Details

Time bar (total: 32.7s)

sample165.0ms

Algorithm
intervals
Results
34.0ms265×body80valid

simplify741.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
740.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize31.0ms

Local error

Found 2 expressions with local error:

18.9b
(/ (* (- 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
41.0ms
(* (+ t1 u) (+ t1 u))
20.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
157.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
26.0ms
(* (+ t1 u) (+ t1 u))

simplify8.5s

Counts
69 → 78
Calls
69 calls:
Slowest
940.0ms
(/ (* (* (* (- 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))))
831.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
829.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
360.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune836.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ 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
56.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
11.0ms
(/ v (+ t1 u))
9.0ms
(/ (- t1) (+ t1 u))

series315.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
200.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
74.0ms
(/ (- t1) (+ t1 u))
41.0ms
(/ v (+ t1 u))

simplify6.7s

Counts
225 → 204
Calls
225 calls:
Slowest
579.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
400.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
349.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
293.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
211.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

2.4b
(* (/ (- t1) (+ t1 u)) v)
0.4b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite73.0ms

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
25.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
23.0ms
(/ (- t1) (+ t1 u))
19.0ms
(* (/ (- t1) (+ t1 u)) v)

series344.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
174.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
117.0ms
(* (/ (- t1) (+ t1 u)) v)
52.0ms
(/ (- t1) (+ t1 u))

simplify6.2s

Counts
187 → 177
Calls
187 calls:
Slowest
588.0ms
(/ (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
485.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
336.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
244.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v))
209.0ms
(- (log (* (/ (- t1) (+ t1 u)) v)) (log (+ t1 u)))

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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
9.0ms
(cbrt t1)
6.0ms
(cbrt (+ t1 u))
2.0ms
(cbrt t1)
1.0ms
(cbrt t1)

series988.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
303.0ms
(cbrt t1)
255.0ms
(cbrt t1)
250.0ms
(cbrt t1)
179.0ms
(cbrt (+ t1 u))

simplify1.3s

Counts
27 → 63
Calls
27 calls:
Slowest
433.0ms
(- (+ (* 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))))
154.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
139.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
129.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
121.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))

prune926.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch5.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8291×body80valid