Details

Time bar (total: 43.5s)

sample137.0ms

Algorithm
intervals
Results
30.0ms260×body80valid

simplify251.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
250.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize25.0ms

Local error

Found 2 expressions with local error:

19.2b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite64.0ms

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
37.0ms
(* (+ t1 u) (+ t1 u))
22.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
132.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
18.0ms
(* (+ t1 u) (+ t1 u))

simplify7.6s

Counts
69 → 78
Calls
69 calls:
Slowest
838.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
823.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
805.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
684.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
346.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune762.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

1.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite57.0ms

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
38.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
9.0ms
(/ (- t1) (+ t1 u))
7.0ms
(/ v (+ t1 u))

series281.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
190.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
65.0ms
(/ (- t1) (+ t1 u))
26.0ms
(/ v (+ t1 u))

simplify6.1s

Counts
225 → 204
Calls
225 calls:
Slowest
448.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
347.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
339.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
330.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
176.0ms
(* (* (* (/ (- 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

localize14.0ms

Local error

Found 3 expressions with local error:

7.5b
(* (- t1) (/ v (+ t1 u)))
0.3b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite61.0ms

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
34.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
18.0ms
(* (- t1) (/ v (+ t1 u)))
8.0ms
(/ v (+ t1 u))

series238.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
128.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
64.0ms
(* (- t1) (/ v (+ t1 u)))
45.0ms
(/ v (+ t1 u))

simplify4.5s

Counts
102 → 119
Calls
102 calls:
Slowest
732.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
553.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
477.0ms
(/ (* (* (* (- t1) (/ v (+ t1 u))) (* (- t1) (/ v (+ t1 u)))) (* (- t1) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
376.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
280.0ms
(* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
0.7b
(/ -1 (/ (+ t1 u) t1))
0.0b
(/ (+ t1 u) t1)
0.0b
(/ v (+ t1 u))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
184×*-un-lft-identity
141×add-sqr-sqrt
120×add-cube-cbrt
53×associate-*l*
34×add-cbrt-cube add-exp-log
32×distribute-lft-out
23×associate-/r*
18×associate-*r*
14×cbrt-undiv div-exp
12×div-inv
10×associate-/l*
6×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×insert-posit16 add-log-exp
3×clear-num frac-2neg flip3-+ flip-+
2×associate-/l/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 253
Calls
4 calls:
Slowest
50.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
19.0ms
(/ (+ t1 u) t1)
17.0ms
(/ v (+ t1 u))
9.0ms
(/ -1 (/ (+ t1 u) t1))

series284.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
162.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
65.0ms
(/ -1 (/ (+ t1 u) t1))
29.0ms
(/ (+ t1 u) t1)
27.0ms
(/ v (+ t1 u))

simplify16.6s

Counts
294 → 265
Calls
294 calls:
Slowest
682.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
586.0ms
(* (/ (* (* -1 -1) -1) (/ (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* t1 t1) t1))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
515.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt t1) (cbrt t1))))
501.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt t1) (cbrt t1))))
446.0ms
(+ (- (log -1) (- (log (+ t1 u)) (log t1))) (log (/ v (+ t1 u))))

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

69.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.2b

bsearch79.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
760.0ms8239×body80valid