Details

sample45.0ms

Algorithm

intervals

Results

29.0ms

319×

body

valid

simplify46.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	58
7	58
6	55
5	52
4	46
3	39
2	29
1	16
0	10

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
3.6b	(* (/ x y) z)

rewrite93.0ms

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/` `insert-posit16` `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 → 120

Calls

3 calls:

26.0ms	(/ (+ x 4) y)
55.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
10.0ms	(* (/ x y) z)

series101.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (+ x 4) y)
48.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
24.0ms	(* (/ x y) z)

simplify4.0s

Counts

129 → 129

Iterations

Iter	Nodes
3	4394
2	1304
1	414
0	168

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize44.0ms

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))

rewrite70.0ms

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` `insert-posit16` `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 → 94

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
66.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series750.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt x)
231.0ms	(cbrt x)
247.0ms	(cbrt x)
28.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify5.8s

Counts

106 → 106

Iterations

Iter	Nodes
3	11260
2	1886
1	389
0	127

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (+ x 4) (/ 1 y)) (* (/ x y) z))
0.1b	(* (+ x 4) (/ 1 y))
3.6b	(* (/ x y) z)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`times-frac`
19×	`add-cube-cbrt`
17×	`associate-l` `add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube` `associate-*l/`
7×	`pow1`
6×	`prod-exp` `frac-sub`
5×	`add-log-exp` `unswap-sqr`
4×	`frac-times` `flip3-+` `cbrt-unprod` `flip-+`
3×	`expm1-log1p-u` `div-exp` `associate-*r/` `un-div-inv` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `pow-prod-down` `*-commutative` `div-inv` `sub-div`
1×	`rec-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `1-exp` `prod-diff` `flip--` `distribute-lft-out`

Counts

3 → 104

Calls

3 calls:

24.0ms	(- (* (+ x 4) (/ 1 y)) (* (/ x y) z))
22.0ms	(* (+ x 4) (/ 1 y))
10.0ms	(* (/ x y) z)

series143.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (* (+ x 4) (/ 1 y)) (* (/ x y) z))
45.0ms	(* (+ x 4) (/ 1 y))
34.0ms	(* (/ x y) z)

simplify8.9s

Counts

113 → 113

Iterations

Iter	Nodes
3	6041
2	1888
1	554
0	204

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (/ x y) z)
10.5b	(cbrt (* (/ x y) z))
10.5b	(cbrt (* (/ x y) z))
10.5b	(cbrt (* (/ x y) z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 74

Calls

4 calls:

23.0ms	(* (/ x y) z)
5.0ms	(cbrt (* (/ x y) z))
5.0ms	(cbrt (* (/ x y) z))
5.0ms	(cbrt (* (/ x y) z))

series399.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (/ x y) z)
128.0ms	(cbrt (* (/ x y) z))
101.0ms	(cbrt (* (/ x y) z))
129.0ms	(cbrt (* (/ x y) z))

simplify3.3s

Counts

86 → 86

Iterations

Iter	Nodes
4	5523
3	1965
2	604
1	227
0	107

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	19
1	19
0	16

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.6s

10107×

body

valid