Details

sample138.0ms

Algorithm

intervals

Results

11.0ms

264×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	67	12
3	144	12
4	276	12
5	431	12
6	514	12
7	557	12
8	601	12
9	692	12
10	1431	12
done	5000	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.4b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

76.0ms	(* (+ t1 u) (+ t1 u))
35.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (+ t1 u) (+ t1 u))
136.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.3s

Counts

80 → 80

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	117	1120
1	438	1029
2	3364	869
done	5000	858

prune208.0ms

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

rewrite147.0ms

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-exp-log` `add-cbrt-cube`
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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 198

Calls

3 calls:

27.0ms	(/ (- t1) (+ t1 u))
21.0ms	(/ v (+ t1 u))
90.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series309.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (- t1) (+ t1 u))
50.0ms	(/ v (+ t1 u))
183.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.4s

Counts

207 → 207

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	219	2553
1	655	2446
2	3711	2296
done	5001	2290

prune671.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.4b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
9.0b	(* (- t1) (/ v (+ t1 u)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
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` `frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`neg-mul-1` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 113

Calls

3 calls:

22.0ms	(/ v (+ t1 u))
48.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
74.0ms	(* (- t1) (/ v (+ t1 u)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ v (+ t1 u))
95.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
63.0ms	(* (- t1) (/ v (+ t1 u)))

simplify2.5s

Counts

122 → 122

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	142	1368
1	413	1300
2	3177	1160
done	5001	1146

prune378.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
0.5b	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
2.3b	(* (/ (- t1) (+ t1 u)) v)

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
105×	`times-frac`
76×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
54×	`add-exp-log`
47×	`associate-l`
34×	`add-cbrt-cube`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
21×	`associate-r`
14×	`div-exp`
13×	`associate-/l*`
12×	`pow1` `cbrt-unprod`
9×	`neg-mul-1`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
4×	`expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-*l/` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-frac-neg`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`neg-sub0` `frac-times` `pow-flip` `div-sub` `associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 233

Calls

4 calls:

25.0ms	(/ 1 (+ t1 u))
19.0ms	(/ (- t1) (+ t1 u))
123.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
61.0ms	(* (/ (- t1) (+ t1 u)) v)

series372.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ 1 (+ t1 u))
56.0ms	(/ (- t1) (+ t1 u))
162.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
99.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify4.1s

Counts

245 → 245

Iterations

Useful iterations: 2 (818.0ms)

Iter	Nodes	Cost
0	249	2883
1	698	2647
2	4586	2318
done	5001	2318

prune610.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

8252×

body

valid