Details

sample124.0ms

Algorithm

intervals

Results

14.0ms	460×	body	80	valid
8.0ms	460×	pre	80	true

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize11.0ms

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)

rewrite226.0ms

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:

26.0ms	(* m (- 1.0 m))
160.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)

series224.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(* m (- 1.0 m))
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
83.0ms	(/ (* m (- 1.0 m)) v)

simplify1.5s

Counts

134 → 134

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	223	2618
1	499	2242
2	1671	1959
done	5000	1880

prune284.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite515.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 199

Calls

3 calls:

11.0ms	(/ v (- 1.0 m))
23.0ms	(/ m (/ v (- 1.0 m)))
470.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series197.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ v (- 1.0 m))
65.0ms	(/ m (/ v (- 1.0 m)))
66.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify2.1s

Counts

208 → 208

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	345	3782
1	759	3443
2	2737	3227
done	5001	3180

prune639.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.0b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
14.4b	(/ (pow m 2) v)

rewrite584.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
49×	`add-cube-cbrt` `times-frac`
46×	`prod-diff`
21×	`unpow-prod-down`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log`
8×	`associate-/l*` `unpow2`
7×	`flip3--` `add-cbrt-cube` `flip--` `sqr-pow`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`frac-times` `associate-*r/`
3×	`expm1-log1p-u` `sub-neg` `div-exp` `associate-/r*` `log1p-expm1-u`
2×	`associate-*l/` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `sub-div` `unswap-sqr`

Counts

3 → 151

Calls

3 calls:

23.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
543.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
10.0ms	(/ (pow m 2) v)

series134.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
62.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
29.0ms	(/ (pow m 2) v)

simplify2.5s

Counts

160 → 160

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	381	4255
1	880	3704
2	2754	2649
done	5001	2556

prune378.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite561.0ms

Algorithm

rewrite-expression-head

Rules

125×	`sqrt-prod`
108×	`prod-diff`
103×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
83×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
16×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
14×	`associate-r`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`pow1`
9×	`difference-of-squares`
6×	`fma-neg` `associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 249

Calls

4 calls:

15.0ms	(- (sqrt 1.0) (sqrt m))
22.0ms	(/ (* m (- 1.0 m)) v)
261.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
231.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (sqrt 1.0) (sqrt m))
57.0ms	(/ (* m (- 1.0 m)) v)
183.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
179.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify927.0ms

Counts

261 → 261

Iterations

Useful iterations: done (907.0ms)

Iter	Nodes	Cost
0	381	9463
1	1135	7609
done	5001	6562

prune658.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes74.0ms

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	9	13
done	9	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

757.0ms	13812×	pre	80	true
743.0ms	13812×	body	80	valid