Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

331×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
10	4396
9	979
8	302
7	116
6	82
5	64
4	51
3	32
2	18
1	11
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* y (- z x)))
10.8b	(/ (+ x (* y (- z x))) z)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

29.0ms	(* y (- z x))
9.0ms	(+ x (* y (- z x)))
28.0ms	(/ (+ x (* y (- z x))) z)

series155.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* y (- z x))
36.0ms	(+ x (* y (- z x)))
70.0ms	(/ (+ x (* y (- z x))) z)

simplify1.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	977
1	277
0	116

prune301.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ x z))
0.0b	(- (+ y (/ x z)) (/ (* x y) z))
6.8b	(/ (* x y) z)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

8.0ms	(+ y (/ x z))
76.0ms	(- (+ y (/ x z)) (/ (* x y) z))
12.0ms	(/ (* x y) z)

series72.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ y (/ x z))
30.0ms	(- (+ y (/ x z)) (/ (* x y) z))
22.0ms	(/ (* x y) z)

simplify1.0s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1216
1	265
0	100

prune315.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ x z))
0.0b	(- (+ y (/ x z)) (* x (/ y z)))
6.6b	(* x (/ y z))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

16.0ms	(+ y (/ x z))
127.0ms	(- (+ y (/ x z)) (* x (/ y z)))
16.0ms	(* x (/ y z))

series97.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ y (/ x z))
38.0ms	(- (+ y (/ x z)) (* x (/ y z)))
34.0ms	(* x (/ y z))

simplify976.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1274
1	327
0	120

prune294.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ x z))
0.0b	(- (+ y (/ x z)) (/ 1 (/ z (* x y))))
0.7b	(/ 1 (/ z (* x y)))
6.8b	(/ z (* x y))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

38×	`times-frac`
33×	`*-un-lft-identity`
30×	`add-exp-log`
29×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
18×	`add-cbrt-cube`
14×	`div-exp`
11×	`add-log-exp`
8×	`associate-/r*` `div-inv`
7×	`cbrt-undiv`
6×	`associate-/l*`
5×	`pow1`
4×	`prod-exp` `distribute-lft-out--`
3×	`rec-exp` `1-exp` `distribute-lft-out` `difference-of-squares`
2×	`clear-num` `sum-log` `frac-2neg` `flip3-+` `diff-log` `frac-sub` `cbrt-unprod` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `associate-/r/` `pow-flip` `flip--` `inv-pow`

Counts

4 → 112

Calls

4 calls:

14.0ms	(+ y (/ x z))
101.0ms	(- (+ y (/ x z)) (/ 1 (/ z (* x y))))
19.0ms	(/ 1 (/ z (* x y)))
10.0ms	(/ z (* x y))

series111.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ y (/ x z))
36.0ms	(- (+ y (/ x z)) (/ 1 (/ z (* x y))))
23.0ms	(/ 1 (/ z (* x y)))
28.0ms	(/ z (* x y))

simplify1.4s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	2314
1	460
0	175

prune540.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes205.0ms

Accuracy

94% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.5b

bsearch79.0ms

Steps

Iters	Range		Point
8	5.802277041091965e-91	3.6298427301839473e-87	3.580267717967572e-87
6	-7.164432560075927e-28	-4.598825314072417e-29	-6.042091540010479e-28

simplify6.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample1.4s

Algorithm

intervals

Results

488.0ms

10133×

body

valid