Details

sample166.0ms

Algorithm

intervals

Results

40.0ms	454×	body	80	valid
20.0ms	454×	pre	80	true

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
6	2954
5	1000
4	312
3	99
2	39
1	17
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
12×	`add-cbrt-cube` `associate-r` `add-exp-log`
10×	`associate-l`
9×	`add-cube-cbrt`
8×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-*r/` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `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 → 90

Calls

3 calls:

30.0ms	(* m (- 1 m))
27.0ms	(/ (* m (- 1 m)) v)
98.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series167.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* m (- 1 m))
52.0ms	(/ (* m (- 1 m)) v)
46.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify5.2s

Counts

99 → 99

Iterations

Iter	Nodes
3	5158
2	1288
1	399
0	150

prune798.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
15×	`*-un-lft-identity`
14×	`associate-*r/`
12×	`add-cube-cbrt`
10×	`associate-l`
7×	`flip3--` `associate-r` `flip--`
6×	`distribute-rgt-in` `pow1` `associate-/r*` `sub-neg` `distribute-lft-in` `times-frac` `add-log-exp`
4×	`cbrt-undiv` `associate-+l+` `associate-+r+` `div-exp` `frac-add` `insert-posit16` `associate-/l/`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `neg-mul-1` `sum-log` `flip3-+` `distribute-rgt-out` `difference-of-sqr-1` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

19.0ms	(/ (* m (- 1 m)) v)
15.0ms	(/ (* m (- 1 m)) v)
22.0ms	(+ (* 1 (- (/ (* m (- 1 m)) v) 1)) (* (- m) (- (/ (* m (- 1 m)) v) 1)))
50.0ms	(* (- m) (- (/ (* m (- 1 m)) v) 1))

series164.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* m (- 1 m)) v)
42.0ms	(/ (* m (- 1 m)) v)
44.0ms	(+ (* 1 (- (/ (* m (- 1 m)) v) 1)) (* (- m) (- (/ (* m (- 1 m)) v) 1)))
35.0ms	(* (- m) (- (/ (* m (- 1 m)) v) 1))

simplify741.0ms

Counts

124 → 124

Iterations

Iter	Nodes
2	2035
1	549
0	175

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1))) (cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1))))
0.6b	(cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1)))
0.6b	(cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1)))
0.6b	(cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

40.0ms	(* (cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1))) (cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1))))
25.0ms	(cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1)))
31.0ms	(cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1)))
14.0ms	(cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1)))

series1.2s

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1))) (cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1))))
282.0ms	(cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1)))
289.0ms	(cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1)))
327.0ms	(cbrt (* (- m) (- (/ (* m (- 1 m)) v) 1)))

simplify1.9s

Counts

88 → 88

Iterations

Iter	Nodes
3	2755
2	905
1	345
0	144

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 m) v)
0.1b	(* (- (* m (/ (- 1 m) v)) 1) (- 1 m))
0.2b	(* m (/ (- 1 m) v))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
37×	`times-frac`
28×	`associate-r`
27×	`add-cube-cbrt`
16×	`difference-of-squares`
12×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--`
7×	`pow1` `flip3--` `flip--`
6×	`associate-l` `associate-/l*`
4×	`frac-times`
3×	`associate-/r` `prod-exp` `associate-r/` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub`

Counts

3 → 119

Calls

3 calls:

13.0ms	(/ (- 1 m) v)
67.0ms	(* (- (* m (/ (- 1 m) v)) 1) (- 1 m))
31.0ms	(* m (/ (- 1 m) v))

series115.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (- 1 m) v)
46.0ms	(* (- (* m (/ (- 1 m) v)) 1) (- 1 m))
37.0ms	(* m (/ (- 1 m) v))

simplify4.7s

Counts

128 → 128

Iterations

Iter	Nodes
3	4958
2	1540
1	493
0	183

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
4	28
3	28
2	21
1	17
0	11

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	13804×	body	80	valid
1.0s	13804×	pre	80	true