Details

Time bar (total: 31.7s)

sample229.0ms

Algorithm
intervals
Results
31.0ms263×body80valid

simplify747.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
746.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.7b

localize22.0ms

Local error

Found 2 expressions with local error:

21.7b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite65.0ms

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) v) (* (+ t1 u) (+ t1 u)))
24.0ms
(* (+ t1 u) (+ t1 u))

series144.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
120.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
23.0ms
(* (+ t1 u) (+ t1 u))

simplify8.0s

Counts
69 → 78
Calls
69 calls:
Slowest
895.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
840.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
788.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
762.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
346.0ms
(* (+ (pow t1 3) (pow u 3)) (+ (pow t1 3) (pow u 3)))

prune795.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite80.0ms

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
51.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
13.0ms
(/ v (+ t1 u))
10.0ms
(/ (- t1) (+ t1 u))

series260.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
157.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
62.0ms
(/ (- t1) (+ t1 u))
41.0ms
(/ v (+ t1 u))

simplify6.6s

Counts
225 → 204
Calls
225 calls:
Slowest
536.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
409.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
351.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
307.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
215.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.5b
(cbrt (+ t1 u))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 51
Calls
4 calls:
Slowest
5.0ms
(cbrt (+ t1 u))
2.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
316.0ms
(cbrt t1)
309.0ms
(cbrt t1)
235.0ms
(cbrt t1)
168.0ms
(cbrt (+ t1 u))

simplify1.3s

Counts
27 → 63
Calls
27 calls:
Slowest
436.0ms
(- (+ (* 1/3 (* (pow (/ 1 (pow u 2)) 1/3) t1)) (pow u 1/3)) (* 1/9 (* (pow (/ 1 (pow u 5)) 1/3) (pow t1 2))))
150.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
150.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
124.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
109.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))

prune852.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

2.0b
(* (/ (- t1) (+ t1 u)) v)
0.8b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
85×times-frac
60×add-sqr-sqrt
55×add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
19×add-cbrt-cube add-exp-log
11×associate-/l*
9×neg-mul-1
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp distribute-frac-neg cbrt-unprod
3×flip3-+ associate-*r* flip-+ insert-posit16 div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*l/ unswap-sqr
1×neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Counts
3 → 168
Calls
3 calls:
Slowest
38.0ms
(* (/ (- t1) (+ t1 u)) v)
19.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
10.0ms
(/ (- t1) (+ t1 u))

series351.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
180.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
108.0ms
(* (/ (- t1) (+ t1 u)) v)
63.0ms
(/ (- t1) (+ t1 u))

simplify5.7s

Counts
187 → 177
Calls
187 calls:
Slowest
492.0ms
(/ (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
462.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
424.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
275.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v))
204.0ms
(- (+ (log (/ (- t1) (+ t1 u))) (log v)) (log (+ t1 u)))

prune1.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (1.1b remaining)

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

bsearch14.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s8284×body80valid