Details

sample49.0ms

Algorithm

intervals

Results

27.0ms

322×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
6	54
5	51
4	45
3	38
2	29
1	16
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
3.2b	(* (/ x y) z)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l/`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `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 → 79

Calls

3 calls:

79.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
36.0ms	(/ (+ x 4.0) y)
23.0ms	(* (/ x y) z)

series169.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
49.0ms	(/ (+ x 4.0) y)
43.0ms	(* (/ x y) z)

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1649
1	351
0	142

prune525.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
0.0b	(+ (/ x y) (/ 4.0 y))
3.2b	(* (/ x y) z)

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
13×	`associate-l` `add-cube-cbrt`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`associate-*l/` `distribute-lft-out`
3×	`associate-r` `frac-sub` `div-inv`
2×	`sum-log` `flip3-+` `diff-log` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--`

Counts

3 → 66

Calls

3 calls:

212.0ms	(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
27.0ms	(+ (/ x y) (/ 4.0 y))
15.0ms	(* (/ x y) z)

series138.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
44.0ms	(+ (/ x y) (/ 4.0 y))
29.0ms	(* (/ x y) z)

simplify1.7s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1710
1	344
0	132

prune440.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.9b	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
2.5b	(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
21×	`add-cbrt-cube`
18×	`add-sqr-sqrt` `pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`cbrt-prod` `pow-prod-down`
7×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-*l/`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
91.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
27.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt z)
223.0ms	(cbrt z)
59.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
122.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

simplify1.6s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	2021
1	358
0	124

prune560.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (/ x y) (/ 4.0 y)) (pow (/ x (/ y z)) 1))
0.0b	(+ (/ x y) (/ 4.0 y))
5.2b	(/ x (/ y z))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
60×	`*-un-lft-identity`
59×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
13×	`associate-/r*`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv`
5×	`distribute-lft-out` `difference-of-squares`
3×	`pow1` `cbrt-undiv` `unpow-prod-down` `div-exp` `associate-/l*`
2×	`sum-log` `diff-log` `distribute-lft-out--`
1×	`+-commutative` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `distribute-rgt-out` `flip3--` `frac-add` `associate--l+` `associate-/r/` `flip-+` `flip--` `sqr-pow`

Counts

3 → 108

Calls

3 calls:

193.0ms	(- (+ (/ x y) (/ 4.0 y)) (pow (/ x (/ y z)) 1))
19.0ms	(+ (/ x y) (/ 4.0 y))
8.0ms	(/ x (/ y z))

series115.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (+ (/ x y) (/ 4.0 y)) (pow (/ x (/ y z)) 1))
35.0ms	(+ (/ x y) (/ 4.0 y))
32.0ms	(/ x (/ y z))

simplify1.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	2583
1	583
0	227

prune657.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes220.0ms

Accuracy

75.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch85.0ms

Steps

Iters	Range		Point
5	2.89070824063355e-120	7.658913567002043e-120	6.465235870316558e-120
7	-20115983647.1179	-81829953.9245951	-16246640829.172636

simplify6.0ms

Iterations

Iter	Nodes
done	33
1	33
0	27

end0.0ms

sample873.0ms

Algorithm

intervals

Results

598.0ms

10040×

body

valid