Details

sample121.0ms

Algorithm

intervals

Results

20.0ms	462×	body	80	valid
11.0ms	462×	pre	80	true

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	103	13
4	343	13
5	939	13
6	2377	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
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×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 83

Calls

3 calls:

29.0ms	(* m (- 1.0 m))
21.0ms	(/ (* m (- 1.0 m)) v)
115.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series190.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
83.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify931.0ms

Counts

92 → 92

Iterations

Useful iterations: done (927.0ms)

Iter	Nodes	Cost
0	147	1290
1	386	1245
2	1439	1143
done	5000	1119

prune290.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite176.0ms

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-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `frac-times`
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:

32.0ms	(* (/ m v) (- 1.0 m))
139.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

series127.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (/ m v) (- 1.0 m))
62.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

simplify1.0s

Counts

80 → 80

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	148	1244
1	403	1206
2	1544	1114
done	5000	1102

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (* (/ 1 1) (/ (* m (- 1.0 m)) v)) 1.0) (- 1.0 m))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

22.0ms	(* m (- 1.0 m))
19.0ms	(/ (* m (- 1.0 m)) v)
174.0ms	(* (- (* (/ 1 1) (/ (* m (- 1.0 m)) v)) 1.0) (- 1.0 m))

series210.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* m (- 1.0 m))
58.0ms	(/ (* m (- 1.0 m)) v)
57.0ms	(* (- (* (/ 1 1) (/ (* m (- 1.0 m)) v)) 1.0) (- 1.0 m))

simplify1.3s

Counts

90 → 90

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	148	1470
1	396	1325
2	1445	1115
done	5000	1091

prune290.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* v (+ 1.0 m))
0.0b	(* m (- (* 1.0 1.0) (* m m)))
0.1b	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
0.1b	(* (- (* (/ 1 1) (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))) 1.0) (- 1.0 m))

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

33.0ms	(* v (+ 1.0 m))
57.0ms	(* m (- (* 1.0 1.0) (* m m)))
58.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
300.0ms	(* (- (* (/ 1 1) (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))) 1.0) (- 1.0 m))

series344.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* v (+ 1.0 m))
105.0ms	(* m (- (* 1.0 1.0) (* m m)))
106.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
87.0ms	(* (- (* (/ 1 1) (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))) 1.0) (- 1.0 m))

simplify1.8s

Counts

117 → 117

Iterations

Useful iterations: 2 (636.0ms)

Iter	Nodes	Cost
0	196	2530
1	570	2355
2	2597	1951
done	5000	1951

prune424.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	10	13
done	10	13

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s	13729×	pre	80	true
720.0ms	13729×	body	80	valid