Details

Time bar (total: 32.6s)

sample222.0ms

Algorithm
intervals
Results
39.0ms261×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
124343
111059
10528
9362
8308
7274
6264
5221
4188
3122
263
125
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.9b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite72.0ms

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×insert-posit16 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 → 72
Calls
2 calls:
42.0ms
(* (+ t1 u) (+ t1 u))
25.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (+ t1 u) (+ t1 u))
118.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify6.9s

Counts
78 → 78
Iterations
IterNodes
314728
21969
1413
0114

prune719.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ v (+ t1 u))
1.7b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
68×times-frac
54×add-sqr-sqrt
46×associate-*l*
42×add-cube-cbrt
18×associate-*r*
17×distribute-lft-out
16×add-cbrt-cube add-exp-log
12×distribute-lft-neg-in distribute-rgt-neg-in
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 associate-/r* neg-mul-1 prod-exp cbrt-unprod unswap-sqr
3×flip3-+ flip-+ div-inv associate-/l*
2×insert-posit16 add-log-exp
1×distribute-lft-neg-out frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative
Counts
2 → 124
Calls
2 calls:
16.0ms
(/ v (+ t1 u))
36.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series209.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ v (+ t1 u))
176.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.4s

Counts
130 → 130
Iterations
IterNodes
36338
21668
1511
0173

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.5b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
6.8b
(* (- t1) (/ v (+ t1 u)))

rewrite63.0ms

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 distribute-rgt-neg-in flip3-+ flip-+ insert-posit16 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 → 110
Calls
3 calls:
10.0ms
(/ v (+ t1 u))
19.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
31.0ms
(* (- t1) (/ v (+ t1 u)))

series218.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ v (+ t1 u))
104.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
83.0ms
(* (- t1) (/ v (+ t1 u)))

simplify2.2s

Counts
119 → 119
Iterations
IterNodes
35918
21283
1395
0139

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ u t1) (- v))
0.5b
(/ (/ t1 (/ (+ u t1) (- v))) (+ t1 u))
7.3b
(/ t1 (/ (+ u t1) (- v)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
2140×times-frac
1552×*-un-lft-identity
874×add-sqr-sqrt add-cube-cbrt
339×distribute-lft-out
243×distribute-lft-neg-in distribute-rgt-neg-in
144×associate-/l*
81×neg-mul-1
58×associate-/r*
27×div-inv
19×add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
8×associate-/r/
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
2×flip3-+ flip-+
Counts
3 → 973
Calls
3 calls:
26.0ms
(/ (+ u t1) (- v))
28.0ms
(/ (/ t1 (/ (+ u t1) (- v))) (+ t1 u))
12.0ms
(/ t1 (/ (+ u t1) (- v)))

series340.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (+ u t1) (- v))
160.0ms
(/ (/ t1 (/ (+ u t1) (- v))) (+ t1 u))
131.0ms
(/ t1 (/ (+ u t1) (- v)))

simplify1.4s

Counts
982 → 982
Iterations
IterNodes
12586
0991

prune10.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
19
09

end0.0ms

sample1.5s

Algorithm
intervals
Results
853.0ms8258×body80valid