Details

sample309.0ms

Algorithm

intervals

Results

90.0ms	454×	body	80	valid
28.0ms	454×	pre	80	true

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
6	3591
5	1094
4	330
3	97
2	39
1	17
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- 1 m) (/ m v) -1)
0.1b	(* (fma (- 1 m) (/ m v) -1) (- 1 m))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-r`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 59

Calls

2 calls:

0.0ms	(fma (- 1 m) (/ m v) -1)
19.0ms	(* (fma (- 1 m) (/ m v) -1) (- 1 m))

series89.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(fma (- 1 m) (/ m v) -1)
67.0ms	(* (fma (- 1 m) (/ m v) -1) (- 1 m))

simplify2.2s

Counts

65 → 65

Iterations

Iter	Nodes
3	2397
2	631
1	232
0	121

prune574.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1 m) (/ m v) -1)
0.0b	(fma (- 1 m) (/ m v) -1)
0.0b	(+ (* (fma (- 1 m) (/ m v) -1) 1) (* (fma (- 1 m) (/ m v) -1) (- m)))
0.1b	(* (fma (- 1 m) (/ m v) -1) (- m))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-l` `distribute-rgt-neg-out`
2×	`fma-udef`
1×	`+-commutative` `neg-mul-1` `sum-log` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

0.0ms	(fma (- 1 m) (/ m v) -1)
0.0ms	(fma (- 1 m) (/ m v) -1)
7.0ms	(+ (* (fma (- 1 m) (/ m v) -1) 1) (* (fma (- 1 m) (/ m v) -1) (- m)))
8.0ms	(* (fma (- 1 m) (/ m v) -1) (- m))

series153.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma (- 1 m) (/ m v) -1)
20.0ms	(fma (- 1 m) (/ m v) -1)
52.0ms	(+ (* (fma (- 1 m) (/ m v) -1) 1) (* (fma (- 1 m) (/ m v) -1) (- m)))
47.0ms	(* (fma (- 1 m) (/ m v) -1) (- m))

simplify1.9s

Counts

81 → 81

Iterations

Iter	Nodes
3	3887
2	778
1	246
0	94

prune889.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.1b	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-cbrt-cube` `associate-r` `add-exp-log`
10×	`associate-l`
8×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-*r/` `difference-of-squares`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 132

Calls

3 calls:

16.0ms	(* m (- 1 m))
21.0ms	(/ (* m (- 1 m)) v)
110.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series190.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* m (- 1 m))
60.0ms	(/ (* m (- 1 m)) v)
55.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify31.3s

Counts

141 → 141

Iterations

Iter	Nodes
3	6950
2	1812
1	541
0	226

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma (- 1 m) (/ m v) -1)) (cbrt (fma (- 1 m) (/ m v) -1)))
0.3b	(cbrt (fma (- 1 m) (/ m v) -1))
0.3b	(cbrt (fma (- 1 m) (/ m v) -1))
0.3b	(cbrt (fma (- 1 m) (/ m v) -1))

rewrite16.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

8.0ms	(* (cbrt (fma (- 1 m) (/ m v) -1)) (cbrt (fma (- 1 m) (/ m v) -1)))
1.0ms	(cbrt (fma (- 1 m) (/ m v) -1))
5.0ms	(cbrt (fma (- 1 m) (/ m v) -1))
1.0ms	(cbrt (fma (- 1 m) (/ m v) -1))

series690.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (cbrt (fma (- 1 m) (/ m v) -1)) (cbrt (fma (- 1 m) (/ m v) -1)))
173.0ms	(cbrt (fma (- 1 m) (/ m v) -1))
191.0ms	(cbrt (fma (- 1 m) (/ m v) -1))
217.0ms	(cbrt (fma (- 1 m) (/ m v) -1))

simplify2.1s

Counts

97 → 97

Iterations

Iter	Nodes
4	4234
3	1442
2	563
1	250
0	112

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	10
1	10
0	8

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s	13804×	body	80	valid
619.0ms	13804×	pre	80	true