Details

Time bar (total: 44.6s)

sample231.0ms

Algorithm
intervals
Results
33.0ms260×body80valid

simplify267.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
264.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize19.0ms

Local error

Found 2 expressions with local error:

16.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite67.0ms

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
43.0ms
(* (+ t1 u) (+ t1 u))
19.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series306.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
274.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
32.0ms
(* (+ t1 u) (+ t1 u))

simplify8.7s

Counts
69 → 78
Calls
69 calls:
Slowest
1.0s
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
881.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
873.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
792.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
421.0ms
(- (+ (log (- t1)) (log v)) (log (* (+ t1 u) (+ t1 u))))

prune712.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

1.3b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.3b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite83.0ms

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
42.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
19.0ms
(/ (- t1) (+ t1 u))
16.0ms
(/ v (+ t1 u))

series299.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
191.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
75.0ms
(/ (- t1) (+ t1 u))
33.0ms
(/ v (+ t1 u))

simplify6.2s

Counts
225 → 204
Calls
225 calls:
Slowest
482.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
434.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
369.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
278.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
245.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

7.7b
(* (- t1) (/ v (+ t1 u)))
0.9b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite67.0ms

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)))
17.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
13.0ms
(/ v (+ t1 u))

series217.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
109.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
67.0ms
(* (- t1) (/ v (+ t1 u)))
41.0ms
(/ v (+ t1 u))

simplify4.4s

Counts
102 → 119
Calls
102 calls:
Slowest
662.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
482.0ms
(/ (* (* (* (- t1) (/ v (+ t1 u))) (* (- t1) (/ v (+ t1 u)))) (* (- t1) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
468.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
419.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
319.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ t1 u))
0.8b
(cbrt (+ t1 u))
0.8b
(cbrt (+ t1 u))
0.8b
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))

rewrite430.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
46×associate-*l*
45×times-frac add-exp-log
39×add-sqr-sqrt
31×add-cube-cbrt
29×add-cbrt-cube
18×cbrt-div prod-exp cbrt-unprod
13×cbrt-undiv div-exp associate-*r* distribute-lft-out
12×cbrt-prod distribute-lft-neg-in distribute-rgt-neg-in
10×flip3-+ associate-/r/ flip-+
6×pow1
5×frac-times
4×neg-mul-1 insert-posit16 add-log-exp unswap-sqr
3×pow1/3 associate-*l/ associate-*r/
2×div-inv
1×distribute-lft-neg-out pow-prod-down distribute-frac-neg *-commutative
Counts
4 → 142
Calls
4 calls:
Slowest
419.0ms
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))

series785.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
241.0ms
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
211.0ms
(cbrt (+ t1 u))
178.0ms
(cbrt (+ t1 u))
155.0ms
(cbrt (+ t1 u))

simplify15.2s

Counts
122 → 154
Calls
122 calls:
Slowest
1.3s
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* (* (cbrt v) (cbrt v)) (* (cbrt v) (cbrt v))) (* (cbrt v) (cbrt v))) (* (* (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))))
972.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))))
748.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* (* (cbrt v) (cbrt v)) (* (cbrt v) (cbrt v))) (* (cbrt v) (cbrt v))) (* (* (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))))
713.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))))
585.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* v v) (* (* (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))))

prune2.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (1.2b remaining)

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

bsearch7.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
851.0ms8233×body80valid