Details

Time bar (total: 13.8s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms256×pre80true

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5004
62324
5753
4228
385
243
118
08

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize20.0ms

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)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×times-frac
33×*-un-lft-identity
32×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×sqrt-prod
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 → 94
Calls
3 calls:
4.0ms
(- 1 (* (/ b a) (/ b a)))
26.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series110.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- 1 (* (/ b a) (/ b a)))
38.0ms
(* (/ b a) (/ b a))
17.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.6s

Counts
103 → 103
Iterations
IterNodes
done5000
21579
1470
0151

prune422.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 7.8b

localize21.0ms

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))))))

rewrite113.0ms

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×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 → 307
Calls
4 calls:
74.0ms
(* (/ (/ b a) (sqrt a)) (/ b (sqrt a)))
9.0ms
(/ b (sqrt a))
15.0ms
(/ (/ b a) (sqrt a))
1.0ms
(sqrt (fabs (- 1 (* (/ (/ b a) (sqrt a)) (/ b (sqrt a))))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (/ (/ b a) (sqrt a)) (/ b (sqrt a)))
407.0ms
(/ b (sqrt a))
67.0ms
(/ (/ b a) (sqrt a))
23.0ms
(sqrt (fabs (- 1 (* (/ (/ b a) (sqrt a)) (/ b (sqrt a))))))

simplify2.5s

Counts
319 → 319
Iterations
IterNodes
done5003
23955
11141
0385

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 7.8b

localize33.0ms

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))))

rewrite99.0ms

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×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 → 187
Calls
4 calls:
30.0ms
(* (/ b a) (/ b a))
22.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))))
33.0ms
(/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))

series244.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (/ b a) (/ b a))
50.0ms
(* (/ b a) (/ b a))
42.0ms
(sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))))
114.0ms
(/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))

simplify2.4s

Counts
199 → 199
Iterations
IterNodes
done5000
22062
1627
0213

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 7.8b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample892.0ms

Algorithm
intervals
Results
508.0ms8000×body80valid
188.0ms8000×pre80true