Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

322×

body

valid

simplify253.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	28	7
4	39	7
5	44	7
6	49	7
7	58	7
8	75	7
9	91	7
10	102	7
11	104	7
12	108	7
13	109	7
done	109	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) z))
0.0b	(/ (- y x) z)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`fma-def` `associate-/r*`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 58

Calls

2 calls:

43.0ms	(+ x (/ (- y x) z))
27.0ms	(/ (- y x) z)

series75.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (/ (- y x) z))
42.0ms	(/ (- y x) z)

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: 2 (179.0ms)

Iter	Nodes	Cost
0	98	616
1	231	570
2	617	546
3	2187	546
done	5000	546

prune206.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ x (/ y z)) (/ x z))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
52×	`prod-diff`
48×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
37×	`times-frac`
15×	`distribute-lft-out`
6×	`add-log-exp`
4×	`fma-neg` `div-inv`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `log1p-expm1-u`

Counts

1 → 78

Calls

1 calls:

193.0ms

(- (+ x (/ y z)) (/ x z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(- (+ x (/ y z)) (/ x z))

simplify4.7s

Counts

81 → 81

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	177	2784
1	437	2486
2	1215	1764
3	4855	1311
done	5000	1311

prune137.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- y x)) (cbrt (- y x)))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

61.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
4.0ms	(cbrt (- y x))
9.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))

series1.2s

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
199.0ms	(cbrt (- y x))
259.0ms	(cbrt (- y x))
580.0ms	(cbrt (- y x))

simplify3.8s

Counts

121 → 121

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	135	1434
1	271	1320
2	648	1262
3	1420	1158
4	3910	1118
done	5000	1114

prune515.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
4.0b	(cbrt (/ (- y x) z))
4.0b	(cbrt (/ (- y x) z))
4.0b	(cbrt (/ (- y x) z))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

157×	`cbrt-prod`
141×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
123×	`times-frac`
75×	`add-cube-cbrt`
28×	`swap-sqr`
27×	`distribute-lft-out--`
22×	`associate-r` `associate-l`
21×	`difference-of-squares`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 194

Calls

4 calls:

93.0ms	(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
6.0ms	(cbrt (/ (- y x) z))
6.0ms	(cbrt (/ (- y x) z))
6.0ms	(cbrt (/ (- y x) z))

series869.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
210.0ms	(cbrt (/ (- y x) z))
226.0ms	(cbrt (/ (- y x) z))
179.0ms	(cbrt (/ (- y x) z))

simplify2.3s

Counts

206 → 206

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	236	3540
1	442	3333
2	1128	3233
3	2548	3071
done	5000	2987

prune786.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample896.0ms

Algorithm

intervals

Results

379.0ms

10010×

body

valid