Details

Time bar (total: 39.4s)

sample43.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
5.0ms256×pre80true

simplify4.4s

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize34.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
8.1b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite67.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 86
Calls
2 calls:
43.0ms
(* (/ b a) (/ b a))
5.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series138.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (/ b a) (/ b a))
78.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify8.1s

Counts
92 → 92
Iterations
IterNodes
done5003
33881
21386
1409
0134

prune968.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 8.5b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ b a))
0.2b
(* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a)))
0.3b
(* (/ b a) (sqrt (/ b a)))
8.1b
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a))))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
46×sqrt-prod
42×times-frac
35×*-un-lft-identity add-cube-cbrt
32×associate-*r*
25×pow1
18×add-cbrt-cube add-exp-log
14×associate-*l*
11×sqrt-div pow-prod-up
7×sqrt-pow1 pow1/2 prod-exp cbrt-unprod
6×frac-times associate-*l/ unswap-sqr
4×expm1-log1p-u pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rem-sqrt-square pow3
2×cbrt-undiv div-exp *-commutative
1×pow-plus
Counts
4 → 150
Calls
4 calls:
13.0ms
(sqrt (/ b a))
123.0ms
(* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a)))
60.0ms
(* (/ b a) (sqrt (/ b a)))
3.0ms
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a))))))

series431.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (/ b a))
66.0ms
(* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a)))
211.0ms
(* (/ b a) (sqrt (/ b a)))
71.0ms
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a))))))

simplify5.0s

Counts
162 → 162
Iterations
IterNodes
done5008
22000
1522
0210

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 8.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
8.4b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
8.4b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite141.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 168
Calls
4 calls:
62.0ms
(* (/ b a) (/ b a))
45.0ms
(* (/ b a) (/ b a))
2.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
2.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

series542.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (/ b a) (/ b a))
66.0ms
(* (/ b a) (/ b a))
213.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
209.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify7.4s

Counts
180 → 180
Iterations
IterNodes
done5004
33835
21302
1409
0133

prune2.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 8.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (/ b a) (sqrt (/ b a))) (posit16->real (real->posit16 (sqrt (/ b a)))))
0.3b
(* (/ b a) (sqrt (/ b a)))
8.1b
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (posit16->real (real->posit16 (sqrt (/ b a))))))))
57.3b
(posit16->real (real->posit16 (sqrt (/ b a))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
23×times-frac
21×*-un-lft-identity add-cube-cbrt
20×sqrt-prod
19×associate-*r*
18×add-cbrt-cube add-exp-log
15×pow1
14×associate-*l*
7×prod-exp cbrt-unprod
6×unswap-sqr
5×associate-*l/
4×expm1-log1p-u sqrt-div pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×frac-times cbrt-undiv sqrt-pow1 pow1/2 div-exp associate-*r/ *-commutative pow-prod-up div-inv
1×rem-sqrt-square pow3 remove-posit16
Counts
4 → 110
Calls
4 calls:
99.0ms
(* (* (/ b a) (sqrt (/ b a))) (posit16->real (real->posit16 (sqrt (/ b a)))))
40.0ms
(* (/ b a) (sqrt (/ b a)))
3.0ms
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (posit16->real (real->posit16 (sqrt (/ b a))))))))
1.0ms
(posit16->real (real->posit16 (sqrt (/ b a))))

series483.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (* (/ b a) (sqrt (/ b a))) (posit16->real (real->posit16 (sqrt (/ b a)))))
258.0ms
(* (/ b a) (sqrt (/ b a)))
60.0ms
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (posit16->real (real->posit16 (sqrt (/ b a))))))))
83.0ms
(posit16->real (real->posit16 (sqrt (/ b a))))

simplify3.8s

Counts
122 → 122
Iterations
IterNodes
done5000
21292
1453
0188

prune1.9s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 8.0b

regimes591.0ms

Accuracy

0% (0.5b remaining)

Error of 7.7b against oracle of 7.2b and baseline of 7.7b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample938.0ms

Algorithm
intervals
Results
496.0ms8000×body80valid
155.0ms8000×pre80true