Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

324×

body

valid

simplify138.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	28	7
4	38	7
5	47	7
6	52	7
7	61	7
8	78	7
9	97	7
10	108	7
11	110	7
12	114	7
13	117	7
done	117	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

8.0ms	(/ (- y x) z)
15.0ms	(+ x (/ (- y x) z))

series46.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- y x) z)
21.0ms	(+ x (/ (- y x) z))

simplify1.1s

Counts

64 → 64

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	98	616
1	232	570
2	572	546
3	1781	546
done	5000	544

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ 1 z)))
0.3b	(* (- y x) (/ 1 z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `times-frac`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`fma-def` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 60

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ 1 z)))
15.0ms	(* (- y x) (/ 1 z))

series50.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (* (- y x) (/ 1 z)))
26.0ms	(* (- y x) (/ 1 z))

simplify1.9s

Counts

66 → 66

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	121	716
1	306	554
2	849	486
3	3349	486
done	5000	486

prune126.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))

rewrite31.0ms

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:

20.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
3.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))

series553.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
140.0ms	(cbrt (- y x))
144.0ms	(cbrt (- y x))
146.0ms	(cbrt (- y x))

simplify2.5s

Counts

121 → 121

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	135	1434
1	271	1320
2	667	1262
3	1684	1158
4	4918	1118
done	5000	1118

prune370.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (+ y x))
4.2b	(- (* y y) (* x x))
25.0b	(cbrt (- (* y y) (* x x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
11×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`flip3--` `pow1/3` `flip--` `difference-of-squares`
1×	`sub-neg` `flip3-+` `fma-neg` `diff-log` `prod-diff` `flip-+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (- y x))
2.0ms	(cbrt (+ y x))
3.0ms	(- (* y y) (* x x))
2.0ms	(cbrt (- (* y y) (* x x)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (- y x))
136.0ms	(cbrt (+ y x))
44.0ms	(- (* y y) (* x x))
124.0ms	(cbrt (- (* y y) (* x x)))

simplify1.5s

Counts

78 → 78

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	160	849
1	351	807
2	956	736
3	3066	711
done	5000	710

prune283.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample389.0ms

Algorithm

intervals

Results

193.0ms

10061×

body

valid