Details

sample119.0ms

Algorithm

intervals

Results

18.0ms	463×	body	80	valid
9.0ms	463×	pre	80	true

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1353
4	359
3	105
2	40
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite167.0ms

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:

17.0ms	(* m (- 1.0 m))
107.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)

series205.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* m (- 1.0 m))
74.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
62.0ms	(/ (* m (- 1.0 m)) v)

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	2220
1	421
0	147

prune430.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
99×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
62×	`add-cube-cbrt`
21×	`associate-/r*`
16×	`difference-of-squares`
14×	`distribute-lft-out--`
10×	`flip3--` `flip--`
9×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
7×	`associate-l`
5×	`associate-r` `div-inv`
4×	`frac-times` `pow1`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `associate-r/` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 138

Calls

2 calls:

26.0ms	(/ m (/ v (- 1.0 m)))
387.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series138.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/ m (/ v (- 1.0 m)))
65.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify1.9s

Counts

144 → 144

Iterations

Iter	Nodes
done	5002
2	3914
1	716
0	269

prune733.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite125.0ms

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:

27.0ms	(* (/ m v) (- 1.0 m))
96.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

series112.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (/ m v) (- 1.0 m))
64.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

simplify1.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	2319
1	422
0	148

prune380.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
34×	`frac-times`
29×	`*-un-lft-identity`
24×	`flip3--` `flip--`
19×	`associate-r`
17×	`associate-l` `associate-*l/`
16×	`add-cbrt-cube` `add-exp-log`
15×	`add-cube-cbrt`
14×	`sqrt-prod`
13×	`pow1`
12×	`flip3-+` `associate-*r/` `flip-+`
10×	`times-frac`
9×	`difference-of-squares`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-prod-down` `distribute-lft-out--`
3×	`*-commutative` `unswap-sqr`
2×	`distribute-lft-out`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv`

Counts

4 → 144

Calls

4 calls:

9.0ms	(- (sqrt 1.0) (sqrt m))
32.0ms	(* (/ m v) (- 1.0 m))
152.0ms	(* (* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
98.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (sqrt 1.0) (sqrt m))
67.0ms	(* (/ m v) (- 1.0 m))
226.0ms	(* (* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
200.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify1.4s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
1	975
0	284

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes126.0ms

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
done	10
1	10
0	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

909.0ms	13862×	body	80	valid
331.0ms	13862×	pre	80	true