Details

sample100.0ms

Algorithm

intervals

Results

16.0ms

261×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.7b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite76.0ms

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:

43.0ms	(* (+ t1 u) (+ t1 u))
25.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (+ t1 u) (+ t1 u))
152.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.8s

Counts

80 → 80

Iterations

Useful iterations: done (1.8s)

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

prune189.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
1.2b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite181.0ms

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:

11.0ms	(/ v (+ t1 u))
27.0ms	(/ (- t1) (+ t1 u))
133.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series313.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ v (+ t1 u))
69.0ms	(/ (- t1) (+ t1 u))
193.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.7s

Counts

207 → 207

Iterations

Useful iterations: 2 (440.0ms)

Iter	Nodes	Cost
0	219	2553
1	588	2436
2	1853	2282
done	5000	2282

prune617.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ t1 u))
0.6b	(cbrt (+ t1 u))
0.6b	(cbrt (+ t1 u))
0.8b	(* (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt (- t1)) (cbrt (+ t1 u))) (/ v (+ t1 u))))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-exp-log`
74×	`add-cbrt-cube`
65×	`prod-exp` `cbrt-unprod`
40×	`cbrt-undiv` `div-exp`
18×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`associate-l`
12×	`cbrt-prod`
9×	`pow1` `frac-times` `flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `associate-/r/`
7×	`associate-*r/`
5×	`associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `distribute-lft-out`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 131

Calls

4 calls:

4.0ms	(cbrt (+ t1 u))
5.0ms	(cbrt (+ t1 u))
8.0ms	(cbrt (+ t1 u))
268.0ms	(* (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt (- t1)) (cbrt (+ t1 u))) (/ v (+ t1 u))))

series830.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (+ t1 u))
183.0ms	(cbrt (+ t1 u))
181.0ms	(cbrt (+ t1 u))
291.0ms	(* (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt (- t1)) (cbrt (+ t1 u))) (/ v (+ t1 u))))

simplify2.5s

Counts

143 → 143

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	207	4342
1	626	4091
2	3036	2214
done	5000	1693

prune457.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.8b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.2b	(* (/ (- t1) (+ t1 u)) v)

rewrite146.0ms

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:

31.0ms	(/ (- t1) (+ t1 u))
35.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
64.0ms	(* (/ (- t1) (+ t1 u)) v)

series372.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (- t1) (+ t1 u))
184.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
115.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.6s

Counts

180 → 180

Iterations

Useful iterations: 2 (310.0ms)

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

prune467.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	32
1	17	32
done	17	32

end0.0ms

sample678.0ms

Algorithm

intervals

Results

315.0ms

8258×

body

valid