Details

sample181.0ms

Algorithm

intervals

Results

27.0ms	436×	body	80	valid
12.0ms	436×	pre	80	true

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1103
4	344
3	105
2	38
1	16
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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))

rewrite338.0ms

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:

43.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
240.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series249.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* m (- 1.0 m))
68.0ms	(/ (* m (- 1.0 m)) v)
87.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify3.0s

Counts

134 → 134

Iterations

Iter	Nodes
done	5003
2	1920
1	585
0	223

prune795.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 184

Calls

4 calls:

112.0ms	(* (* (- 1.0 m) (+ m 1.0)) m)
125.0ms	(/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v)
712.0ms	(* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m))
210.0ms	(/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m))

series439.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (* (- 1.0 m) (+ m 1.0)) m)
71.0ms	(/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v)
77.0ms	(* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m))
89.0ms	(/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m))

simplify4.7s

Counts

196 → 196

Iterations

Iter	Nodes
done	5000
2	4413
1	983
0	333

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite702.0ms

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:

26.0ms	(/ v (- 1.0 m))
38.0ms	(/ m (/ v (- 1.0 m)))
614.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series224.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ v (- 1.0 m))
82.0ms	(/ m (/ v (- 1.0 m)))
75.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify4.0s

Counts

208 → 208

Iterations

Iter	Nodes
done	5005
2	3466
1	904
0	345

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize139.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m))))
0.3b	(cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m)))
0.3b	(cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m)))
0.3b	(cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m)))

rewrite943.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 170

Calls

4 calls:

379.0ms	(* (cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m))))
186.0ms	(cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m)))
180.0ms	(cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m)))
169.0ms	(cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m)))

series1.1s

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m))))
263.0ms	(cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m)))
273.0ms	(cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m)))
273.0ms	(cbrt (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m)))

simplify4.1s

Counts

182 → 182

Iterations

Iter	Nodes
done	5001
2	1659
1	610
0	318

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

942.0ms	13792×	body	80	valid
614.0ms	13792×	pre	80	true