Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

264×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	67	12
3	144	12
4	230	12
5	288	12
6	339	12
7	378	12
8	422	12
9	507	12
10	686	12
11	1575	12
done	5001	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.8b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite63.0ms

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:

37.0ms	(* (+ t1 u) (+ t1 u))
23.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ t1 u) (+ t1 u))
82.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.0s

Counts

80 → 80

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	117	1120
1	374	1025
2	1783	869
done	5001	858

prune123.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
0.8b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite104.0ms

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:

14.0ms	(/ (- t1) (+ t1 u))
11.0ms	(/ v (+ t1 u))
69.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- t1) (+ t1 u))
26.0ms	(/ v (+ t1 u))
126.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.1s

Counts

207 → 207

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	219	2553
1	588	2436
2	1853	2282
done	5001	2282

prune392.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.5b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.0b	(* (/ (- 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-exp-log` `add-cbrt-cube`
11×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`distribute-frac-neg` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*l/` `clear-num` `unswap-sqr`
1×	`neg-sub0` `div-sub` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 171

Calls

3 calls:

14.0ms	(/ (- t1) (+ t1 u))
27.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
44.0ms	(* (/ (- t1) (+ t1 u)) v)

series252.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (- t1) (+ t1 u))
128.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
81.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.0s

Counts

180 → 180

Iterations

Useful iterations: 2 (252.0ms)

Iter	Nodes	Cost
0	198	2031
1	476	1942
2	1531	1782
done	5001	1782

prune354.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.0b	(/ v (+ t1 u))
0.2b	(* (- t1) (/ 1 (+ t1 u)))
0.8b	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 178

Calls

4 calls:

13.0ms	(/ 1 (+ t1 u))
12.0ms	(/ v (+ t1 u))
36.0ms	(* (- t1) (/ 1 (+ t1 u)))
70.0ms	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (+ t1 u))
27.0ms	(/ v (+ t1 u))
46.0ms	(* (- t1) (/ 1 (+ t1 u)))
126.0ms	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

simplify1.2s

Counts

190 → 190

Iterations

Useful iterations: 2 (312.0ms)

Iter	Nodes	Cost
0	197	2247
1	517	1873
2	1941	1603
done	5000	1603

prune316.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	25	14
3	31	14
4	33	14
done	33	14

end0.0ms

sample467.0ms

Algorithm

intervals

Results

207.0ms

8264×

body

valid