Details

Time bar (total: 16.7s)

sample56.0ms

Algorithm
intervals
Results
30.0ms256×body80valid
12.0ms256×pre80true

simplify1.7s

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize13.0ms

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)))))

rewrite26.0ms

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 insert-posit16
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 → 97
Calls
3 calls:
9.0ms
(- 1 (* (/ b a) (/ b a)))
13.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series128.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- 1 (* (/ b a) (/ b a)))
51.0ms
(* (/ b a) (/ b a))
24.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.4s

Counts
106 → 106
Iterations
IterNodes
done5000
21395
1473
0154

prune547.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 8.3b

localize25.0ms

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)))))))

rewrite135.0ms

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×insert-posit16 add-log-exp
3×rem-square-sqrt *-commutative
1×rem-sqrt-square
Counts
4 → 327
Calls
4 calls:
86.0ms
(* (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a))))
21.0ms
(* (sqrt (/ b a)) (sqrt (/ b a)))
15.0ms
(* (sqrt (/ b a)) (sqrt (/ b a)))
1.0ms
(sqrt (fabs (- 1 (* (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a)))))))

series66.0ms

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

simplify2.6s

Counts
339 → 339
Iterations
IterNodes
done5001
33522
21276
1628
0244

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 8.2b

localize46.0ms

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)))))

rewrite36.0ms

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×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 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 → 110
Calls
4 calls:
27.0ms
(* (/ 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)))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (/ b a) (/ b a))
13.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
25.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.6s

Counts
122 → 122
Iterations
IterNodes
done5002
34058
21294
1401
0130

prune739.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 8.2b

localize22.0ms

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))))

rewrite80.0ms

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×insert-posit16 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 → 191
Calls
4 calls:
13.0ms
(* (/ b a) (/ b a))
27.0ms
(* (/ b a) (/ b a))
2.0ms
(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))))

series235.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (/ b a) (/ b a))
41.0ms
(* (/ b a) (/ b a))
20.0ms
(sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))))
126.0ms
(/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))

simplify2.7s

Counts
203 → 203
Iterations
IterNodes
done5001
22091
1624
0216

prune923.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 8.2b

regimes117.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample1.3s

Algorithm
intervals
Results
811.0ms8000×body80valid
312.0ms8000×pre80true