Details

Time bar (total: 35.0s)

sample168.0ms

Algorithm
intervals
Results
34.0ms265×body80valid

simplify311.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
310.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize40.0ms

Local error

Found 2 expressions with local error:

18.9b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite90.0ms

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
48.0ms
(* (+ t1 u) (+ t1 u))
38.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
130.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
28.0ms
(* (+ t1 u) (+ t1 u))

simplify8.7s

Counts
69 → 82
Calls
69 calls:
Slowest
848.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
832.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
803.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
741.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
362.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune864.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

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
69.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
20.0ms
(/ (- t1) (+ t1 u))
17.0ms
(/ v (+ t1 u))

series279.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
177.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
56.0ms
(/ (- t1) (+ t1 u))
46.0ms
(/ v (+ t1 u))

simplify6.6s

Counts
225 → 210
Calls
225 calls:
Slowest
535.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
449.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
367.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
330.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
200.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (- (log v) (log (+ t1 u))))

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

2.4b
(* (/ (- t1) (+ t1 u)) v)
0.4b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite65.0ms

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/
Counts
3 → 174
Calls
3 calls:
Slowest
28.0ms
(* (/ (- t1) (+ t1 u)) v)
23.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
11.0ms
(/ (- t1) (+ t1 u))

series378.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
181.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
130.0ms
(* (/ (- t1) (+ t1 u)) v)
67.0ms
(/ (- t1) (+ t1 u))

simplify6.2s

Counts
187 → 183
Calls
187 calls:
Slowest
551.0ms
(/ (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
488.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
465.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
361.0ms
(/ t1 (sqrt (+ t1 u)))
221.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v))

prune1.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (log1p (expm1 (/ (- t1) (+ t1 u)))) v)
0.4b
(/ (* (log1p (expm1 (/ (- t1) (+ t1 u)))) v) (+ t1 u))
0.0b
(log1p (expm1 (/ (- t1) (+ t1 u))))
0.0b
(/ (- t1) (+ t1 u))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
44×times-frac
36×add-sqr-sqrt
34×add-cube-cbrt
15×distribute-lft-neg-in distribute-rgt-neg-in
13×add-cbrt-cube add-exp-log distribute-lft-out
11×associate-/l*
8×associate-/r*
6×pow1
5×neg-mul-1
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*r* associate-*l*
2×clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv
1×neg-sub0 log1p-udef div-sub pow-prod-down log1p-expm1 distribute-frac-neg *-commutative unswap-sqr
Counts
4 → 134
Calls
4 calls:
Slowest
26.0ms
(/ (* (log1p (expm1 (/ (- t1) (+ t1 u)))) v) (+ t1 u))
19.0ms
(/ (- t1) (+ t1 u))
12.0ms
(* (log1p (expm1 (/ (- t1) (+ t1 u)))) v)
0.0ms
(log1p (expm1 (/ (- t1) (+ t1 u))))

series570.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
216.0ms
(/ (* (log1p (expm1 (/ (- t1) (+ t1 u)))) v) (+ t1 u))
167.0ms
(* (log1p (expm1 (/ (- t1) (+ t1 u)))) v)
109.0ms
(log1p (expm1 (/ (- t1) (+ t1 u))))
77.0ms
(/ (- t1) (+ t1 u))

simplify3.6s

Counts
138 → 146
Calls
138 calls:
Slowest
409.0ms
(* (* (* (log1p (expm1 (/ (- t1) (+ t1 u)))) (log1p (expm1 (/ (- t1) (+ t1 u))))) (log1p (expm1 (/ (- t1) (+ t1 u))))) (* (* v v) v))
403.0ms
(/ (* (* (* (log1p (expm1 (/ (- t1) (+ t1 u)))) v) (* (log1p (expm1 (/ (- t1) (+ t1 u)))) v)) (* (log1p (expm1 (/ (- t1) (+ t1 u)))) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
350.0ms
(/ (* (* (* (log1p (expm1 (/ (- t1) (+ t1 u)))) (log1p (expm1 (/ (- t1) (+ t1 u))))) (log1p (expm1 (/ (- t1) (+ t1 u))))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
158.0ms
(- (log (* (log1p (expm1 (/ (- t1) (+ t1 u)))) v)) (log (+ t1 u)))
148.0ms
(- (+ (log (log1p (expm1 (/ (- t1) (+ t1 u))))) (log v)) (log (+ t1 u)))

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (1.3b remaining)

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

bsearch2.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
870.0ms8291×body80valid