Details

sample134.0ms

Algorithm

intervals

Results

22.0ms

266×

body

valid

simplify5.4s

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	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: 18.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.6b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite138.0ms

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:

71.0ms	(* (+ t1 u) (+ t1 u))
59.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ t1 u) (+ t1 u))
131.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: done (1.5s)

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

prune199.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
1.6b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite146.0ms

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))
15.0ms	(/ (- t1) (+ t1 u))
87.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ v (+ t1 u))
73.0ms	(/ (- t1) (+ t1 u))
155.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.7s

Counts

207 → 207

Iterations

Useful iterations: 2 (464.0ms)

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

prune628.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(log1p (expm1 (/ (- t1) (+ t1 u))))
0.0b	(/ (- t1) (+ t1 u))
1.6b	(* (log1p (expm1 (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
65×	`times-frac`
53×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
18×	`associate-r` `distribute-lft-out`
15×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`associate-/r*`
6×	`pow1` `associate-/r/`
5×	`neg-mul-1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3-+` `div-exp` `associate-l` `flip-+` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`neg-sub0` `log1p-udef` `div-sub` `log1p-expm1` `associate-r/` `distribute-frac-neg` `pow-prod-down` `-commutative`

Counts

4 → 157

Calls

4 calls:

23.0ms	(/ v (+ t1 u))
1.0ms	(log1p (expm1 (/ (- t1) (+ t1 u))))
33.0ms	(/ (- t1) (+ t1 u))
30.0ms	(* (log1p (expm1 (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))

series596.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ v (+ t1 u))
166.0ms	(log1p (expm1 (/ (- t1) (+ t1 u))))
79.0ms	(/ (- t1) (+ t1 u))
320.0ms	(* (log1p (expm1 (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))

simplify1.6s

Counts

169 → 169

Iterations

Useful iterations: 2 (244.0ms)

Iter	Nodes	Cost
0	192	2023
1	389	1804
2	1283	1680
done	5000	1680

prune618.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.6b	(/ (* v (/ (- t1) (+ t1 u))) (+ t1 u))
2.5b	(* v (/ (- t1) (+ t1 u)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
85×	`times-frac`
60×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
46×	`associate-r`
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-l` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `distribute-rgt-neg-out` `unswap-sqr`
1×	`neg-sub0` `div-sub` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 171

Calls

3 calls:

27.0ms	(/ (- t1) (+ t1 u))
26.0ms	(/ (* v (/ (- t1) (+ t1 u))) (+ t1 u))
77.0ms	(* v (/ (- t1) (+ t1 u)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- t1) (+ t1 u))
89.0ms	(/ (* v (/ (- t1) (+ t1 u))) (+ t1 u))
64.0ms	(* v (/ (- t1) (+ t1 u)))

simplify1.7s

Counts

180 → 180

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	197	2085
1	465	1939
2	1481	1773
done	5001	1769

prune501.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 3 (4.0ms)

Iter	Nodes	Cost
0	12	16
1	19	16
2	23	16
3	27	15
done	27	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

986.0ms

8272×

body

valid