Details

sample50.0ms

Algorithm

intervals

Results

24.0ms

279×

body

valid

simplify331.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	17	9
2	25	9
3	49	9
4	76	9
5	108	9
6	133	9
7	148	9
8	161	9
9	166	9
done	166	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
1.1b	(* (/ (- x y) (- z y)) t)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

33.0ms	(/ (- x y) (- z y))
77.0ms	(* (/ (- x y) (- z y)) t)

series222.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(/ (- x y) (- z y))
142.0ms	(* (/ (- x y) (- z y)) t)

simplify2.5s

Counts

112 → 112

Iterations

Useful iterations: 2 (265.0ms)

Iter	Nodes	Cost
0	147	1339
1	369	1303
2	984	1219
3	2982	1219
done	5000	1219

prune424.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (/ (- x y) (- z y)) t)
6.1b	(cbrt (* (/ (- x y) (- z y)) t))
6.1b	(cbrt (* (/ (- x y) (- z y)) t))
6.1b	(cbrt (* (/ (- x y) (- z y)) t))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 88

Calls

4 calls:

56.0ms	(* (/ (- x y) (- z y)) t)
14.0ms	(cbrt (* (/ (- x y) (- z y)) t))
15.0ms	(cbrt (* (/ (- x y) (- z y)) t))
18.0ms	(cbrt (* (/ (- x y) (- z y)) t))

series1.6s

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (/ (- x y) (- z y)) t)
492.0ms	(cbrt (* (/ (- x y) (- z y)) t))
443.0ms	(cbrt (* (/ (- x y) (- z y)) t))
480.0ms	(cbrt (* (/ (- x y) (- z y)) t))

simplify2.5s

Counts

100 → 100

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	163	1374
1	383	1354
2	1029	1223
3	3515	1193
done	5001	1130

prune407.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
1.1b	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
18×	`add-cube-cbrt`
16×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `cbrt-prod`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `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` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

4 → 94

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)
103.0ms	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series1.6s

Counts

4 → 12

Calls

4 calls:

647.0ms	(cbrt t)
263.0ms	(cbrt t)
319.0ms	(cbrt t)
335.0ms	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify3.2s

Counts

106 → 106

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	124	1118
1	329	1095
2	993	869
3	4450	860
done	5000	860

prune329.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
7.1b	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`prod-exp` `add-cbrt-cube`
18×	`cbrt-unprod`
17×	`div-exp`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `cbrt-undiv` `add-cube-cbrt`
7×	`associate-l`
6×	`cbrt-div` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `times-frac` `pow1/3` `pow-prod-down` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

5.0ms	(cbrt (- x y))
5.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
142.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series708.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (- x y))
205.0ms	(cbrt (- x y))
168.0ms	(cbrt (- x y))
118.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify2.1s

Counts

110 → 110

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	167	2025
1	404	1805
2	1353	1212
done	5000	1009

prune395.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes281.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample869.0ms

Algorithm

intervals

Results

413.0ms

8716×

body

valid