Details

sample43.0ms

Algorithm

intervals

Results

20.0ms

312×

body

valid

simplify80.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	58
7	58
6	55
5	52
4	46
3	39
2	29
1	16
0	10

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
3.0b	(* (/ x y) z)

rewrite117.0ms

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

Counts

3 → 117

Calls

3 calls:

28.0ms	(/ (+ x 4.0) y)
69.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
12.0ms	(* (/ x y) z)

series144.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (+ x 4.0) y)
70.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
34.0ms	(* (/ x y) z)

simplify1.7s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	1426
1	411
0	165

prune735.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ 4.0 y))
0.0b	(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
3.0b	(* (/ x y) z)

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
37×	`times-frac`
31×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
13×	`fma-def` `associate-l`
12×	`distribute-lft-out`
10×	`add-log-exp`
8×	`add-cbrt-cube` `fma-neg` `prod-diff` `add-exp-log` `div-inv`
5×	`pow1`
4×	`associate-*l/`
3×	`expm1-log1p-u` `distribute-rgt-out` `associate-r` `frac-sub` `log1p-expm1-u`
2×	`sum-log` `flip3-+` `diff-log` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--`

Counts

3 → 101

Calls

3 calls:

21.0ms	(+ (/ x y) (/ 4.0 y))
280.0ms	(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
17.0ms	(* (/ x y) z)

series175.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (/ x y) (/ 4.0 y))
83.0ms	(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
37.0ms	(* (/ x y) z)

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	1442
1	396
0	153

prune714.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `pow1`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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 x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
102.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series1.2s

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt x)
244.0ms	(cbrt x)
242.0ms	(cbrt x)
418.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify1.8s

Counts

102 → 102

Iterations

Iter	Nodes
done	5002
2	1891
1	389
0	125

prune555.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
5.3b	(* x (/ z y))

rewrite95.0ms

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-cbrt-cube` `add-exp-log` `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` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 117

Calls

3 calls:

16.0ms	(/ (+ x 4.0) y)
50.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
21.0ms	(* x (/ z y))

series137.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (+ x 4.0) y)
67.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
37.0ms	(* x (/ z y))

simplify1.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	1392
1	425
0	165

prune785.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample994.0ms

Algorithm

intervals

Results

643.0ms

10251×

body

valid