Details

sample66.0ms

Algorithm

intervals

Results

31.0ms

313×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 8 (1.6s)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	17
3	95	17
4	154	17
5	224	17
6	349	17
7	755	17
8	2611	15
done	5000	15

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
4×	`associate-/l/`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-*l/` `frac-add`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

80.0ms

(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

simplify1.5s

Counts

34 → 34

Iterations

Useful iterations: 3 (435.0ms)

Iter	Nodes	Cost
0	78	616
1	188	595
2	534	545
3	1745	543
done	5001	543

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

320.0ms	(* (cbrt t) (cbrt t))
290.0ms	(cbrt t)
254.0ms	(cbrt t)
318.0ms	(cbrt t)

simplify5.9s

Counts

85 → 85

Iterations

Useful iterations: done (5.9s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune416.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)) (cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)))
0.7b	(cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t))
0.7b	(cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t))
0.7b	(cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

187.0ms	(* (cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)) (cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)))
18.0ms	(cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t))
19.0ms	(cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t))
23.0ms	(cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t))

series1.2s

Counts

4 → 12

Calls

4 calls:

340.0ms	(* (cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)) (cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)))
288.0ms	(cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t))
302.0ms	(cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t))
278.0ms	(cbrt (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t))

simplify3.3s

Counts

156 → 156

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	218	4635
1	435	4422
2	1264	4166
3	3788	3861
done	5000	3821

prune952.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 1.0 t) z)
0.1b	(* t (* (+ 1.0 t) z))
3.8b	(* (* (- (* 1.0 1.0) (* t t)) 2.0) z)
17.8b	(/ (+ (* (* (- (* 1.0 1.0) (* t t)) 2.0) z) (* (+ 1.0 t) 2.0)) (* t (* (+ 1.0 t) z)))

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
22×	`associate-*l/`
16×	`pow1`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
8×	`associate-l`
7×	`associate-r` `pow-prod-down`
6×	`flip3-+` `flip-+` `associate-/l/`
4×	`associate-*r/` `frac-add` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `times-frac` `div-exp` `-commutative` `flip--` `associate-/l`
2×	`associate-/r/`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

34.0ms	(* (+ 1.0 t) z)
38.0ms	(* t (* (+ 1.0 t) z))
68.0ms	(* (* (- (* 1.0 1.0) (* t t)) 2.0) z)
194.0ms	(/ (+ (* (* (- (* 1.0 1.0) (* t t)) 2.0) z) (* (+ 1.0 t) 2.0)) (* t (* (+ 1.0 t) z)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ 1.0 t) z)
53.0ms	(* t (* (+ 1.0 t) z))
67.0ms	(* (* (- (* 1.0 1.0) (* t t)) 2.0) z)
153.0ms	(/ (+ (* (* (- (* 1.0 1.0) (* t t)) 2.0) z) (* (+ 1.0 t) 2.0)) (* t (* (+ 1.0 t) z)))

simplify2.3s

Counts

104 → 104

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	176	1950
1	529	1881
2	2514	1535
done	5001	1531

prune399.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes194.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	16	15
done	16	15

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

10397×

body

valid