Details

sample133.0ms

Algorithm

intervals

Results

34.0ms

262×

body

valid

simplify209.0ms

Calls

1 calls:

Slowest

208.0ms

(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize15.0ms

Local error

Found 2 expressions with local error:

17.9b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b	(* (+ t1 u) (+ t1 u))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

505×	`*-un-lft-identity`
380×	`times-frac`
295×	`add-sqr-sqrt`
294×	`associate-l`
211×	`add-cube-cbrt`
147×	`associate-r`
126×	`swap-sqr` `distribute-lft-out`
63×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
42×	`*-commutative` `unswap-sqr`
21×	`neg-mul-1`
20×	`associate-/r*`
19×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`frac-times` `associate-/r/`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `insert-posit16` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `clear-num` `frac-2neg` `pow-plus` `pow-prod-down` `distribute-frac-neg` `pow-sqr` `pow-prod-up` `div-inv`

Calls

2 calls:

Slowest

71.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
40.0ms	(* (+ t1 u) (+ t1 u))

series158.0ms

Calls

2 calls:

Slowest

137.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
21.0ms	(* (+ t1 u) (+ t1 u))

simplify1.2m

Calls

861 calls:

Slowest

954.0ms	(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
861.0ms	(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
781.0ms	(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
695.0ms	(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
664.0ms	(/ (* (cbrt t1) (cbrt t1)) (* (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))

prune4.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

1.0b	(* (/ v (+ t1 u)) (/ (- t1) (+ t1 u)))
0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

265×	`*-un-lft-identity`
179×	`associate-/l*`
170×	`frac-times`
161×	`add-sqr-sqrt`
149×	`add-cube-cbrt`
124×	`associate-/r*`
108×	`times-frac`
61×	`distribute-rgt-neg-in`
60×	`distribute-lft-neg-in`
57×	`distribute-lft-out`
46×	`associate-r`
32×	`clear-num`
31×	`frac-2neg`
20×	`neg-mul-1`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-l`
17×	`associate-*r/`
10×	`associate-*l/`
8×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`un-div-inv` `insert-posit16` `add-log-exp`
2×	`distribute-frac-neg`
1×	`neg-sub0` `div-sub` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out`

Calls

3 calls:

Slowest

63.0ms	(* (/ v (+ t1 u)) (/ (- t1) (+ t1 u)))
11.0ms	(/ (- t1) (+ t1 u))
7.0ms	(/ v (+ t1 u))

series175.0ms

Calls

3 calls:

Slowest

71.0ms	(* (/ v (+ t1 u)) (/ (- t1) (+ t1 u)))
60.0ms	(/ (- t1) (+ t1 u))
43.0ms	(/ v (+ t1 u))

simplify35.2s

Calls

589 calls:

Slowest

498.0ms	(* (+ t1 u) (/ (+ t1 u) (sqrt (- t1))))
439.0ms	(* (/ v (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (- (* (cbrt t1) (cbrt t1))))
435.0ms	(* (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))))
414.0ms	(* (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
353.0ms	(* (- (+ t1 u)) (+ t1 u))

prune3.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

1.0b	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))
0.0b	(/ (+ t1 u) (- t1))
0.0b	(/ v (+ t1 u))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

2144×	`times-frac`
1525×	`*-un-lft-identity`
841×	`add-sqr-sqrt` `add-cube-cbrt`
342×	`distribute-lft-out`
246×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
111×	`associate-/r/`
82×	`neg-mul-1`
72×	`associate-/r*`
67×	`div-inv`
48×	`flip3-+` `flip-+`
32×	`associate-/l*`
19×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/l/`
10×	`cbrt-undiv` `div-exp`
5×	`clear-num` `frac-2neg`
3×	`pow1` `insert-posit16` `add-log-exp`

Calls

3 calls:

Slowest

40.0ms	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))
17.0ms	(/ (+ t1 u) (- t1))
15.0ms	(/ v (+ t1 u))

series152.0ms

Calls

3 calls:

Slowest

67.0ms	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))
52.0ms	(/ (+ t1 u) (- t1))
32.0ms	(/ v (+ t1 u))

simplify3.9m

Calls

1813 calls:

Slowest

990.0ms	(/ (/ (* (cbrt v) (cbrt v)) 1) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) 1))
981.0ms	(/ (/ (* (cbrt v) (cbrt v)) 1) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) 1))
956.0ms	(/ (/ (* (cbrt v) (cbrt v)) 1) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) 1))
876.0ms	(/ (/ (* (cbrt v) (cbrt v)) 1) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) 1))
737.0ms	(/ (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ (sqrt (+ t1 u)) (- 1)))

prune9.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (/ v (+ t1 u)) (- (+ 1 (/ u t1))))
0.0b	(/ v (+ t1 u))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

384×	`times-frac`
338×	`*-un-lft-identity`
174×	`add-sqr-sqrt` `add-cube-cbrt`
82×	`distribute-lft-out`
76×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
30×	`associate-/r/`
24×	`associate-/l*`
20×	`associate-/r*`
19×	`neg-mul-1`
15×	`flip3-+` `flip-+` `div-inv`
10×	`associate-/l/`
9×	`add-cbrt-cube` `add-exp-log`
4×	`cbrt-undiv` `div-exp`
3×	`clear-num` `frac-2neg`
2×	`pow1` `insert-posit16` `distribute-neg-frac` `add-log-exp`

Calls

2 calls:

Slowest

59.0ms	(/ (/ v (+ t1 u)) (- (+ 1 (/ u t1))))
8.0ms	(/ v (+ t1 u))

series125.0ms

Calls

2 calls:

Slowest

71.0ms	(/ (/ v (+ t1 u)) (- (+ 1 (/ u t1))))
54.0ms	(/ v (+ t1 u))

simplify42.3s

Calls

513 calls:

Slowest

964.0ms	(/ (/ (cbrt v) (+ t1 u)) (- (+ 1 (/ u t1))))
520.0ms	(/ (/ (cbrt v) (+ t1 u)) (- (+ 1 (/ u t1))))
517.0ms	(/ (/ (cbrt v) (+ t1 u)) (- (+ 1 (/ u t1))))
514.0ms	(/ (/ (sqrt v) (+ t1 u)) (- (+ 1 (/ u t1))))
487.0ms	(/ (/ (cbrt v) (+ t1 u)) (- (+ 1 (/ u t1))))

prune3.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch6.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.3s

8222×

body

valid