Details

Time bar (total: 37.3s)

sample404.0ms

Algorithm
intervals
Results
18.0ms267×body80valid

simplify240.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
239.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize30.0ms

Local error

Found 2 expressions with local error:

16.4b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite81.0ms

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
46.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
33.0ms
(* (+ t1 u) (+ t1 u))

series144.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
118.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
26.0ms
(* (+ t1 u) (+ t1 u))

simplify8.2s

Counts
69 → 78
Calls
69 calls:
Slowest
955.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
857.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
813.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
804.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
313.0ms
(* (+ (pow t1 3) (pow u 3)) (+ (pow t1 3) (pow u 3)))

prune706.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

1.2b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite81.0ms

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
47.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
16.0ms
(/ (- t1) (+ t1 u))
15.0ms
(/ v (+ t1 u))

series254.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
159.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
60.0ms
(/ (- t1) (+ t1 u))
34.0ms
(/ v (+ t1 u))

simplify6.1s

Counts
225 → 204
Calls
225 calls:
Slowest
476.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
388.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
354.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
288.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
218.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

8.0b
(* (- t1) (/ v (+ t1 u)))
0.5b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite94.0ms

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
38.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
37.0ms
(* (- t1) (/ v (+ t1 u)))
15.0ms
(/ v (+ t1 u))

series231.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
108.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
73.0ms
(* (- t1) (/ v (+ t1 u)))
50.0ms
(/ v (+ t1 u))

simplify4.8s

Counts
102 → 119
Calls
102 calls:
Slowest
677.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
565.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
541.0ms
(/ (* (* (* (- t1) (/ v (+ t1 u))) (* (- t1) (/ v (+ t1 u)))) (* (- t1) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
407.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
337.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

8.0b
(* (- t1) (* v (/ 1 (+ t1 u))))
0.5b
(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
0.2b
(* v (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
46×*-un-lft-identity
34×add-sqr-sqrt add-cbrt-cube
30×times-frac
27×add-cube-cbrt
22×prod-exp
19×associate-*r*
14×div-exp
13×associate-*l*
12×pow1 cbrt-unprod
9×distribute-lft-out
8×cbrt-undiv associate-/r*
7×associate-*r/
6×associate-/r/
4×rec-exp 1-exp pow-prod-down insert-posit16 associate-/l* add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in flip3-+ un-div-inv flip-+ div-inv unswap-sqr
2×distribute-lft-neg-out clear-num frac-2neg *-commutative associate-/l/
1×neg-mul-1 distribute-frac-neg pow-flip inv-pow
Counts
4 → 148
Calls
4 calls:
Slowest
42.0ms
(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
38.0ms
(* (- t1) (* v (/ 1 (+ t1 u))))
34.0ms
(* v (/ 1 (+ t1 u)))
11.0ms
(/ 1 (+ t1 u))

series272.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
105.0ms
(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
79.0ms
(* (- t1) (* v (/ 1 (+ t1 u))))
47.0ms
(* v (/ 1 (+ t1 u)))
41.0ms
(/ 1 (+ t1 u))

simplify9.7s

Counts
132 → 160
Calls
132 calls:
Slowest
1.0s
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (* v v) v) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
689.0ms
(/ (* (* (* (- t1) (* v (/ 1 (+ t1 u)))) (* (- t1) (* v (/ 1 (+ t1 u))))) (* (- t1) (* v (/ 1 (+ t1 u))))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
622.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (* v v) v) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
593.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (* v (/ 1 (+ t1 u))) (* v (/ 1 (+ t1 u)))) (* v (/ 1 (+ t1 u))))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
516.0ms
(- (+ (log (- t1)) (+ (log v) (- 0 (log (+ t1 u))))) (log (+ t1 u)))

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (1.2b remaining)

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

bsearch6.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
949.0ms8277×body80valid