Details

Time bar (total: 18.5s)

sample130.0ms

Algorithm
intervals
Results
71.0ms262×body80valid

simplify607.0ms

Calls
1 calls:
Slowest
606.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize30.0ms

Local error

Found 2 expressions with local error:

17.2b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite30.0ms

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
21.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
7.0ms
(* (+ t1 u) (+ t1 u))

series75.0ms

Calls
2 calls:
Slowest
59.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
16.0ms
(* (+ t1 u) (+ t1 u))

simplify5.4s

Calls
48 calls:
Slowest
631.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
618.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
472.0ms
(* (- (* t1 t1) (* u u)) (+ (pow t1 3) (pow u 3)))
419.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))
367.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune561.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

2.1b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite25.0ms

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)))
8.0ms
(/ (- t1) (+ t1 u))
1.0ms
(/ v (+ t1 u))

series147.0ms

Calls
3 calls:
Slowest
104.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
22.0ms
(/ v (+ t1 u))
20.0ms
(/ (- t1) (+ t1 u))

simplify2.2s

Calls
82 calls:
Slowest
373.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
192.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
185.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (log (/ v (+ t1 u))))
144.0ms
(+ (log (/ (- t1) (+ t1 u))) (log (/ v (+ t1 u))))
124.0ms
(/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

3.1b
(* (/ (- t1) (+ t1 u)) v)
0.3b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite23.0ms

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×pow1 flip3-+ flip-+ insert-posit16 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
8.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
8.0ms
(/ (- t1) (+ t1 u))
5.0ms
(* (/ (- t1) (+ t1 u)) v)

series157.0ms

Calls
3 calls:
Slowest
69.0ms
(* (/ (- t1) (+ t1 u)) v)
68.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
20.0ms
(/ (- t1) (+ t1 u))

simplify1.9s

Calls
79 calls:
Slowest
365.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
202.0ms
(- (log (* (/ (- t1) (+ t1 u)) v)) (log (+ t1 u)))
145.0ms
(/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
131.0ms
(/ (- t1) (- (* t1 t1) (* u u)))
91.0ms
(/ (/ (- t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))

prune820.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (/ (- t1) (+ t1 u)) v)
0.4b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite33.0ms

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×flip3-+ associate-*l/ flip-+ insert-posit16 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
17.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
10.0ms
(* (/ (- t1) (+ t1 u)) v)
4.0ms
(/ (- t1) (+ t1 u))
1.0ms
(/ 1 (+ t1 u))

series220.0ms

Calls
4 calls:
Slowest
104.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
58.0ms
(* (/ (- t1) (+ t1 u)) v)
33.0ms
(/ (- t1) (+ t1 u))
25.0ms
(/ 1 (+ t1 u))

simplify2.9s

Calls
89 calls:
Slowest
354.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
328.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (log (/ 1 (+ t1 u))))
313.0ms
(* (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
253.0ms
(* (* (/ t1 (+ t1 u)) v) (/ 1 (+ t1 u)))
212.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (- (log (+ t1 u))))

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch8.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
811.0ms8276×body80valid