Details

Time bar (total: 21.6s)

sample81.0ms

Algorithm
intervals
Results
44.0ms261×body80valid

simplify233.0ms

Calls
1 calls:
Slowest
232.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize22.0ms

Local error

Found 2 expressions with local error:

17.6b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×flip3-+ flip-+
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
7×pow1
4×add-sqr-sqrt *-un-lft-identity associate-*l/ associate-*r/ add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod 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 *-commutative pow-prod-up div-inv associate-/l*
Calls
2 calls:
Slowest
12.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
5.0ms
(* (+ t1 u) (+ t1 u))

series138.0ms

Calls
2 calls:
Slowest
113.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
24.0ms
(* (+ t1 u) (+ t1 u))

simplify7.1s

Calls
48 calls:
Slowest
1.1s
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
717.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
521.0ms
(* (- (* t1 t1) (* u u)) (+ (pow t1 3) (pow u 3)))
503.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))
473.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune561.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-*l*
10×add-cbrt-cube add-exp-log
8×associate-/r/
7×neg-mul-1
6×associate-/r* associate-*r*
5×pow1
4×flip3-+ flip-+ div-inv associate-/l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp prod-exp distribute-frac-neg cbrt-unprod
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Calls
3 calls:
Slowest
15.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
8.0ms
(/ (- t1) (+ t1 u))
1.0ms
(/ v (+ t1 u))

series266.0ms

Calls
3 calls:
Slowest
165.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
69.0ms
(/ (- t1) (+ t1 u))
32.0ms
(/ v (+ t1 u))

simplify2.3s

Calls
82 calls:
Slowest
301.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
205.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
148.0ms
(/ (- t1) (- (* t1 t1) (* u u)))
131.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
127.0ms
(/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ (- t1) (+ t1 u)) v)
0.6b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×associate-*l*
11×add-exp-log
8×add-cbrt-cube associate-/r/
7×pow1 neg-mul-1
6×associate-/r* associate-*r*
4×expm1-log1p-u flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
3×distribute-lft-neg-out distribute-frac-neg
2×rec-exp clear-num frac-2neg prod-exp *-commutative
1×neg-sub0 frac-times cbrt-undiv div-sub div-exp pow-prod-down associate-*r/ un-div-inv cbrt-unprod pow-flip inv-pow
Calls
4 calls:
Slowest
19.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
8.0ms
(/ (- t1) (+ t1 u))
6.0ms
(* (/ (- t1) (+ t1 u)) v)
2.0ms
(/ 1 (+ t1 u))

series398.0ms

Calls
4 calls:
Slowest
168.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
129.0ms
(* (/ (- t1) (+ t1 u)) v)
56.0ms
(/ 1 (+ t1 u))
45.0ms
(/ (- t1) (+ t1 u))

simplify3.4s

Calls
89 calls:
Slowest
442.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
436.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (log (/ 1 (+ t1 u))))
307.0ms
(* (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
241.0ms
(* (* (/ t1 (+ t1 u)) v) (/ 1 (+ t1 u)))
214.0ms
(/ (- t1) (- (* t1 t1) (* u u)))

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize3.0ms

Local error

Found 3 expressions with local error:

2.3b
(* (/ (- t1) (+ t1 u)) v)
0.5b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
27×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-*l*
7×neg-mul-1 add-cbrt-cube add-exp-log
6×associate-/r* associate-/r/
5×associate-/l*
4×distribute-frac-neg
3×expm1-log1p-u pow1 flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out cbrt-undiv clear-num frac-2neg div-exp associate-*l/
1×neg-sub0 div-sub *-commutative associate-/l/
Calls
3 calls:
Slowest
13.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
8.0ms
(/ (- t1) (+ t1 u))
6.0ms
(* (/ (- t1) (+ t1 u)) v)

series345.0ms

Calls
3 calls:
Slowest
168.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
121.0ms
(* (/ (- t1) (+ t1 u)) v)
55.0ms
(/ (- t1) (+ t1 u))

simplify2.1s

Calls
79 calls:
Slowest
338.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
181.0ms
(/ (- t1) (- (* t1 t1) (* u u)))
177.0ms
(- (log (* (/ (- t1) (+ t1 u)) v)) (log (+ t1 u)))
167.0ms
(/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
133.0ms
(+ (* t1 t1) (- (* u u) (* t1 u)))

prune994.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (1.1b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch8.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
903.0ms8233×body80valid