Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

275×

body

valid

simplify156.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	169
10	169
9	166
8	162
7	146
6	120
5	98
4	72
3	47
2	25
1	17
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite101.0ms

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-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 106

Calls

2 calls:

21.0ms	(/ (- x y) (- z y))
76.0ms	(* (/ (- x y) (- z y)) t)

series196.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (- x y) (- z y))
131.0ms	(* (/ (- x y) (- z y)) t)

simplify2.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
3	3947
2	1108
1	381
0	147

prune920.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))

series765.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (- z y))
174.0ms	(cbrt (- x y))
219.0ms	(cbrt (- x y))
190.0ms	(cbrt (- x y))

simplify2.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	2872
3	1112
2	500
1	243
0	118

prune649.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite591.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
725×	`add-sqr-sqrt`
711×	`times-frac`
441×	`prod-diff`
417×	`add-cube-cbrt`
161×	`distribute-lft-out--`
149×	`difference-of-squares`
98×	`associate-/r/`
51×	`flip3--` `flip--`
49×	`div-inv`
21×	`fma-neg`
18×	`associate-l`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
6×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`associate-r`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `frac-sub` `sub-div`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 610

Calls

4 calls:

169.0ms	(- (/ x (- z y)) (/ y (- z y)))
18.0ms	(/ y (- z y))
16.0ms	(/ x (- z y))
339.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series401.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (/ x (- z y)) (/ y (- z y)))
58.0ms	(/ y (- z y))
36.0ms	(/ x (- z y))
206.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify2.4s

Counts

622 → 622

Iterations

Iter	Nodes
done	5000
2	3250
1	1335
0	593

prune3.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
1.1b	(* (- (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ x (cbrt (- z y)))) (/ y (- z y))) t)

rewrite507.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

6.0ms	(cbrt (- z y))
6.0ms	(cbrt (- z y))
6.0ms	(cbrt (- z y))
486.0ms	(* (- (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ x (cbrt (- z y)))) (/ y (- z y))) t)

series921.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (- z y))
190.0ms	(cbrt (- z y))
220.0ms	(cbrt (- z y))
272.0ms	(* (- (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ x (cbrt (- z y)))) (/ y (- z y))) t)

simplify3.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	4460
2	995
1	325
0	136

prune672.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes369.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample875.0ms

Algorithm

intervals

Results

502.0ms

8750×

body

valid