Details

Time bar (total: 32.0s)

sample222.0ms

Algorithm
intervals
Results
28.0ms264×body80valid

simplify3.1s

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize15.0ms

Local error

Found 2 expressions with local error:

18.5b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite81.0ms

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
52.0ms
(* (+ t1 u) (+ t1 u))
25.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
153.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
25.0ms
(* (+ t1 u) (+ t1 u))

simplify519.0ms

Counts
82 → 82

prune619.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

1.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite78.0ms

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
34.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
16.0ms
(/ (- t1) (+ t1 u))
16.0ms
(/ v (+ t1 u))

series317.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
214.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
59.0ms
(/ (- t1) (+ t1 u))
43.0ms
(/ v (+ t1 u))

simplify1.1s

Counts
210 → 210

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ (- t1) (+ t1 u)) v)
1.0b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ 1 (+ t1 u))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
105×times-frac
76×add-sqr-sqrt
71×add-cube-cbrt
54×add-exp-log
47×associate-*l*
34×add-cbrt-cube
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×prod-exp
21×associate-*r*
14×div-exp
13×associate-/l*
12×pow1 cbrt-unprod
9×neg-mul-1
8×cbrt-undiv associate-/r* associate-/r/
4×expm1-log1p-u rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×distribute-lft-neg-out distribute-frac-neg
2×clear-num frac-2neg *-commutative unswap-sqr
1×neg-sub0 frac-times div-sub associate-*r/ un-div-inv pow-flip inv-pow
Counts
4 → 237
Calls
4 calls:
Slowest
47.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
28.0ms
(* (/ (- t1) (+ t1 u)) v)
18.0ms
(/ (- t1) (+ t1 u))
10.0ms
(/ 1 (+ t1 u))

series311.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
92.0ms
(* (/ (- t1) (+ t1 u)) v)
43.0ms
(/ (- t1) (+ t1 u))
36.0ms
(/ 1 (+ t1 u))

simplify799.0ms

Counts
249 → 249

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

7.5b
(cbrt (/ (- t1) (+ t1 u)))
7.5b
(cbrt (/ (- t1) (+ t1 u)))
7.5b
(cbrt (/ (- t1) (+ t1 u)))
2.3b
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) v)

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
138×cbrt-prod
134×*-un-lft-identity
120×times-frac
74×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
30×distribute-lft-out
15×cbrt-div
13×pow1 add-exp-log
12×neg-mul-1 associate-*l/
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
5×frac-times
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 associate-*r* associate-*r/ flip-+ div-inv
1×associate-*l* *-commutative
Counts
4 → 205
Calls
4 calls:
Slowest
192.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) v)
4.0ms
(cbrt (/ (- t1) (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
279.0ms
(cbrt (/ (- t1) (+ t1 u)))
278.0ms
(cbrt (/ (- t1) (+ t1 u)))
250.0ms
(cbrt (/ (- t1) (+ t1 u)))
211.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) v)

simplify1.4s

Counts
217 → 217

prune2.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (1.4b remaining)

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

bsearch14.2s

end0.0ms

sample1.1s

Algorithm
intervals
Results
776.0ms8274×body80valid