Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

311×

body

valid

simplify4.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

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

Counts

3 → 79

Calls

3 calls:

19.0ms	(/ (+ x 4.0) y)
53.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
15.0ms	(* (/ x y) z)

series104.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (+ x 4.0) y)
50.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
25.0ms	(* (/ x y) z)

simplify34.0ms

Counts: 88 → 88

prune205.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
5.5b	(* x (/ z y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

19.0ms	(/ (+ x 4.0) y)
56.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
14.0ms	(* x (/ z y))

series105.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (+ x 4.0) y)
49.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
26.0ms	(* x (/ z y))

simplify40.0ms

Counts: 88 → 88

prune204.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
2.1b	(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
51.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

series691.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt y)
210.0ms	(cbrt y)
205.0ms	(cbrt y)
58.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

simplify52.0ms

Counts: 104 → 104

prune333.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (/ 1 y))
0.0b	(+ (* 4.0 (/ 1 y)) (/ x y))
0.0b	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
3.2b	(* (/ x y) z)

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

15.0ms	(* 4.0 (/ 1 y))
17.0ms	(+ (* 4.0 (/ 1 y)) (/ x y))
121.0ms	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
20.0ms	(* (/ x y) z)

series127.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 4.0 (/ 1 y))
31.0ms	(+ (* 4.0 (/ 1 y)) (/ x y))
54.0ms	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
24.0ms	(* (/ x y) z)

simplify51.0ms

Counts: 112 → 112

prune261.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample835.0ms

Algorithm

intervals

Results

514.0ms

10153×

body

valid