Details

Time bar (total: 46.4s)

sample164.0ms

Algorithm
intervals
Results
32.0ms263×body80valid

simplify310.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
309.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize20.0ms

Local error

Found 2 expressions with local error:

17.1b
(/ (* (- 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
29.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
25.0ms
(* (+ t1 u) (+ t1 u))

series129.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
113.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
16.0ms
(* (+ t1 u) (+ t1 u))

simplify8.0s

Counts
69 → 78
Calls
69 calls:
Slowest
862.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
834.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
795.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
791.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
318.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune738.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

1.0b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite85.0ms

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
64.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
10.0ms
(/ (- t1) (+ t1 u))
8.0ms
(/ v (+ t1 u))

series272.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
149.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
77.0ms
(/ (- t1) (+ t1 u))
46.0ms
(/ v (+ t1 u))

simplify6.4s

Counts
225 → 204
Calls
225 calls:
Slowest
589.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
416.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
308.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
282.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
210.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (- (log v) (log (+ t1 u))))

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (/ (- t1) (+ t1 u)) v)
0.9b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
105×times-frac
76×add-sqr-sqrt
71×add-cube-cbrt
54×add-exp-log
47×associate-*l*
34×add-cbrt-cube
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×prod-exp
21×associate-*r*
14×div-exp
13×associate-/l*
12×pow1 cbrt-unprod
9×neg-mul-1
8×cbrt-undiv associate-/r* associate-/r/
4×rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ flip-+ insert-posit16 div-inv add-log-exp
3×distribute-lft-neg-out distribute-frac-neg
2×clear-num frac-2neg *-commutative unswap-sqr
1×neg-sub0 frac-times div-sub associate-*r/ un-div-inv pow-flip inv-pow
Counts
4 → 229
Calls
4 calls:
Slowest
56.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
20.0ms
(* (/ (- t1) (+ t1 u)) v)
10.0ms
(/ (- t1) (+ t1 u))
9.0ms
(/ 1 (+ t1 u))

series398.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
174.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
120.0ms
(* (/ (- t1) (+ t1 u)) v)
62.0ms
(/ (- t1) (+ t1 u))
41.0ms
(/ 1 (+ t1 u))

simplify13.1s

Counts
248 → 241
Calls
248 calls:
Slowest
738.0ms
(* (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
592.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (- (log 1) (log (+ t1 u))))
511.0ms
(* (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
483.0ms
(* (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
477.0ms
(+ (+ (log (/ (- t1) (+ t1 u))) (log v)) (- (log 1) (log (+ t1 u))))

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) 1))
0.7b
(cbrt v)
0.7b
(cbrt v)
0.7b
(cbrt v)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
50×times-frac
46×associate-*l*
45×add-sqr-sqrt
37×add-exp-log
32×add-cube-cbrt
21×add-cbrt-cube
14×prod-exp
13×div-exp
12×distribute-lft-neg-in distribute-rgt-neg-in
10×distribute-lft-out
9×cbrt-prod
8×cbrt-unprod
7×cbrt-undiv associate-*r*
6×pow1 unswap-sqr
4×neg-mul-1 1-exp insert-posit16 add-log-exp
3×pow1/3
2×associate-/r/ div-inv
1×distribute-lft-neg-out frac-times flip3-+ pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative flip-+
Counts
4 → 125
Calls
4 calls:
Slowest
56.0ms
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) 1))
1.0ms
(cbrt v)
1.0ms
(cbrt v)
1.0ms
(cbrt v)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
316.0ms
(cbrt v)
280.0ms
(cbrt v)
265.0ms
(cbrt v)
254.0ms
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) 1))

simplify8.6s

Counts
106 → 137
Calls
106 calls:
Slowest
499.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* v v) (* (* 1 1) 1)))
442.0ms
(+ (log (/ (- t1) (+ t1 u))) (- (+ (log (cbrt v)) (log (cbrt v))) 0))
432.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ (* (cbrt v) (cbrt v)) 1) (/ (* (cbrt v) (cbrt v)) 1)) (/ (* (cbrt v) (cbrt v)) 1)))
427.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (log (/ (* (cbrt v) (cbrt v)) 1)))
420.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (- (+ (log (cbrt v)) (log (cbrt v))) (log 1)))

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch8.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
878.0ms8266×body80valid