Details

Time bar (total: 43.8s)

sample156.0ms

Algorithm
intervals
Results
32.0ms260×body80valid

simplify280.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
279.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 76
Calls
2 calls:
Slowest
26.0ms
(* (+ t1 u) (+ t1 u))
22.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
110.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
20.0ms
(* (+ t1 u) (+ t1 u))

simplify9.6s

Counts
69 → 82
Calls
69 calls:
Slowest
1.4s
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
919.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
898.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
821.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
458.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune794.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

1.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite106.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 201
Calls
3 calls:
Slowest
66.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
18.0ms
(/ (- t1) (+ t1 u))
16.0ms
(/ v (+ t1 u))

series305.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
187.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
74.0ms
(/ (- t1) (+ t1 u))
45.0ms
(/ v (+ t1 u))

simplify6.5s

Counts
225 → 210
Calls
225 calls:
Slowest
448.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
425.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
396.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
334.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
200.0ms
(+ (log (/ (- t1) (+ t1 u))) (- (log v) (log (+ t1 u))))

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (/ (- t1) (+ t1 u)) v)
0.4b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ 1 (+ t1 u))

rewrite127.0ms

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×expm1-log1p-u rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ flip-+ insert-posit16 log1p-expm1-u 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 → 237
Calls
4 calls:
Slowest
65.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
27.0ms
(* (/ (- t1) (+ t1 u)) v)
19.0ms
(/ (- t1) (+ t1 u))
12.0ms
(/ 1 (+ t1 u))

series378.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
175.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
98.0ms
(* (/ (- t1) (+ t1 u)) v)
59.0ms
(/ (- t1) (+ t1 u))
46.0ms
(/ 1 (+ t1 u))

simplify13.0s

Counts
248 → 249
Calls
248 calls:
Slowest
635.0ms
(* (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
540.0ms
(+ (+ (- (log (- t1)) (log (+ t1 u))) (log v)) (- (log 1) (log (+ t1 u))))
533.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (- (log 1) (log (+ t1 u))))
507.0ms
(+ (+ (log (/ (- t1) (+ t1 u))) (log v)) (- (log 1) (log (+ t1 u))))
498.0ms
(* (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))

prune2.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

7.5b
(* (- t1) (/ v (+ t1 u)))
0.3b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite84.0ms

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 expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ insert-posit16 log1p-expm1-u 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 → 116
Calls
3 calls:
Slowest
34.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
32.0ms
(* (- t1) (/ v (+ t1 u)))
16.0ms
(/ v (+ t1 u))

series206.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
97.0ms
(* (- t1) (/ v (+ t1 u)))
82.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
28.0ms
(/ v (+ t1 u))

simplify5.3s

Counts
102 → 125
Calls
102 calls:
Slowest
970.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
597.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
536.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
485.0ms
(/ (* (* (* (- t1) (/ v (+ t1 u))) (* (- t1) (/ v (+ t1 u)))) (* (- t1) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
331.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (1.3b remaining)

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

bsearch12.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
794.0ms8239×body80valid