Details

Time bar (total: 19.9s)

sample42.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
10.0ms256×pre80true

simplify2.2s

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1 (* (/ b a) (/ b a)))
0.4b
(* (/ b a) (/ b a))
8.3b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite49.0ms

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 insert-posit16 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 → 109
Calls
3 calls:
10.0ms
(- 1 (* (/ b a) (/ b a)))
33.0ms
(* (/ b a) (/ b a))
3.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series111.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- 1 (* (/ b a) (/ b a)))
27.0ms
(* (/ b a) (/ b a))
22.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify3.7s

Counts
118 → 118
Iterations
IterNodes
done5000
34909
21597
1496
0167

prune515.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 8.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a))))
0.5b
(* (sqrt (/ b a)) (sqrt (/ b a)))
0.5b
(* (sqrt (/ b a)) (sqrt (/ b a)))
8.3b
(sqrt (fabs (- 1 (* (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a)))))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
258×pow1
150×pow-prod-up
135×sqrt-prod
129×sqrt-pow1 pow1/2
126×add-sqr-sqrt
84×times-frac
69×*-un-lft-identity add-cube-cbrt
68×pow-sqr
53×pow-prod-down
40×sqrt-div
37×swap-sqr
33×associate-*r* associate-*l*
20×pow-plus add-cbrt-cube add-exp-log
19×frac-times unswap-sqr
15×pow2
13×associate-*l/ associate-*r/
10×prod-exp cbrt-unprod
8×div-inv
7×sqrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rem-square-sqrt *-commutative
1×rem-sqrt-square
Counts
4 → 335
Calls
4 calls:
79.0ms
(* (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a))))
16.0ms
(* (sqrt (/ b a)) (sqrt (/ b a)))
30.0ms
(* (sqrt (/ b a)) (sqrt (/ b a)))
2.0ms
(sqrt (fabs (- 1 (* (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a)))))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a))))
11.0ms
(* (sqrt (/ b a)) (sqrt (/ b a)))
11.0ms
(* (sqrt (/ b a)) (sqrt (/ b a)))
22.0ms
(sqrt (fabs (- 1 (* (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a)))))))

simplify3.0s

Counts
347 → 347
Iterations
IterNodes
done5041
34201
21187
1654
0250

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 8.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
8.3b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
8.3b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
8.3b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
14×pow1
13×swap-sqr associate-*r* associate-*l*
9×sqrt-prod
4×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
3×rem-sqrt-square sqrt-pow1 pow1/2
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 118
Calls
4 calls:
26.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ b a) (/ b a))
15.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
14.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
13.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.8s

Counts
130 → 130
Iterations
IterNodes
done5001
34044
21310
1407
0134

prune690.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 8.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
8.3b
(sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))))
18.3b
(/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))

rewrite84.0ms

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 insert-posit16 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 → 199
Calls
4 calls:
21.0ms
(* (/ b a) (/ b a))
13.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))))
43.0ms
(/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (/ b a) (/ b a))
47.0ms
(* (/ b a) (/ b a))
19.0ms
(sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))))
105.0ms
(/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))

simplify3.1s

Counts
211 → 211
Iterations
IterNodes
done5001
22092
1640
0222

prune872.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 8.2b

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 7.3b against oracle of 7.3b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample953.0ms

Algorithm
intervals
Results
559.0ms8000×body80valid
251.0ms8000×pre80true