Details

sample103.0ms

Algorithm

intervals

Results

18.0ms

267×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	1417
9	670
8	579
7	535
6	492
5	411
4	271
3	144
2	67
1	25
0	8

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.8b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-cbrt-cube` `add-exp-log`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`swap-sqr` `add-cube-cbrt` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `associate-l/` `associate-r/`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `pow-prod-down` `distribute-frac-neg` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

50.0ms	(* (+ t1 u) (+ t1 u))
22.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series176.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (+ t1 u) (+ t1 u))
143.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	3391
1	430
0	116

prune306.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.6b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
3.8b	(* (/ (- t1) (+ t1 u)) v)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
85×	`times-frac`
60×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
46×	`associate-l`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
23×	`distribute-lft-out`
19×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `distribute-frac-neg` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`neg-sub0` `div-sub` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 171

Calls

3 calls:

13.0ms	(/ (- t1) (+ t1 u))
22.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
52.0ms	(* (/ (- t1) (+ t1 u)) v)

series346.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (- t1) (+ t1 u))
162.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
119.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.3s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	2856
1	525
0	198

prune726.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.6b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
9.0b	(* (- t1) (/ v (+ t1 u)))

rewrite85.0ms

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` `expm1-log1p-u` `distribute-rgt-neg-in` `flip3-+` `flip-+` `log1p-expm1-u` `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 → 113

Calls

3 calls:

17.0ms	(/ v (+ t1 u))
31.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
31.0ms	(* (- t1) (/ v (+ t1 u)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ v (+ t1 u))
88.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
99.0ms	(* (- t1) (/ v (+ t1 u)))

simplify1.8s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	3169
1	413
0	142

prune584.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.1b	(* v (/ 1 (+ t1 u)))
0.6b	(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
9.0b	(* (- t1) (* v (/ 1 (+ t1 u))))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
46×	`*-un-lft-identity`
34×	`add-sqr-sqrt` `add-cbrt-cube`
30×	`times-frac`
27×	`add-cube-cbrt`
22×	`prod-exp`
19×	`associate-r`
14×	`div-exp`
13×	`associate-l`
12×	`pow1` `cbrt-unprod`
9×	`distribute-lft-out`
8×	`cbrt-undiv` `associate-/r*`
7×	`associate-*r/`
6×	`associate-/r/`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `pow-prod-down` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `un-div-inv` `flip-+` `div-inv` `unswap-sqr`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`neg-mul-1` `distribute-frac-neg` `pow-flip` `inv-pow`

Counts

4 → 152

Calls

4 calls:

18.0ms	(/ 1 (+ t1 u))
43.0ms	(* v (/ 1 (+ t1 u)))
59.0ms	(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
63.0ms	(* (- t1) (* v (/ 1 (+ t1 u))))

series323.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (+ t1 u))
43.0ms	(* v (/ 1 (+ t1 u)))
140.0ms	(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
101.0ms	(* (- t1) (* v (/ 1 (+ t1 u))))

simplify1.4s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	3355
1	493
0	173

prune632.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
3	21
2	18
1	12
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

880.0ms

8232×

body

valid