Details

Time bar (total: 16.3s)

sample40.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
6.0ms256×pre80true

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5216
62493
5808
4236
388
244
119
08

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1 (* (/ b a) (/ b a)))
0.3b
(* (/ b a) (/ b a))
7.4b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity
34×add-cube-cbrt
15×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
11×pow1
5×add-log-exp
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
3×expm1-log1p-u fma-neg prod-diff sqrt-prod log1p-expm1-u
2×difference-of-squares
1×pow2 frac-times rem-sqrt-square sub-neg sqrt-pow1 pow-plus flip3-- pow1/2 diff-log pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up flip--
Counts
3 → 106
Calls
3 calls:
10.0ms
(- 1 (* (/ b a) (/ b a)))
35.0ms
(* (/ b a) (/ b a))
3.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series126.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- 1 (* (/ b a) (/ b a)))
39.0ms
(* (/ b a) (/ b a))
30.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify3.5s

Counts
115 → 115
Iterations
IterNodes
done5000
34943
21650
1493
0164

prune598.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 7.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (/ b a) (sqrt a)) (/ b (sqrt a)))
0.3b
(/ b (sqrt a))
0.3b
(/ (/ b a) (sqrt a))
7.4b
(sqrt (fabs (- 1 (* (/ (/ b a) (sqrt a)) (/ b (sqrt a))))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
337×times-frac
238×add-sqr-sqrt
179×*-un-lft-identity add-cube-cbrt
116×sqrt-prod
82×associate-*l*
32×add-cbrt-cube add-exp-log
22×associate-*r*
17×div-inv
16×associate-/l*
15×unswap-sqr
13×cbrt-undiv div-exp
12×associate-/r*
7×pow1
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 315
Calls
4 calls:
84.0ms
(* (/ (/ b a) (sqrt a)) (/ b (sqrt a)))
10.0ms
(/ b (sqrt a))
11.0ms
(/ (/ b a) (sqrt a))
1.0ms
(sqrt (fabs (- 1 (* (/ (/ b a) (sqrt a)) (/ b (sqrt a))))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (/ (/ b a) (sqrt a)) (/ b (sqrt a)))
67.0ms
(/ b (sqrt a))
84.0ms
(/ (/ b a) (sqrt a))
32.0ms
(sqrt (fabs (- 1 (* (/ (/ b a) (sqrt a)) (/ b (sqrt a))))))

simplify2.3s

Counts
327 → 327
Iterations
IterNodes
done5006
24151
11171
0393

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 7.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ b a) (/ b a))
0.3b
(* (/ b a) (/ b a))
7.4b
(sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))))
15.9b
(/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
100×add-sqr-sqrt
95×times-frac
75×*-un-lft-identity
71×add-cube-cbrt
30×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
19×pow1
9×cbrt-undiv div-exp div-inv
8×prod-exp cbrt-unprod difference-of-squares unswap-sqr
5×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* sqrt-prod
2×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ associate-/r/ pow-sqr *-commutative pow-prod-up associate-/l/
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 flip3-+ flip3-- pow1/2 div-sub flip-+ flip--
Counts
4 → 195
Calls
4 calls:
19.0ms
(* (/ b a) (/ b a))
33.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))))
38.0ms
(/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (/ b a) (/ b a))
48.0ms
(* (/ b a) (/ b a))
45.0ms
(sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))))
116.0ms
(/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))

simplify2.4s

Counts
207 → 207
Iterations
IterNodes
done5000
22111
1637
0219

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 7.8b

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 8.2b against oracle of 8.2b and baseline of 8.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample889.0ms

Algorithm
intervals
Results
464.0ms8000×body80valid
230.0ms8000×pre80true