Details

Time bar (total: 38.9s)

sample166.0ms

Algorithm
intervals
Results
31.0ms265×body80valid

simplify435.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
434.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize21.0ms

Local error

Found 2 expressions with local error:

19.9b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×swap-sqr add-cube-cbrt distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
2×insert-posit16 add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 72
Calls
2 calls:
Slowest
30.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
24.0ms
(* (+ t1 u) (+ t1 u))

series309.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
279.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
30.0ms
(* (+ t1 u) (+ t1 u))

simplify8.4s

Counts
69 → 78
Calls
69 calls:
Slowest
1.3s
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
856.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
856.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
766.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
351.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune825.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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-cbrt-cube add-exp-log
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×insert-posit16 add-log-exp
2×clear-num frac-2neg distribute-frac-neg
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 195
Calls
3 calls:
Slowest
36.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
17.0ms
(/ (- t1) (+ t1 u))
9.0ms
(/ v (+ t1 u))

series310.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
198.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
69.0ms
(/ (- t1) (+ t1 u))
43.0ms
(/ v (+ t1 u))

simplify6.2s

Counts
225 → 204
Calls
225 calls:
Slowest
470.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
401.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
370.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
268.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
210.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

6.0b
(* (- t1) (/ v (+ t1 u)))
0.6b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-cbrt-cube add-exp-log
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-+ insert-posit16 div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
1×neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 110
Calls
3 calls:
Slowest
37.0ms
(* (- t1) (/ v (+ t1 u)))
25.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.0ms
(/ v (+ t1 u))

series230.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
126.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
68.0ms
(* (- t1) (/ v (+ t1 u)))
37.0ms
(/ v (+ t1 u))

simplify4.4s

Counts
102 → 119
Calls
102 calls:
Slowest
534.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
513.0ms
(/ (* (* (* (- t1) (/ v (+ t1 u))) (* (- t1) (/ v (+ t1 u)))) (* (- t1) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
401.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
345.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
312.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
0.2b
(* (- t1) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
54×add-exp-log
50×times-frac
48×add-sqr-sqrt
41×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
11×associate-*l*
8×cbrt-undiv associate-/r* associate-/r/
6×associate-/l*
4×rec-exp flip3-+ 1-exp pow-prod-down associate-*r/ flip-+ insert-posit16 div-inv add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in un-div-inv unswap-sqr
2×frac-times clear-num frac-2neg associate-*l/ *-commutative
1×neg-mul-1 pow-flip inv-pow
Counts
4 → 174
Calls
4 calls:
Slowest
53.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
20.0ms
(* (- t1) (/ 1 (+ t1 u)))
8.0ms
(/ 1 (+ t1 u))
7.0ms
(/ v (+ t1 u))

series311.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
170.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
62.0ms
(* (- t1) (/ 1 (+ t1 u)))
48.0ms
(/ 1 (+ t1 u))
32.0ms
(/ v (+ t1 u))

simplify10.6s

Counts
168 → 186
Calls
168 calls:
Slowest
533.0ms
(+ (+ (log (- t1)) (- (log 1) (log (+ t1 u)))) (- (log v) (log (+ t1 u))))
531.0ms
(+ (+ (log (- t1)) (- 0 (log (+ t1 u)))) (- (log v) (log (+ t1 u))))
505.0ms
(* (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
500.0ms
(+ (+ (log (- t1)) (- 0 (log (+ t1 u)))) (log (/ v (+ t1 u))))
494.0ms
(* (* (* (* (- t1) (- t1)) (- t1)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u)))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch4.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8251×body80valid