Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

307×

body

valid

simplify89.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	29	12
3	42	12
4	49	12
5	55	12
6	60	12
7	62	12
done	62	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0b	(* (/ x y) z)

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-l/` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 117

Calls

3 calls:

28.0ms	(/ (+ x 4.0) y)
119.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
25.0ms	(* (/ x y) z)

series135.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (+ x 4.0) y)
74.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
26.0ms	(* (/ x y) z)

simplify2.8s

Counts

126 → 126

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	165	1542
1	398	1481
2	1152	1348
3	3746	1275
done	5000	1256

prune399.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
99.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series925.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(cbrt y)
310.0ms	(cbrt y)
269.0ms	(cbrt y)
27.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify2.0s

Counts

102 → 102

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	124	1658
1	352	1592
2	1813	814
done	5000	535

prune382.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
5.7b	(* x (/ z y))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r/` `associate-l` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 117

Calls

3 calls:

33.0ms	(/ (+ x 4.0) y)
70.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
16.0ms	(* x (/ z y))

series154.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (+ x 4.0) y)
76.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
33.0ms	(* x (/ z y))

simplify2.3s

Counts

126 → 126

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	165	1558
1	405	1485
2	1139	1360
3	3570	1306
done	5000	1287

prune387.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
1.5b	(* x (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`times-frac` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
47.0ms	(* x (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

series852.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt z)
224.0ms	(cbrt z)
270.0ms	(cbrt z)
148.0ms	(* x (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

simplify1.5s

Counts

83 → 83

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	119	828
1	294	793
2	1085	595
done	5001	560

prune378.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	19	26
done	19	26

end0.0ms

sample1.3s

Algorithm

intervals

Results

938.0ms

10073×

body

valid