Details

Time bar (total: 1.2m)

sample145.0ms

Algorithm
intervals
Results
33.0ms263×body80valid

simplify271.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
270.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize24.0ms

Local error

Found 2 expressions with local error:

19.2b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite66.0ms

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 u) (+ t1 u))
26.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
131.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
18.0ms
(* (+ t1 u) (+ t1 u))

simplify13.3s

Counts
91 → 78
Calls
91 calls:
Slowest
1.2s
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
773.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
755.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
710.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
455.0ms
(* (+ t1 u) (- (* t1 t1) (* u u)))

prune768.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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)))
9.0ms
(/ (- t1) (+ t1 u))
7.0ms
(/ v (+ t1 u))

series273.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
171.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
62.0ms
(/ (- t1) (+ t1 u))
41.0ms
(/ v (+ t1 u))

simplify16.4s

Counts
263 → 204
Calls
263 calls:
Slowest
472.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
433.0ms
(* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u)))
373.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
337.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
332.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

7.0b
(* (- t1) (/ v (+ t1 u)))
0.8b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite61.0ms

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
33.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
19.0ms
(* (- t1) (/ v (+ t1 u)))
8.0ms
(/ v (+ t1 u))

series227.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
98.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
77.0ms
(* (- t1) (/ v (+ t1 u)))
51.0ms
(/ v (+ t1 u))

simplify11.8s

Counts
138 → 119
Calls
138 calls:
Slowest
769.0ms
(* (- t1) (/ v (+ (pow t1 3) (pow u 3))))
558.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
506.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
468.0ms
(/ (* (* (* (- t1) (/ v (+ t1 u))) (* (- t1) (/ v (+ t1 u)))) (* (- t1) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
342.0ms
(* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u)))

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

7.0b
(* (- t1) (/ v (+ t1 u)))
0.9b
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
54×add-exp-log
49×times-frac
46×add-sqr-sqrt
41×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
11×associate-*l*
8×cbrt-undiv associate-/r* associate-/r/
6×associate-/l*
4×rec-exp flip3-+ 1-exp pow-prod-down associate-*r/ flip-+ insert-posit16 div-inv add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×clear-num frac-2neg *-commutative unswap-sqr
1×frac-times neg-mul-1 associate-*l/ un-div-inv pow-flip inv-pow
Counts
4 → 171
Calls
4 calls:
Slowest
49.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
27.0ms
(* (- t1) (/ v (+ t1 u)))
8.0ms
(/ 1 (+ t1 u))
7.0ms
(/ v (+ t1 u))

series209.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
87.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
59.0ms
(* (- t1) (/ v (+ t1 u)))
36.0ms
(/ 1 (+ t1 u))
27.0ms
(/ v (+ t1 u))

simplify25.0s

Counts
208 → 183
Calls
208 calls:
Slowest
710.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (- (* t1 t1) (* u u))))
629.0ms
(+ (+ (log (- t1)) (- (log v) (log (+ t1 u)))) (- 0 (log (+ t1 u))))
626.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
597.0ms
(+ (+ (log (- t1)) (- (log v) (log (+ t1 u)))) (- (log 1) (log (+ t1 u))))
544.0ms
(* (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (1.2b remaining)

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

bsearch7.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
804.0ms8263×body80valid