Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

293×

body

valid

simplify923.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
10.1b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

87.0ms	(* x (+ (/ x y) 1.0))
64.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series93.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ (/ x y) 1.0))
62.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify739.0ms

Counts: 56 → 56

prune138.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

45.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
44.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series131.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
74.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify885.0ms

Counts: 152 → 152

prune276.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.1b	(/ (+ (/ x y) 1.0) (sqrt (+ x 1.0)))
0.1b	(* (/ x (sqrt (+ x 1.0))) (/ (+ (/ x y) 1.0) (sqrt (+ x 1.0))))
0.1b	(/ x (sqrt (+ x 1.0)))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
110×	`times-frac`
100×	`add-sqr-sqrt`
74×	`sqrt-prod`
69×	`add-cube-cbrt`
34×	`associate-r`
32×	`distribute-lft-out`
27×	`associate-l`
20×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/r*`
10×	`sqrt-div`
9×	`unswap-sqr`
8×	`associate-/r/`
7×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 206

Calls

4 calls:

11.0ms	(sqrt (+ x 1.0))
77.0ms	(/ (+ (/ x y) 1.0) (sqrt (+ x 1.0)))
171.0ms	(* (/ x (sqrt (+ x 1.0))) (/ (+ (/ x y) 1.0) (sqrt (+ x 1.0))))
13.0ms	(/ x (sqrt (+ x 1.0)))

series400.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (+ x 1.0))
151.0ms	(/ (+ (/ x y) 1.0) (sqrt (+ x 1.0)))
59.0ms	(* (/ x (sqrt (+ x 1.0))) (/ (+ (/ x y) 1.0) (sqrt (+ x 1.0))))
148.0ms	(/ x (sqrt (+ x 1.0)))

simplify1.2s

Counts: 218 → 218

prune617.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ x y) (/ x y))
0.8b	(/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))))
4.0b	(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
15.7b	(/ (/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

rewrite662.0ms

Algorithm

rewrite-expression-head

Rules

1675×	`times-frac`
1616×	`*-un-lft-identity`
630×	`add-sqr-sqrt`
618×	`add-cube-cbrt`
499×	`distribute-lft-out`
276×	`unpow-prod-down` `cube-prod`
138×	`associate-/l*`
69×	`sum-cubes`
54×	`associate-/r*`
47×	`associate-/r/`
32×	`add-exp-log` `add-cbrt-cube`
27×	`div-inv`
19×	`flip3-+` `flip-+`
14×	`cbrt-undiv` `div-exp`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
6×	`frac-add`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`frac-times` `flip3--` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `flip--` `associate-/l/`
1×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 870

Calls

4 calls:

33.0ms	(* (/ x y) (/ x y))
134.0ms	(/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))))
120.0ms	(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
250.0ms	(/ (/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

series358.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (/ x y) (/ x y))
124.0ms	(/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))))
89.0ms	(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
111.0ms	(/ (/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

simplify1.5s

Counts: 882 → 882

prune2.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify801.0ms

end0.0ms

sample685.0ms

Algorithm

intervals

Results

433.0ms

9145×

body

valid