Details

sample117.0ms

Algorithm

intervals

Results

15.0ms	453×	body	80	valid
7.0ms	453×	pre	80	true

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	203
1	16	203
2	40	203
3	112	203
4	395	203
5	1604	203
done	5000	203

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite626.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

410.0ms	(* m (- 1.0 m))
42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
134.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
26.0ms	(/ (* m (- 1.0 m)) v)

series252.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* m (- 1.0 m))
45.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
61.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
79.0ms	(/ (* m (- 1.0 m)) v)

simplify2.7s

Counts

181 → 181

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	265	69339
1	679	57892
2	3831	45250
done	5001	45175

prune724.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite602.0ms

Algorithm

rewrite-expression-head

Rules

90×	`prod-diff`
87×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
80×	`sqrt-prod`
71×	`add-cube-cbrt`
50×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-cbrt-cube` `add-exp-log`
20×	`associate-*r/`
19×	`associate-r`
13×	`pow1`
12×	`frac-times` `flip3--` `flip--`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod` `associate-/l/`
7×	`flip3-+` `flip-+`
6×	`associate-*l/` `difference-of-squares`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `-commutative`
2×	`distribute-lft-out` `unswap-sqr`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 223

Calls

4 calls:

341.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) (- 1.0 m))
79.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
37.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
125.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series1.1s

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) (- 1.0 m))
469.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
82.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
342.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

simplify2.2s

Counts

235 → 235

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	460	151075
1	1452	129130
done	5000	116964

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.0b	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
0.4b	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
27×	`add-cube-cbrt`
18×	`prod-diff`
15×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r` `associate-l*` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `flip3--` `associate-*r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

27.0ms	(/ (- 1.0 m) v)
27.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
0.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

series180.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (- 1.0 m) v)
73.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
49.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

simplify1.7s

Counts

105 → 105

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	181	42446
1	409	35367
2	1749	30045
done	5002	29965

prune570.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (* m (- 1.0 m)) v)) (cbrt (/ (* m (- 1.0 m)) v)))
0.6b	(cbrt (/ (* m (- 1.0 m)) v))
0.6b	(cbrt (/ (* m (- 1.0 m)) v))
0.6b	(cbrt (/ (* m (- 1.0 m)) v))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`times-frac`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

16.0ms	(* (cbrt (/ (* m (- 1.0 m)) v)) (cbrt (/ (* m (- 1.0 m)) v)))
5.0ms	(cbrt (/ (* m (- 1.0 m)) v))
6.0ms	(cbrt (/ (* m (- 1.0 m)) v))
5.0ms	(cbrt (/ (* m (- 1.0 m)) v))

series620.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (/ (* m (- 1.0 m)) v)) (cbrt (/ (* m (- 1.0 m)) v)))
163.0ms	(cbrt (/ (* m (- 1.0 m)) v))
146.0ms	(cbrt (/ (* m (- 1.0 m)) v))
156.0ms	(cbrt (/ (* m (- 1.0 m)) v))

simplify1.9s

Counts

123 → 123

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	171	46838
1	374	43122
2	1248	42632
done	5000	41357

prune829.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	403
1	17	403
done	17	403

end0.0ms

sample1.5s

Algorithm

intervals

Results

640.0ms	13750×	body	80	valid
523.0ms	13750×	pre	80	true