Details

Time bar (total: 21.7s)

sample32.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
7.0ms256×pre80true

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
85935
71234
6515
5299
4157
383
243
118
08

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize26.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
10.0b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite17.0ms

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:
12.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series57.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* (/ b a) (/ b a))
15.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.3s

Counts
88 → 88
Iterations
IterNodes
34359
21233
1392
0130

prune973.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 9.9b

localize32.0ms

Local error

Found 3 expressions with local error:

0.2b
(* b (/ b a))
6.7b
(/ (* b (/ b a)) a)
10.0b
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×add-cbrt-cube add-exp-log
14×*-un-lft-identity add-cube-cbrt
13×times-frac associate-*r*
6×pow1
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×associate-/r* associate-*l* sqrt-prod insert-posit16 add-log-exp
2×associate-*r/ div-inv unswap-sqr
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down *-commutative associate-/l* associate-/l/
Counts
3 → 72
Calls
3 calls:
17.0ms
(* b (/ b a))
21.0ms
(/ (* b (/ b a)) a)
2.0ms
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))

series97.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* b (/ b a))
33.0ms
(/ (* b (/ b a)) a)
22.0ms
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))

simplify2.9s

Counts
81 → 81
Iterations
IterNodes
35283
2948
1274
0116

prune845.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 9.8b

localize65.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (* b (/ b a)) a)
10.3b
(cbrt (fabs (- 1 (/ (* b (/ b a)) a))))
10.3b
(cbrt (fabs (- 1 (/ (* b (/ b a)) a))))
10.3b
(cbrt (fabs (- 1 (/ (* b (/ b a)) a))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 cbrt-undiv div-exp insert-posit16 add-log-exp
3×associate-/r* times-frac pow1/3
2×prod-exp cbrt-unprod
1×clear-num frac-2neg associate-*r/ div-inv associate-/l* associate-/l/
Counts
4 → 61
Calls
4 calls:
22.0ms
(/ (* b (/ b a)) a)
1.0ms
(cbrt (fabs (- 1 (/ (* b (/ b a)) a))))
1.0ms
(cbrt (fabs (- 1 (/ (* b (/ b a)) a))))
2.0ms
(cbrt (fabs (- 1 (/ (* b (/ b a)) a))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* b (/ b a)) a)
68.0ms
(cbrt (fabs (- 1 (/ (* b (/ b a)) a))))
86.0ms
(cbrt (fabs (- 1 (/ (* b (/ b a)) a))))
93.0ms
(cbrt (fabs (- 1 (/ (* b (/ b a)) a))))

simplify2.1s

Counts
73 → 73
Iterations
IterNodes
34480
2733
1194
078

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 9.8b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* b (/ b a))
6.7b
(/ (posit16->real (real->posit16 (* b (/ b a)))) a)
10.0b
(sqrt (fabs (- 1 (/ (posit16->real (real->posit16 (* b (/ b a)))) a))))
47.3b
(posit16->real (real->posit16 (* b (/ b a))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×times-frac
13×associate-*r*
11×add-cbrt-cube add-exp-log
7×pow1
4×insert-posit16 add-log-exp
3×associate-/r* associate-*l* sqrt-prod associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative remove-posit16
Counts
4 → 84
Calls
4 calls:
20.0ms
(* b (/ b a))
4.0ms
(/ (posit16->real (real->posit16 (* b (/ b a)))) a)
1.0ms
(sqrt (fabs (- 1 (/ (posit16->real (real->posit16 (* b (/ b a)))) a))))
0.0ms
(posit16->real (real->posit16 (* b (/ b a))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* b (/ b a))
35.0ms
(/ (posit16->real (real->posit16 (* b (/ b a)))) a)
13.0ms
(sqrt (fabs (- 1 (/ (posit16->real (real->posit16 (* b (/ b a)))) a))))
22.0ms
(posit16->real (real->posit16 (* b (/ b a))))

simplify1.5s

Counts
96 → 96
Iterations
IterNodes
33531
2871
1271
0128

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 9.8b

regimes166.0ms

Accuracy

0% (0.1b remaining)

Error of 7.5b against oracle of 7.4b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
18
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
905.0ms8000×body80valid
397.0ms8000×pre80true