Details

Time bar (total: 44.5s)

sample124.0ms

Algorithm
intervals
Results
33.0ms260×body80valid

simplify316.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
316.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize33.0ms

Local error

Found 2 expressions with local error:

16.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite61.0ms

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
39.0ms
(* (+ t1 u) (+ t1 u))
18.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series175.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
157.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
18.0ms
(* (+ t1 u) (+ t1 u))

simplify8.9s

Counts
69 → 82
Calls
69 calls:
Slowest
909.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
882.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
795.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
745.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
443.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune668.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

1.3b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.3b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite66.0ms

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
Counts
3 → 201
Calls
3 calls:
Slowest
47.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
9.0ms
(/ (- t1) (+ t1 u))
7.0ms
(/ v (+ t1 u))

series247.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
161.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
54.0ms
(/ (- t1) (+ t1 u))
31.0ms
(/ v (+ t1 u))

simplify6.5s

Counts
225 → 210
Calls
225 calls:
Slowest
473.0ms
(* (/ (* (* (- 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))))
383.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
342.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
230.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

7.7b
(* (- t1) (/ v (+ t1 u)))
0.9b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
1×neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 116
Calls
3 calls:
Slowest
22.0ms
(* (- t1) (/ v (+ t1 u)))
17.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
14.0ms
(/ v (+ t1 u))

series266.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
138.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
83.0ms
(* (- t1) (/ v (+ t1 u)))
45.0ms
(/ v (+ t1 u))

simplify5.3s

Counts
102 → 125
Calls
102 calls:
Slowest
742.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
606.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
586.0ms
(/ (* (* (* (- t1) (/ v (+ t1 u))) (* (- t1) (/ v (+ t1 u)))) (* (- t1) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
525.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
497.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ t1 u))
0.8b
(cbrt (+ t1 u))
0.8b
(cbrt (+ t1 u))
0.8b
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
46×associate-*l*
45×times-frac add-exp-log
39×add-sqr-sqrt
31×add-cube-cbrt
29×add-cbrt-cube
18×cbrt-div prod-exp cbrt-unprod
13×cbrt-undiv div-exp associate-*r* distribute-lft-out
12×cbrt-prod distribute-lft-neg-in distribute-rgt-neg-in
10×flip3-+ associate-/r/ flip-+
6×pow1
5×frac-times
4×expm1-log1p-u neg-mul-1 insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×pow1/3 associate-*l/ associate-*r/
2×div-inv
1×distribute-lft-neg-out pow-prod-down distribute-frac-neg *-commutative
Counts
4 → 150
Calls
4 calls:
Slowest
76.0ms
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
6.0ms
(cbrt (+ t1 u))
5.0ms
(cbrt (+ t1 u))
5.0ms
(cbrt (+ t1 u))

series782.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
224.0ms
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
199.0ms
(cbrt (+ t1 u))
186.0ms
(cbrt (+ t1 u))
173.0ms
(cbrt (+ t1 u))

simplify14.6s

Counts
122 → 162
Calls
122 calls:
Slowest
1.0s
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* (* (cbrt v) (cbrt v)) (* (cbrt v) (cbrt v))) (* (cbrt v) (cbrt v))) (* (* (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))))
1.0s
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))))
817.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* (* (cbrt v) (cbrt v)) (* (cbrt v) (cbrt v))) (* (cbrt v) (cbrt v))) (* (* (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))))
723.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))))
632.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* v v) (* (* (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))))

prune2.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (1.2b remaining)

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

bsearch4.0ms

end0.0ms

sample986.0ms

Algorithm
intervals
Results
799.0ms8233×body80valid