Details

Time bar (total: 8.7s)

sample53.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
6.0ms256×pre80true

simplify797.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
51561
4319
3100
247
118
08

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (- a (/ (* b b) a)) a)
5.2b
(sqrt (fabs (/ (- a (/ (* b b) a)) a)))
15.5b
(/ (* b b) a)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×*-un-lft-identity times-frac
17×add-cube-cbrt
10×add-cbrt-cube add-exp-log
8×difference-of-squares
7×associate-/l*
6×associate-/r*
4×pow1 distribute-lft-out--
3×cbrt-undiv div-exp sqrt-prod add-log-exp
2×clear-num frac-2neg div-inv associate-/l/
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 div-sub prod-exp cbrt-unprod flip--
Counts
3 → 76
Calls
3 calls:
24.0ms
(/ (- a (/ (* b b) a)) a)
1.0ms
(sqrt (fabs (/ (- a (/ (* b b) a)) a)))
11.0ms
(/ (* b b) a)

series143.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ (- a (/ (* b b) a)) a)
29.0ms
(sqrt (fabs (/ (- a (/ (* b b) a)) a)))
36.0ms
(/ (* b b) a)

simplify1.1s

Counts
85 → 85
Iterations
IterNodes
done5002
22051
1330
0132

prune443.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize22.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ b a) (/ b a))
5.2b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite50.0ms

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×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 → 80
Calls
2 calls:
41.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series84.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (/ b a) (/ b a))
34.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.8s

Counts
86 → 86
Iterations
IterNodes
done5001
22815
1412
0128

prune465.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 5.5b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b
(* b (/ b a))
5.2b
(sqrt (fabs (- 1 (* 1 (/ (* b (/ b a)) a)))))
6.1b
(/ (* b (/ b a)) a)

rewrite27.0ms

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 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 → 69
Calls
3 calls:
13.0ms
(* b (/ b a))
1.0ms
(sqrt (fabs (- 1 (* 1 (/ (* b (/ b a)) a)))))
10.0ms
(/ (* b (/ b a)) a)

series104.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* b (/ b a))
28.0ms
(sqrt (fabs (- 1 (* 1 (/ (* b (/ b a)) a)))))
55.0ms
(/ (* b (/ b a)) a)

simplify933.0ms

Counts
78 → 78
Iterations
IterNodes
done5001
21832
1301
0114

prune413.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 5.3b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- 1 (* 1 (/ (log (pow (exp b) (/ b a))) a)))))
0.7b
(log (pow (exp b) (/ b a)))
3.5b
(pow (exp b) (/ b a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
13×pow-unpow
9×times-frac
7×log-prod
6×unpow-prod-down
5×pow1
4×pow-pow add-exp-log
3×exp-prod add-cbrt-cube rem-log-exp sqrt-prod add-log-exp
2×pow-to-exp pow-exp sqr-pow
1×rem-sqrt-square sqrt-pow1 pow1/2 log-pow div-inv
Counts
3 → 61
Calls
3 calls:
1.0ms
(sqrt (fabs (- 1 (* 1 (/ (log (pow (exp b) (/ b a))) a)))))
3.0ms
(log (pow (exp b) (/ b a)))
5.0ms
(pow (exp b) (/ b a))

series90.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(sqrt (fabs (- 1 (* 1 (/ (log (pow (exp b) (/ b a))) a)))))
42.0ms
(log (pow (exp b) (/ b a)))
31.0ms
(pow (exp b) (/ b a))

simplify489.0ms

Counts
70 → 70
Iterations
IterNodes
done5001
21012
1269
0108

prune420.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 5.3b

regimes100.0ms

Accuracy

0% (0.3b remaining)

Error of 8.1b against oracle of 7.7b and baseline of 8.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample999.0ms

Algorithm
intervals
Results
557.0ms8000×body80valid
157.0ms8000×pre80true