Details

sample110.0ms

Algorithm

intervals

Results

15.0ms

273×

body

valid

simplify748.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	1226
9	555
8	476
7	436
6	412
5	356
4	239
3	132
2	65
1	25
0	8

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- v) (+ u t1))
0.0b	(/ t1 (+ u t1))
1.7b	(* (/ (- v) (+ u t1)) (/ t1 (+ u t1)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`clear-num` `frac-2neg` `distribute-frac-neg`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

22.0ms	(/ (- v) (+ u t1))
12.0ms	(/ t1 (+ u t1))
61.0ms	(* (/ (- v) (+ u t1)) (/ t1 (+ u t1)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (- v) (+ u t1))
47.0ms	(/ t1 (+ u t1))
94.0ms	(* (/ (- v) (+ u t1)) (/ t1 (+ u t1)))

simplify1.6s

Counts

201 → 201

Iterations

Iter	Nodes
done	5000
2	3634
1	645
0	212

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t1 (+ t1 u))
0.6b	(/ (* (- v) (/ t1 (+ t1 u))) (+ t1 u))
2.8b	(* (- v) (/ t1 (+ t1 u)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`neg-mul-1` `pow-prod-down` `distribute-frac-neg` `*-commutative` `associate-/l/`

Counts

3 → 107

Calls

3 calls:

9.0ms	(/ t1 (+ t1 u))
29.0ms	(/ (* (- v) (/ t1 (+ t1 u))) (+ t1 u))
26.0ms	(* (- v) (/ t1 (+ t1 u)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ t1 (+ t1 u))
87.0ms	(/ (* (- v) (/ t1 (+ t1 u))) (+ t1 u))
55.0ms	(* (- v) (/ t1 (+ t1 u)))

simplify1.3s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	2662
1	407
0	135

prune631.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- v) (+ u t1))
0.0b	(/ 1 (+ t1 u))
0.2b	(* t1 (/ 1 (+ t1 u)))
1.7b	(* (/ (- v) (+ u t1)) (* t1 (/ 1 (+ t1 u))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
106×	`times-frac`
78×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
54×	`add-exp-log`
49×	`associate-l`
34×	`add-cbrt-cube`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
19×	`associate-r`
14×	`div-exp`
13×	`associate-/l*`
12×	`pow1` `cbrt-unprod`
9×	`neg-mul-1`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
5×	`associate-*r/`
4×	`rec-exp` `flip3-+` `1-exp` `pow-prod-down` `flip-+` `div-inv` `add-log-exp`
3×	`un-div-inv` `unswap-sqr`
2×	`frac-times` `clear-num` `frac-2neg` `distribute-frac-neg` `*-commutative`
1×	`distribute-lft-neg-out` `neg-sub0` `div-sub` `associate-*l/` `pow-flip` `inv-pow`

Counts

4 → 227

Calls

4 calls:

11.0ms	(/ (- v) (+ u t1))
9.0ms	(/ 1 (+ t1 u))
30.0ms	(* t1 (/ 1 (+ t1 u)))
112.0ms	(* (/ (- v) (+ u t1)) (* t1 (/ 1 (+ t1 u))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (- v) (+ u t1))
52.0ms	(/ 1 (+ t1 u))
56.0ms	(* t1 (/ 1 (+ t1 u)))
87.0ms	(* (/ (- v) (+ u t1)) (* t1 (/ 1 (+ t1 u))))

simplify1.7s

Counts

239 → 239

Iterations

Iter	Nodes
done	5001
2	4083
1	757
0	253

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ u t1))
0.6b	(/ (* (/ v (+ u t1)) t1) (+ u t1))
9.5b	(* (/ v (+ u t1)) t1)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
29×	`times-frac`
28×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`flip3-+` `associate-r` `flip-+` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 98

Calls

3 calls:

12.0ms	(/ v (+ u t1))
44.0ms	(/ (* (/ v (+ u t1)) t1) (+ u t1))
40.0ms	(* (/ v (+ u t1)) t1)

series159.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ v (+ u t1))
69.0ms	(/ (* (/ v (+ u t1)) t1) (+ u t1))
40.0ms	(* (/ v (+ u t1)) t1)

simplify1.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2003
1	340
0	129

prune521.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes221.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.8s

Iterations

Iter	Nodes
done	5001
13	4231
12	2175
11	1143
10	623
9	359
8	223
7	151
6	111
5	83
4	49
3	31
2	24
1	17
0	10

end0.0ms

sample831.0ms

Algorithm

intervals

Results

561.0ms

8265×

body

valid