Details

sample99.0ms

Algorithm

intervals

Results

33.0ms

262×

body

valid

simplify259.0ms

Calls

1 calls:

Slowest

259.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite115.0ms

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` `expm1-log1p-u` `+-commutative` `distribute-lft-in` `insert-posit16` `log1p-expm1-u` `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

76.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
24.0ms	(* (+ t1 u) (+ t1 u))

series157.0ms

Calls

2 calls:

Slowest

132.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
25.0ms	(* (+ t1 u) (+ t1 u))

simplify1.3m

Calls

861 calls:

Slowest

880.0ms	(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
880.0ms	(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
783.0ms	(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
735.0ms	(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))
644.0ms	(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))

prune4.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

264×	`*-un-lft-identity`
178×	`associate-/l*`
170×	`frac-times`
161×	`add-sqr-sqrt`
149×	`add-cube-cbrt`
124×	`associate-/r*`
108×	`times-frac`
60×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
57×	`distribute-lft-out`
46×	`associate-l`
32×	`clear-num`
31×	`frac-2neg`
20×	`neg-mul-1`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r`
17×	`associate-*l/`
10×	`associate-*r/`
8×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`distribute-frac-neg` `un-div-inv`
1×	`distribute-lft-neg-out` `neg-sub0` `div-sub` `pow-prod-down` `*-commutative`

Calls

3 calls:

Slowest

62.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
10.0ms	(/ (- t1) (+ t1 u))
8.0ms	(/ v (+ t1 u))

series275.0ms

Calls

3 calls:

Slowest

160.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
76.0ms	(/ (- t1) (+ t1 u))
39.0ms	(/ v (+ t1 u))

simplify39.4s

Calls

590 calls:

Slowest

730.0ms	(* (/ (+ t1 u) (- (sqrt t1))) (- (+ t1 u)))
476.0ms	(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
471.0ms	(* (/ (+ t1 u) (sqrt t1)) (- (+ t1 u)))
434.0ms	(* (/ (+ t1 u) (- (cbrt t1))) (- (+ t1 u)))
429.0ms	(* (/ (+ t1 u) (cbrt t1)) (- (+ t1 u)))

prune3.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

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))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

1564×	`times-frac`
1112×	`*-un-lft-identity`
642×	`add-sqr-sqrt` `add-cube-cbrt`
306×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
235×	`distribute-lft-out`
82×	`associate-/r/`
78×	`div-inv`
54×	`associate-/l*`
37×	`flip3-+` `flip-+`
30×	`associate-/r*`
17×	`neg-mul-1`
14×	`associate-/l/`
12×	`add-cbrt-cube` `add-exp-log`
10×	`distribute-neg-frac`
5×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `div-sub` `distribute-frac-neg`

Calls

3 calls:

Slowest

48.0ms	(/ (- (/ v (+ t1 u))) (/ (+ t1 u) t1))
15.0ms	(/ (+ t1 u) t1)
12.0ms	(/ v (+ t1 u))

series135.0ms

Calls

3 calls:

Slowest

69.0ms	(/ (- (/ v (+ t1 u))) (/ (+ t1 u) t1))
35.0ms	(/ v (+ t1 u))
31.0ms	(/ (+ t1 u) t1)

simplify2.9m

Calls

1433 calls:

Slowest

995.0ms	(/ (- (/ (* (cbrt v) (cbrt v)) (sqrt (+ t1 u)))) (/ 1 (* (cbrt t1) (cbrt t1))))
870.0ms	(/ (/ (* (cbrt v) (cbrt v)) 1) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) 1))
791.0ms	(/ (/ (* (cbrt v) (cbrt v)) 1) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) 1))
677.0ms	(/ (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ 1 (* (cbrt t1) (cbrt t1))))
648.0ms	(/ (- (/ 1 1)) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (sqrt t1)))

prune7.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

292×	`times-frac`
291×	`*-un-lft-identity`
139×	`add-sqr-sqrt` `add-cube-cbrt`
90×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
76×	`distribute-lft-out`
46×	`associate-/l*`
24×	`associate-/r/`
12×	`associate-/r*` `flip3-+` `flip-+` `div-inv`
10×	`distribute-neg-frac` `associate-/l/`
6×	`add-cbrt-cube` `add-exp-log`
5×	`neg-mul-1`
3×	`clear-num` `frac-2neg`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `div-sub` `distribute-frac-neg`

Calls

2 calls:

Slowest

32.0ms	(/ (- (/ v (+ t1 u))) (+ 1 (/ u t1)))
8.0ms	(/ v (+ t1 u))

series106.0ms

Calls

2 calls:

Slowest

73.0ms	(/ (- (/ v (+ t1 u))) (+ 1 (/ u t1)))
33.0ms	(/ v (+ t1 u))

simplify28.4s

Calls

416 calls:

Slowest

499.0ms	(/ (/ v (+ (pow t1 3) (pow u 3))) 1)
458.0ms	(/ (- (/ v (- (* t1 t1) (* u u)))) 1)
446.0ms	(/ (- (/ v (- (* t1 t1) (* u u)))) (* (cbrt (+ 1 (/ u t1))) (cbrt (+ 1 (/ u t1)))))
445.0ms	(/ (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (cbrt (+ 1 (/ u t1))) (cbrt (+ 1 (/ u t1)))))
409.0ms	(/ (- (/ v (- (* t1 t1) (* u u)))) 1)

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (1.4b remaining)

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

bsearch4.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

851.0ms

8222×

body

valid