Details

sample253.0ms

Algorithm

intervals

Results

103.0ms	462×	body	80	valid
20.0ms	462×	pre	80	true

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	110	13
4	379	13
5	1133	13
6	3190	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `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 → 125

Calls

3 calls:

28.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
177.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series241.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* m (- 1.0 m))
72.0ms	(/ (* m (- 1.0 m)) v)
80.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.7s

Counts

134 → 134

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	223	2618
1	499	2242
2	1674	1959
done	5002	1880

prune329.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
22×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
20×	`prod-diff`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
11×	`associate-l`
10×	`pow1` `associate-*r/`
8×	`flip3--` `flip--`
7×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sub-neg` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `difference-of-squares` `unswap-sqr`
2×	`flip3-+` `associate-*l/` `associate-/r/` `flip-+` `associate-/l/` `distribute-lft-out--`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 135

Calls

4 calls:

39.0ms	(* v (+ 1.0 m))
38.0ms	(* m (- (* 1.0 1.0) (* m m)))
30.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
182.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

series379.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* v (+ 1.0 m))
124.0ms	(* m (- (* 1.0 1.0) (* m m)))
100.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
107.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

simplify2.1s

Counts

147 → 147

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	255	3578
1	661	3317
2	2847	2936
done	5000	2912

prune419.0ms

Pruning

4 alts after pruning (4 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))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 114

Calls

2 calls:

65.0ms	(* (/ m v) (- 1.0 m))
134.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

series103.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (/ m v) (- 1.0 m))
46.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

simplify1.5s

Counts

120 → 120

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	223	2632
1	546	2256
2	1834	1983
done	5000	1923

prune303.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

39.0ms	(* (- 1.0 m) m)
38.0ms	(/ (* (- 1.0 m) m) v)
182.0ms	(* (- (* (/ 1 1) (/ (* (- 1.0 m) m) v)) 1.0) (- 1.0 m))

series179.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(* (- 1.0 m) m)
45.0ms	(/ (* (- 1.0 m) m) v)
45.0ms	(* (- (* (/ 1 1) (/ (* (- 1.0 m) m) v)) 1.0) (- 1.0 m))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	198	2430
1	483	2040
2	1797	1653
done	5000	1610

prune340.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	13729×	body	80	valid
378.0ms	13729×	pre	80	true