done	5001	22029

prune611.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes194.0ms

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	178
1	10	178
done	10	178

end0.0ms

sample972.0ms

Algorithm

intervals

Results

538.0ms

10107×

body

valid