Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

259×

body

valid

simplify3.2s

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: 12.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
12.7b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite62.0ms

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:

34.0ms	(* (+ t1 u) (+ t1 u))
25.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ t1 u) (+ t1 u))
77.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify851.0ms

Counts

80 → 80

Iterations

Useful iterations: done (849.0ms)

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

prune125.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)))

rewrite101.0ms

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))
67.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (- t1) (+ t1 u))
26.0ms	(/ v (+ t1 u))
120.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.0s

Counts

207 → 207

Iterations

Useful iterations: 2 (267.0ms)

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

prune375.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt v)
0.6b	(cbrt v)
0.6b	(cbrt v)
3.0b	(* (* (cbrt v) (cbrt v)) (/ (- t1) (+ t1 u)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
46×	`associate-r`
41×	`times-frac`
33×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
16×	`add-exp-log`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
10×	`distribute-lft-out`
9×	`pow1` `cbrt-prod`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `neg-mul-1` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `unswap-sqr`
1×	`flip3-+` `associate-r/` `distribute-frac-neg` `associate-l` `-commutative` `distribute-rgt-neg-out` `flip-+` `div-inv`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt v)
1.0ms	(cbrt v)
1.0ms	(cbrt v)
57.0ms	(* (* (cbrt v) (cbrt v)) (/ (- t1) (+ t1 u)))

series677.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt v)
176.0ms	(cbrt v)
171.0ms	(cbrt v)
150.0ms	(* (* (cbrt v) (cbrt v)) (/ (- t1) (+ t1 u)))

simplify1.0s

Counts

122 → 122

Iterations

Useful iterations: done (998.0ms)

Iter	Nodes	Cost
0	155	1285
1	454	1195
2	1915	949
done	5000	940

prune280.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.9b	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
4.2b	(* (/ (- t1) (+ t1 u)) v)

rewrite146.0ms

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:

14.0ms	(/ (- t1) (+ t1 u))
12.0ms	(/ 1 (+ t1 u))
72.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
38.0ms	(* (/ (- t1) (+ t1 u)) v)

series278.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- t1) (+ t1 u))
38.0ms	(/ 1 (+ t1 u))
121.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
78.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.1s

Counts

245 → 245

Iterations

Useful iterations: 2 (360.0ms)

Iter	Nodes	Cost
0	249	2883
1	600	2582
2	2029	2312
done	5001	2312

prune409.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	16	19
2	20	19
3	31	19
4	37	19
5	38	19
done	38	19

end0.0ms

sample435.0ms

Algorithm

intervals

Results

205.0ms

8251×

body

valid