Details

Time bar (total: 1.3m)

sample109.0ms

Algorithm
intervals
Results
18.0ms259×body80valid

simplify410.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
409.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize30.0ms

Local error

Found 2 expressions with local error:

16.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite88.0ms

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
44.0ms
(* (+ t1 u) (+ t1 u))
37.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series307.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
278.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
29.0ms
(* (+ t1 u) (+ t1 u))

simplify17.4s

Counts
95 → 82
Calls
95 calls:
Slowest
1.2s
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
871.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
855.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
806.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
670.0ms
(* (+ t1 u) (- (* t1 t1) (* u u)))

prune799.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
68×times-frac
54×add-sqr-sqrt
46×associate-*l*
42×add-cube-cbrt
18×associate-*r*
17×distribute-lft-out
16×add-cbrt-cube add-exp-log
12×distribute-lft-neg-in distribute-rgt-neg-in
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 associate-/r* neg-mul-1 prod-exp cbrt-unprod unswap-sqr
3×flip3-+ flip-+ div-inv associate-/l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×distribute-lft-neg-out frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative
Counts
2 → 128
Calls
2 calls:
Slowest
46.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
8.0ms
(/ v (+ t1 u))

series231.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
184.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
46.0ms
(/ v (+ t1 u))

simplify16.4s

Counts
151 → 134
Calls
151 calls:
Slowest
434.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
389.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
369.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
366.0ms
(exp (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
357.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

2.0b
(* (/ (- t1) (+ t1 u)) v)
0.3b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
46×associate-*l*
45×times-frac
33×add-sqr-sqrt
28×add-cube-cbrt
16×add-cbrt-cube add-exp-log
12×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out
5×cbrt-undiv div-exp
4×pow1 associate-/r* neg-mul-1 prod-exp associate-/r/ cbrt-unprod
3×associate-*r* distribute-frac-neg
2×distribute-lft-neg-out expm1-log1p-u flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 101
Calls
2 calls:
Slowest
42.0ms
(* (/ (- t1) (+ t1 u)) v)
35.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))

series307.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
187.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
120.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify10.9s

Counts
113 → 107
Calls
113 calls:
Slowest
600.0ms
(/ (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
472.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
452.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
410.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ (pow t1 3) (pow u 3)))
303.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) v)

prune917.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.9b
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))
0.2b
(* v (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
66×times-frac
51×add-sqr-sqrt add-exp-log
49×associate-*l*
44×add-cube-cbrt
31×add-cbrt-cube
22×prod-exp
19×associate-*r*
17×distribute-lft-out
13×div-exp
12×distribute-lft-neg-in distribute-rgt-neg-in cbrt-unprod
11×pow1
7×cbrt-undiv
6×associate-/r/
5×associate-*r/
4×rec-exp associate-/r* neg-mul-1 1-exp pow-prod-down
3×expm1-log1p-u flip3-+ un-div-inv flip-+ insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp unswap-sqr
2×frac-times *-commutative
1×distribute-lft-neg-out clear-num frac-2neg associate-*l/ distribute-frac-neg pow-flip inv-pow
Counts
3 → 166
Calls
3 calls:
Slowest
43.0ms
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))
17.0ms
(* v (/ 1 (+ t1 u)))
8.0ms
(/ 1 (+ t1 u))

series239.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
164.0ms
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))
40.0ms
(/ 1 (+ t1 u))
35.0ms
(* v (/ 1 (+ t1 u)))

simplify27.7s

Counts
189 → 175
Calls
189 calls:
Slowest
601.0ms
(* (* (* v v) v) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
537.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (* v v) v) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))))
534.0ms
(* (/ (- t1) (sqrt (+ t1 u))) (* v (/ 1 (+ t1 u))))
522.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (* v v) v) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u)))))
507.0ms
(+ (log (/ (- t1) (+ t1 u))) (+ (log v) (- (log 1) (log (+ t1 u)))))

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes170.0ms

Accuracy

0% (1.3b remaining)

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

bsearch5.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
878.0ms8269×body80valid