Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

336×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	24	9
3	52	9
4	83	9
5	107	9
6	129	9
7	152	9
8	216	9
9	410	9
10	894	9
11	1288	9
12	2015	9
13	2720	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.4b	(* (- y x) (/ z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ z t)))
20.0ms	(* (- y x) (/ z t))

series78.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (* (- y x) (/ z t)))
42.0ms	(* (- y x) (/ z t))

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 3 (840.0ms)

Iter	Nodes	Cost
0	115	669
1	297	627
2	1062	581
3	4833	557
done	5000	557

prune130.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.0b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
0.0ms	(cbrt z)
28.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series639.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt z)
173.0ms	(cbrt z)
171.0ms	(cbrt z)
122.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify685.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	144	1045
1	388	974
2	1495	731
done	5000	731

prune279.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
4.6b	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `associate-*l/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `flip--`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
0.0ms	(cbrt z)
49.0ms	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

series610.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt z)
184.0ms	(cbrt z)
172.0ms	(cbrt z)
73.0ms	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

simplify664.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (181.0ms)

Iter	Nodes	Cost
0	144	1219
1	433	1161
2	1892	841
done	5000	841

prune280.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

6.4b	(* (- y x) (/ (pow (cbrt z) 3) t))
6.5b	(cbrt (* (- y x) (/ (pow (cbrt z) 3) t)))
6.5b	(cbrt (* (- y x) (/ (pow (cbrt z) 3) t)))
6.5b	(cbrt (* (- y x) (/ (pow (cbrt z) 3) t)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt` `times-frac`
58×	`associate-r`
41×	`*-un-lft-identity`
39×	`add-cube-cbrt`
23×	`cbrt-prod`
20×	`unpow-prod-down` `cube-prod`
15×	`cbrt-div`
14×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
7×	`unswap-sqr`
6×	`pow1`
5×	`associate-l`
4×	`associate-*r/` `prod-exp` `add-log-exp` `sqr-pow`
3×	`cube-mult` `pow1/3` `unpow3` `div-exp`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 132

Calls

4 calls:

38.0ms	(* (- y x) (/ (pow (cbrt z) 3) t))
9.0ms	(cbrt (* (- y x) (/ (pow (cbrt z) 3) t)))
9.0ms	(cbrt (* (- y x) (/ (pow (cbrt z) 3) t)))
9.0ms	(cbrt (* (- y x) (/ (pow (cbrt z) 3) t)))

series628.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (- y x) (/ (pow (cbrt z) 3) t))
183.0ms	(cbrt (* (- y x) (/ (pow (cbrt z) 3) t)))
185.0ms	(cbrt (* (- y x) (/ (pow (cbrt z) 3) t)))
186.0ms	(cbrt (* (- y x) (/ (pow (cbrt z) 3) t)))

simplify736.0ms

Counts

144 → 144

Iterations

Useful iterations: done (731.0ms)

Iter	Nodes	Cost
0	245	2335
1	605	1861
2	2274	1735
done	5001	1729

prune536.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	17	23
done	17	23

end0.0ms

sample531.0ms

Algorithm

intervals

Results

272.0ms

10586×

body

valid