Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

328×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3848
6	1000
5	476
4	254
3	110
2	46
1	22
0	12

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- 0.75 (/ (- z x) y)) 4.0) 1.0)
0.0b	(/ (- z x) y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

22.0ms	(+ (* (- 0.75 (/ (- z x) y)) 4.0) 1.0)
23.0ms	(/ (- z x) y)

series77.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* (- 0.75 (/ (- z x) y)) 4.0) 1.0)
37.0ms	(/ (- z x) y)

simplify2.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	4766
2	846
1	260
0	104

prune289.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ 1 (/ x y)) (/ z y))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `sum-log` `sub-neg` `flip3-+` `times-frac` `flip3--` `add-cbrt-cube` `associate--l+` `add-exp-log` `add-cube-cbrt` `flip-+` `flip--` `distribute-lft-out`

Counts

1 → 20

Calls

1 calls:

111.0ms

(- (+ 1 (/ x y)) (/ z y))

series19.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(- (+ 1 (/ x y)) (/ z y))

simplify478.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
2	756
1	178
0	64

prune95.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b	(- (+ x (* y 0.75)) z)
0.0b	(+ x (* y 0.75))
0.1b	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

13.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
24.0ms	(- (+ x (* y 0.75)) z)
8.0ms	(+ x (* y 0.75))
47.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series167.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
33.0ms	(- (+ x (* y 0.75)) z)
40.0ms	(+ x (* y 0.75))
63.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify1.0s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1739
1	365
0	129

prune254.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (/ x y) 1))
0.1b	(* (+ (sqrt (/ z y)) (sqrt (+ (/ x y) 1))) (- (sqrt (+ (/ x y) 1)) (sqrt (/ z y))))
10.7b	(sqrt (/ z y))
10.7b	(sqrt (/ z y))

rewrite941.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
44×	`add-sqr-sqrt` `sqrt-div`
37×	`*-un-lft-identity`
22×	`times-frac`
21×	`add-cube-cbrt`
16×	`frac-times` `flip3-+` `flip-+`
12×	`associate-r`
10×	`frac-add` `frac-sub`
9×	`pow1`
6×	`add-cbrt-cube` `associate-l` `add-exp-log` `distribute-lft-out` `difference-of-squares`
5×	`rem-sqrt-square` `flip3--` `flip--`
4×	`associate-l/` `associate-r/` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `distribute-lft-out--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-inv`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

28.0ms	(sqrt (+ (/ x y) 1))
897.0ms	(* (+ (sqrt (/ z y)) (sqrt (+ (/ x y) 1))) (- (sqrt (+ (/ x y) 1)) (sqrt (/ z y))))
3.0ms	(sqrt (/ z y))
3.0ms	(sqrt (/ z y))

series402.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt (+ (/ x y) 1))
198.0ms	(* (+ (sqrt (/ z y)) (sqrt (+ (/ x y) 1))) (- (sqrt (+ (/ x y) 1)) (sqrt (/ z y))))
63.0ms	(sqrt (/ z y))
66.0ms	(sqrt (/ z y))

simplify1.7s

Counts

136 → 136

Iterations

Iter	Nodes
done	5002
2	3349
1	610
0	234

prune804.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes315.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

817.0ms

10068×

body

valid