Details

Time bar (total: 31.6s)

sample426.0ms

Algorithm
intervals
Results
67.0ms264×body80valid

simplify4.4s

Counts
1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize28.0ms

Local error

Found 2 expressions with local error:

19.5b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite51.0ms

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
28.0ms
(* (+ t1 u) (+ t1 u))
20.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
117.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
28.0ms
(* (+ t1 u) (+ t1 u))

simplify662.0ms

Counts
82 → 82

prune834.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
107×*-un-lft-identity
96×times-frac
71×add-sqr-sqrt
59×add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
24×distribute-lft-out
18×associate-*r*
16×add-cbrt-cube add-exp-log
10×associate-/l*
9×neg-mul-1
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 associate-/r* prod-exp cbrt-unprod unswap-sqr
3×flip3-+ flip-+ div-inv
2×expm1-log1p-u distribute-frac-neg insert-posit16 log1p-expm1-u add-log-exp
1×distribute-lft-neg-out neg-sub0 frac-times clear-num frac-2neg div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 165
Calls
2 calls:
Slowest
51.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
9.0ms
(/ (- t1) (+ t1 u))

series219.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
160.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
59.0ms
(/ (- t1) (+ t1 u))

simplify769.0ms

Counts
171 → 171

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

3.4b
(* (/ (- t1) (+ t1 u)) v)
0.6b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
109×*-un-lft-identity
93×times-frac
66×add-sqr-sqrt
61×add-cube-cbrt
49×add-exp-log
47×associate-*l*
31×add-cbrt-cube
27×distribute-lft-neg-in distribute-rgt-neg-in
24×distribute-lft-out
22×prod-exp
21×associate-*r*
12×div-exp cbrt-unprod
10×pow1 associate-/l*
9×neg-mul-1
7×cbrt-undiv
6×associate-/r/
4×associate-/r* pow-prod-down associate-*l/
3×distribute-lft-neg-out expm1-log1p-u rec-exp flip3-+ 1-exp distribute-frac-neg flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×*-commutative unswap-sqr
1×neg-sub0 frac-times clear-num frac-2neg div-sub associate-*r/ un-div-inv
Counts
3 → 197
Calls
3 calls:
Slowest
46.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
35.0ms
(* (/ (- t1) (+ t1 u)) v)
18.0ms
(/ (- t1) (+ t1 u))

series385.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
213.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
111.0ms
(* (/ (- t1) (+ t1 u)) v)
62.0ms
(/ (- t1) (+ t1 u))

simplify630.0ms

Counts
206 → 206

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (cbrt v) (* (cbrt v) (/ (- t1) (+ t1 u))))
0.6b
(cbrt v)
0.6b
(cbrt v)
0.6b
(cbrt v)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log
12×cbrt-prod
9×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
8×add-cbrt-cube
6×associate-*l*
5×prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×associate-*r/ distribute-rgt-neg-out
1×cbrt-undiv div-exp associate-*r* distribute-frac-neg *-commutative
Counts
4 → 70
Calls
4 calls:
Slowest
44.0ms
(* (cbrt v) (* (cbrt v) (/ (- t1) (+ t1 u))))
5.0ms
(cbrt v)
1.0ms
(cbrt v)
1.0ms
(cbrt v)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
328.0ms
(cbrt v)
320.0ms
(cbrt v)
270.0ms
(cbrt v)
179.0ms
(* (cbrt v) (* (cbrt v) (/ (- t1) (+ t1 u))))

simplify1.1s

Counts
82 → 82

prune849.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch14.9s

end0.0ms

sample1.1s

Algorithm
intervals
Results
875.0ms8299×body80valid