Details

sample130.0ms

Algorithm

intervals

Results

19.0ms

263×

body

valid

simplify1.8s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.0b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite101.0ms

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:

58.0ms	(* (+ t1 u) (+ t1 u))
39.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ t1 u) (+ t1 u))
93.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.2s

Counts

80 → 80

Iterations

Useful iterations: done (2.1s)

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

prune211.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
2.4b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite188.0ms

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:

22.0ms	(/ v (+ t1 u))
33.0ms	(/ (- t1) (+ t1 u))
115.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series290.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ v (+ t1 u))
75.0ms	(/ (- t1) (+ t1 u))
183.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.4s

Counts

207 → 207

Iterations

Useful iterations: 2 (568.0ms)

Iter	Nodes	Cost
0	219	2553
1	655	2446
2	3733	2290
done	5000	2290

prune650.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.6b	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
3.2b	(* (/ (- t1) (+ t1 u)) v)

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
93×	`times-frac`
66×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
49×	`add-exp-log`
47×	`associate-l`
31×	`add-cbrt-cube`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`distribute-lft-out`
22×	`prod-exp`
21×	`associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1` `associate-/l*`
9×	`neg-mul-1`
7×	`cbrt-undiv`
6×	`associate-/r/`
4×	`pow-prod-down` `associate-l/` `associate-/r`
3×	`distribute-lft-neg-out` `expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `distribute-frac-neg` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`neg-sub0` `frac-times` `frac-2neg` `div-sub` `associate-*r/` `clear-num` `un-div-inv`

Counts

3 → 194

Calls

3 calls:

19.0ms	(/ (- t1) (+ t1 u))
114.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
68.0ms	(* (/ (- t1) (+ t1 u)) v)

series345.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (- t1) (+ t1 u))
151.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
127.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify3.4s

Counts

203 → 203

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	237	2534
1	684	2362
2	4017	2067
done	5001	2063

prune527.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.5b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
9.2b	(* (- t1) (/ v (+ t1 u)))

rewrite123.0ms

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:

16.0ms	(/ v (+ t1 u))
27.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
73.0ms	(* (- t1) (/ v (+ t1 u)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ v (+ t1 u))
95.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
70.0ms	(* (- t1) (/ v (+ t1 u)))

simplify2.6s

Counts

122 → 122

Iterations

Useful iterations: done (2.6s)

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

prune404.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify20.0ms

Iterations

Useful iterations: 5 (16.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	21	14
3	32	14
4	42	14
5	46	13
done	46	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

977.0ms

8248×

body

valid