Details

Time bar (total: 20.5s)

sample35.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
7.0ms256×pre80true

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
85093
71204
6512
5299
4159
385
243
118
08

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
8.6b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×times-frac
31×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
10×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
3×sqrt-prod
2×insert-posit16 add-log-exp
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
2 → 82
Calls
2 calls:
16.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series58.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (/ b a) (/ b a))
21.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.9s

Counts
88 → 88
Iterations
IterNodes
34268
21217
1393
0130

prune914.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 8.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
8.6b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
8.6b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt
80×times-frac
62×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
20×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
6×sqrt-prod
4×insert-posit16 add-log-exp
2×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 164
Calls
4 calls:
19.0ms
(* (/ b a) (/ b a))
13.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series137.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (/ b a) (/ b a))
46.0ms
(* (/ b a) (/ b a))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
24.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.0s

Counts
176 → 176
Iterations
IterNodes
34268
21217
1393
0130

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 8.5b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
8.8b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
8.8b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
80×times-frac
62×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
18×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
6×cbrt-prod
4×insert-posit16 add-log-exp
2×pow2 frac-times pow-plus pow1/3 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 160
Calls
4 calls:
15.0ms
(* (/ b a) (/ b a))
13.0ms
(* (/ b a) (/ b a))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ b a) (/ b a))
43.0ms
(* (/ b a) (/ b a))
54.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
91.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.9s

Counts
172 → 172
Iterations
IterNodes
34380
21261
1401
0129

prune2.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 8.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt b) a)
0.3b
(* (/ (sqrt b) a) (/ b a))
1.9b
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
8.6b
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
73×add-sqr-sqrt
70×times-frac
59×add-cbrt-cube
53×*-un-lft-identity add-cube-cbrt
44×associate-*l*
35×sqrt-prod
31×prod-exp
27×div-exp
22×cbrt-unprod
18×cbrt-undiv
14×associate-*r*
12×pow1
6×frac-times associate-*r/ associate-/l* unswap-sqr
5×1-exp
4×pow-prod-down associate-*l/ insert-posit16 div-inv add-log-exp
3×associate-/r*
2×*-commutative
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
Counts
4 → 182
Calls
4 calls:
5.0ms
(/ (sqrt b) a)
17.0ms
(* (/ (sqrt b) a) (/ b a))
36.0ms
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
5.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

series262.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (sqrt b) a)
88.0ms
(* (/ (sqrt b) a) (/ b a))
51.0ms
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
18.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

simplify810.0ms

Counts
194 → 194
Iterations
IterNodes
22535
1868
0284

prune2.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 8.5b

regimes116.0ms

Accuracy

0% (0.0b remaining)

Error of 7.5b against oracle of 7.5b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
210
110
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
881.0ms8000×body80valid
324.0ms8000×pre80true