Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

259×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	65	12
3	132	12
4	198	12
5	238	12
6	274	12
7	294	12
8	334	12
9	407	12
10	528	12
11	1310	12
done	5000	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)))

rewrite58.0ms

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×	`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 → 70

Calls

2 calls:

35.0ms	(* (+ t1 u) (+ t1 u))
20.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ t1 u) (+ t1 u))
80.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify793.0ms

Counts

76 → 76

Iterations

Useful iterations: done (791.0ms)

Iter	Nodes	Cost
0	113	1078
1	365	990
2	1712	834
done	5000	831

prune118.0ms

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)))

rewrite97.0ms

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×	`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 → 192

Calls

3 calls:

13.0ms	(/ (- t1) (+ t1 u))
11.0ms	(/ v (+ t1 u))
65.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- t1) (+ t1 u))
31.0ms	(/ v (+ t1 u))
123.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.0s

Counts

201 → 201

Iterations

Useful iterations: 2 (269.0ms)

Iter	Nodes	Cost
0	213	2501
1	579	2385
2	1817	2231
done	5001	2231

prune347.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
67×	`times-frac`
62×	`cbrt-prod`
60×	`*-un-lft-identity`
48×	`associate-l`
42×	`add-cube-cbrt`
18×	`associate-r`
16×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`distribute-lft-out`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 129

Calls

4 calls:

1.0ms	(cbrt t1)
1.0ms	(cbrt t1)
1.0ms	(cbrt t1)
64.0ms	(* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

series813.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt t1)
312.0ms	(cbrt t1)
175.0ms	(cbrt t1)
157.0ms	(* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

simplify963.0ms

Counts

141 → 141

Iterations

Useful iterations: done (959.0ms)

Iter	Nodes	Cost
0	173	1864
1	488	1820
2	1520	1702
done	5000	1689

prune438.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

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)

rewrite140.0ms

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×	`rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-*l/` `flip-+` `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 → 225

Calls

4 calls:

15.0ms	(/ (- t1) (+ t1 u))
11.0ms	(/ 1 (+ t1 u))
66.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
38.0ms	(* (/ (- t1) (+ t1 u)) v)

series277.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (- t1) (+ t1 u))
33.0ms	(/ 1 (+ t1 u))
120.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
79.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.1s

Counts

237 → 237

Iterations

Useful iterations: 2 (346.0ms)

Iter	Nodes	Cost
0	241	2809
1	589	2513
2	2013	2243
done	5001	2243

prune411.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

46.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.2b

bsearch70.0ms

Steps

Iters	Range		Point
9	7.842374526345071e+251	2.587516522540669e+261	3.1480714445870398e+252
7	-4.773849894757972e+177	-2.9771394959919118e+175	-7.006044139584502e+175

simplify9.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	88
1	37	55
2	41	55
3	44	55
4	46	55
done	46	55

end0.0ms

sample438.0ms

Algorithm

intervals

Results

213.0ms

8251×

body

valid