Details

sample55.0ms

Algorithm

intervals

Results

10.0ms

260×

body

valid

simplify1.2s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
15.1b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

46.0ms	(* (+ t1 u) (+ t1 u))
65.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series170.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (+ t1 u) (+ t1 u))
142.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify962.0ms

Counts: 76 → 76

prune188.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
1.3b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

13.0ms	(/ v (+ t1 u))
25.0ms	(/ (- t1) (+ t1 u))
114.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ v (+ t1 u))
60.0ms	(/ (- t1) (+ t1 u))
157.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.1s

Counts: 201 → 201

prune522.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.3b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
9.2b	(* (- t1) (/ v (+ t1 u)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

22.0ms	(/ v (+ t1 u))
47.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
71.0ms	(* (- t1) (/ v (+ t1 u)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ v (+ t1 u))
109.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
76.0ms	(* (- t1) (/ v (+ t1 u)))

simplify841.0ms

Counts: 116 → 116

prune306.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
24.1b	(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
24.1b	(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
24.1b	(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
56×	`times-frac`
47×	`add-sqr-sqrt`
46×	`associate-l`
35×	`add-cube-cbrt`
18×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
9×	`cbrt-div`
6×	`pow1`
4×	`cbrt-undiv` `frac-times` `neg-mul-1` `associate-r/` `div-exp` `associate-l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `pow1/3`
2×	`flip3-+` `flip-+` `div-inv`
1×	`distribute-lft-neg-out` `distribute-frac-neg` `pow-prod-down` `*-commutative`

Counts

4 → 125

Calls

4 calls:

129.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
19.0ms	(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
20.0ms	(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
18.0ms	(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))

series1.2s

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
352.0ms	(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
320.0ms	(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
315.0ms	(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))

simplify957.0ms

Counts: 137 → 137

prune575.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.1s

end0.0ms

sample925.0ms

Algorithm

intervals

Results

522.0ms

8242×

body

valid