Details

Time bar (total: 19.5s)

sample235.0ms

Algorithm
intervals
Results
77.0ms265×body80valid

simplify898.0ms

Calls
1 calls:
Slowest
897.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize18.0ms

Local error

Found 2 expressions with local error:

15.1b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite25.0ms

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×cbrt-undiv div-exp prod-exp cbrt-unprod 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 *-commutative pow-prod-up div-inv associate-/l*
Calls
2 calls:
Slowest
18.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
5.0ms
(* (+ t1 u) (+ t1 u))

series108.0ms

Calls
2 calls:
Slowest
93.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
16.0ms
(* (+ t1 u) (+ t1 u))

simplify5.1s

Calls
48 calls:
Slowest
572.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
547.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
444.0ms
(* (- (* t1 t1) (* u u)) (+ (pow t1 3) (pow u 3)))
348.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))
309.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune516.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

1.6b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite27.0ms

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×insert-posit16 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
14.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
10.0ms
(/ (- t1) (+ t1 u))
1.0ms
(/ v (+ t1 u))

series283.0ms

Calls
3 calls:
Slowest
186.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
51.0ms
(/ (- t1) (+ t1 u))
46.0ms
(/ v (+ t1 u))

simplify2.4s

Calls
82 calls:
Slowest
447.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
209.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (log (/ v (+ t1 u))))
193.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
156.0ms
(+ (log (/ (- t1) (+ t1 u))) (log (/ v (+ t1 u))))
141.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

prune840.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

8.1b
(* (- t1) (/ v (+ t1 u)))
0.4b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-/r* associate-*r* associate-/r/
5×pow1
4×associate-*l*
3×flip3-+ times-frac flip-+ insert-posit16 div-inv add-log-exp
2×distribute-lft-neg-out cbrt-undiv clear-num frac-2neg div-exp prod-exp associate-*r/ cbrt-unprod
1×neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l* associate-/l/
Calls
3 calls:
Slowest
8.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
5.0ms
(* (- t1) (/ v (+ t1 u)))
1.0ms
(/ v (+ t1 u))

series203.0ms

Calls
3 calls:
Slowest
102.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
55.0ms
(* (- t1) (/ v (+ t1 u)))
46.0ms
(/ v (+ t1 u))

simplify2.4s

Calls
45 calls:
Slowest
545.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
407.0ms
(/ (* (* (* (- t1) (/ v (+ t1 u))) (* (- t1) (/ v (+ t1 u)))) (* (- t1) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
327.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
236.0ms
(- (log (* (- t1) (/ v (+ t1 u)))) (log (+ t1 u)))
134.0ms
(- (+ (log (- t1)) (log (/ v (+ t1 u)))) (log (+ t1 u)))

prune694.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
0.2b
(* (- t1) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×pow1 associate-*r*
11×add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×associate-/r/
7×prod-exp
6×associate-/r*
5×associate-*l*
4×flip3-+ pow-prod-down associate-*r/ cbrt-unprod flip-+ insert-posit16 div-inv add-log-exp
3×distribute-lft-neg-out rec-exp un-div-inv
2×frac-times clear-num frac-2neg associate-*l/ *-commutative
1×neg-mul-1 pow-flip inv-pow
Calls
4 calls:
Slowest
25.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
10.0ms
(* (- t1) (/ 1 (+ t1 u)))
2.0ms
(/ 1 (+ t1 u))
1.0ms
(/ v (+ t1 u))

series276.0ms

Calls
4 calls:
Slowest
156.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
49.0ms
(* (- t1) (/ 1 (+ t1 u)))
44.0ms
(/ 1 (+ t1 u))
27.0ms
(/ v (+ t1 u))

simplify3.3s

Calls
60 calls:
Slowest
334.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
327.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
304.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
273.0ms
(+ (+ (log (- t1)) (log (/ 1 (+ t1 u)))) (log (/ v (+ t1 u))))
252.0ms
(* (* (* (* (- t1) (/ 1 (+ t1 u))) (* (- t1) (/ 1 (+ t1 u)))) (* (- t1) (/ 1 (+ t1 u)))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune916.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (1.2b remaining)

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

bsearch6.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
872.0ms8283×body80valid