Details

sample121.0ms

Algorithm

intervals

Results

29.0ms	462×	body	80	valid
15.0ms	462×	pre	80	true

simplify9.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	70	11
4	183	11
5	363	11
6	533	11
7	613	11
8	732	11
9	1024	11
10	1463	11
11	2141	11
12	4183	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite227.0ms

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×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 95

Calls

3 calls:

25.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
153.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series245.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(* m (- 1.0 m))
73.0ms	(/ (* m (- 1.0 m)) v)
80.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.7s

Counts

104 → 104

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	177	1426
1	393	1223
2	1124	1038
done	5001	1001

prune315.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

rewrite533.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
116×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 169

Calls

3 calls:

23.0ms	(/ v (- 1.0 m))
26.0ms	(/ m (/ v (- 1.0 m)))
467.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series195.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ v (- 1.0 m))
76.0ms	(/ m (/ v (- 1.0 m)))
66.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify1.8s

Counts

178 → 178

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	277	2586
1	606	2420
2	2120	2311
done	5000	2293

prune557.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l`
5×	`associate-/l*`
3×	`expm1-log1p-u` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

3 → 102

Calls

3 calls:

24.0ms	(/ (- 1.0 m) v)
90.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
42.0ms	(* m (/ (- 1.0 m) v))

series168.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (- 1.0 m) v)
50.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
53.0ms	(* m (/ (- 1.0 m) v))

simplify3.6s

Counts

111 → 111

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	155	1254
1	375	1185
2	1086	1083
3	3673	1071
done	5000	1071

prune343.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.3b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 198

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
245.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
26.0ms	(/ (* m (- 1.0 m)) (sqrt v))
29.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series232.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* m (- 1.0 m))
50.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
70.0ms	(/ (* m (- 1.0 m)) (sqrt v))
59.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify1.9s

Counts

210 → 210

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	321	3588
1	769	2972
2	2080	2644
done	5000	2586

prune481.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
done	9	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

662.0ms	13729×	body	80	valid
410.0ms	13729×	pre	80	true