Details

sample84.0ms

Algorithm

intervals

Results

15.0ms	420×	body	80	valid
7.0ms	420×	pre	80	true

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4269
5	937
4	310
3	98
2	38
1	16
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

35.0ms	(* m (- 1.0 m))
25.0ms	(/ (* m (- 1.0 m)) v)
110.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series219.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* m (- 1.0 m))
59.0ms	(/ (* m (- 1.0 m)) v)
89.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5012
2	1569
1	419
0	147

prune495.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 m) m)
0.0b	(/ (* (- 1.0 m) m) v)
0.1b	(* (- (/ (* (- 1.0 m) m) v) 1.0) (- 1.0 m))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

29.0ms	(* (- 1.0 m) m)
16.0ms	(/ (* (- 1.0 m) m) v)
94.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) (- 1.0 m))

series183.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* (- 1.0 m) m)
70.0ms	(/ (* (- 1.0 m) m) v)
50.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) (- 1.0 m))

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1599
1	400
0	145

prune503.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ m v) (- 1.0 m))
0.1b	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`-un-lft-identity` `associate-l*`
12×	`add-cube-cbrt`
10×	`times-frac` `associate-r`
9×	`add-cbrt-cube` `add-exp-log`
8×	`flip3--` `flip--`
6×	`frac-times` `pow1`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
3×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`cbrt-undiv` `div-exp` `div-inv`

Counts

2 → 74

Calls

2 calls:

49.0ms	(* (/ m v) (- 1.0 m))
106.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

series114.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* (/ m v) (- 1.0 m))
59.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

simplify1.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1646
1	419
0	148

prune397.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 m) m)
0.0b	(/ (* (- 1.0 m) m) v)
0.1b	(* (* (- (/ (* (- 1.0 m) m) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b	(* (- (/ (* (- 1.0 m) m) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite391.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
27×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `flip3--` `flip--`
20×	`associate-*l/`
18×	`add-cbrt-cube` `add-exp-log`
17×	`associate-r`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`associate-l` `add-cube-cbrt`
10×	`associate-*r/`
8×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`pow-prod-down`
4×	`distribute-lft-out--` `add-log-exp`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `times-frac` `-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp` `distribute-lft-out` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 131

Calls

4 calls:

25.0ms	(* (- 1.0 m) m)
27.0ms	(/ (* (- 1.0 m) m) v)
210.0ms	(* (* (- (/ (* (- 1.0 m) m) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
123.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (- 1.0 m) m)
47.0ms	(/ (* (- 1.0 m) m) v)
208.0ms	(* (* (- (/ (* (- 1.0 m) m) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
212.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify1.6s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
1	907
0	260

prune928.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s	13616×	body	80	valid
357.0ms	13616×	pre	80	true