Details

Time bar (total: 53.6s)

sample97.0ms

Algorithm
intervals
Results
31.0ms263×body80valid

simplify493.0ms

Calls
1 calls:
Slowest
492.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize30.0ms

Local error

Found 2 expressions with local error:

19.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite93.0ms

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
Calls
2 calls:
Slowest
45.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
44.0ms
(* (+ t1 u) (+ t1 u))

series178.0ms

Calls
2 calls:
Slowest
152.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
26.0ms
(* (+ t1 u) (+ t1 u))

simplify9.6s

Calls
69 calls:
Slowest
963.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
928.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
919.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
822.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
735.0ms
(* (+ (pow t1 3) (pow u 3)) (- (* t1 t1) (* u u)))

prune841.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

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
Calls
3 calls:
Slowest
34.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
24.0ms
(/ (- t1) (+ t1 u))
10.0ms
(/ v (+ t1 u))

series259.0ms

Calls
3 calls:
Slowest
173.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
53.0ms
(/ (- t1) (+ t1 u))
33.0ms
(/ v (+ t1 u))

simplify6.3s

Calls
225 calls:
Slowest
415.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
390.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
379.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
311.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
195.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

2.7b
(* (/ (- t1) (+ t1 u)) v)
0.8b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
85×times-frac
60×add-sqr-sqrt
55×add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
19×add-cbrt-cube add-exp-log
11×associate-/l*
9×neg-mul-1
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp distribute-frac-neg cbrt-unprod
3×expm1-log1p-u flip3-+ associate-*r* flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*l/ unswap-sqr
1×neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Calls
3 calls:
Slowest
24.0ms
(* (/ (- t1) (+ t1 u)) v)
23.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
19.0ms
(/ (- t1) (+ t1 u))

series370.0ms

Calls
3 calls:
Slowest
195.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
123.0ms
(* (/ (- t1) (+ t1 u)) v)
51.0ms
(/ (- t1) (+ t1 u))

simplify5.9s

Calls
187 calls:
Slowest
557.0ms
(/ (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
520.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
428.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
283.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v))
183.0ms
(- (+ (log (/ (- t1) (+ t1 u))) (log v)) (log (+ t1 u)))

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (/ (- (* (cbrt t1) (cbrt t1))) (/ (+ t1 u) (cbrt t1))) (/ v (+ t1 u)))
0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
212×*-un-lft-identity
173×associate-*l*
164×add-sqr-sqrt
134×add-cube-cbrt
83×cbrt-prod
39×distribute-lft-out
28×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
25×add-exp-log
23×add-cbrt-cube
18×associate-*r*
9×cbrt-undiv div-exp
8×div-inv unswap-sqr
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-/r/
1×distribute-lft-neg-out frac-times flip3-+ pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative flip-+
Calls
4 calls:
Slowest
64.0ms
(* (/ (- (* (cbrt t1) (cbrt t1))) (/ (+ t1 u) (cbrt t1))) (/ v (+ t1 u)))
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)

series1.1s

Calls
4 calls:
Slowest
316.0ms
(cbrt t1)
311.0ms
(cbrt t1)
274.0ms
(cbrt t1)
202.0ms
(* (/ (- (* (cbrt t1) (cbrt t1))) (/ (+ t1 u) (cbrt t1))) (/ v (+ t1 u)))

simplify20.2s

Calls
245 calls:
Slowest
709.0ms
(* (/ (* (* (- (* (cbrt t1) (cbrt t1))) (- (* (cbrt t1) (cbrt t1)))) (- (* (cbrt t1) (cbrt t1)))) (/ (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
703.0ms
(* (/ (* (* (- (* (cbrt t1) (cbrt t1))) (- (* (cbrt t1) (cbrt t1)))) (- (* (cbrt t1) (cbrt t1)))) (* (* (/ (+ t1 u) (cbrt t1)) (/ (+ t1 u) (cbrt t1))) (/ (+ t1 u) (cbrt t1)))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
693.0ms
(* (/ (* (* (- (* (cbrt t1) (cbrt t1))) (- (* (cbrt t1) (cbrt t1)))) (- (* (cbrt t1) (cbrt t1)))) (* (* (/ (+ t1 u) (cbrt t1)) (/ (+ t1 u) (cbrt t1))) (/ (+ t1 u) (cbrt t1)))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
656.0ms
(* (* (* (/ (- (* (cbrt t1) (cbrt t1))) (/ (+ t1 u) (cbrt t1))) (/ (- (* (cbrt t1) (cbrt t1))) (/ (+ t1 u) (cbrt t1)))) (/ (- (* (cbrt t1) (cbrt t1))) (/ (+ t1 u) (cbrt t1)))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
549.0ms
(/ (* (cbrt (- (* (cbrt t1) (cbrt t1)))) (cbrt (- (* (cbrt t1) (cbrt t1))))) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt (cbrt t1)) (cbrt (cbrt t1)))))

prune2.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (1.3b remaining)

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

bsearch4.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
855.0ms8232×body80valid