Details

Time bar (total: 15.4s)

sample54.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
18.0ms256×pre80true

simplify8.2s

Counts
1 → 1
Iterations
IterNodes
86442
71455
6631
5341
4166
386
244
119
08

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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 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 → 84
Calls
2 calls:
22.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series48.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (/ b a) (/ b a))
20.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.9s

Counts
90 → 90
Iterations
IterNodes
34173
21234
1396
0132

prune948.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 8.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt b) a)
0.3b
(* (* (sqrt b) (/ b a)) (/ (sqrt b) a))
0.4b
(* (sqrt b) (/ b a))
8.1b
(sqrt (fabs (- 1 (* (* (sqrt b) (/ b a)) (/ (sqrt b) a)))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
47×times-frac
42×*-un-lft-identity add-cube-cbrt
35×associate-*r*
32×add-cbrt-cube add-exp-log
29×sqrt-prod
12×pow1 prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×associate-/l*
4×expm1-log1p-u pow-prod-down associate-*r/ log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r* div-inv
2×*-commutative
1×frac-times rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-*l/
Counts
4 → 145
Calls
4 calls:
4.0ms
(/ (sqrt b) a)
45.0ms
(* (* (sqrt b) (/ b a)) (/ (sqrt b) a))
19.0ms
(* (sqrt b) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (* (sqrt b) (/ b a)) (/ (sqrt b) a)))))

series264.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ (sqrt b) a)
53.0ms
(* (* (sqrt b) (/ b a)) (/ (sqrt b) a))
111.0ms
(* (sqrt b) (/ b a))
14.0ms
(sqrt (fabs (- 1 (* (* (sqrt b) (/ b a)) (/ (sqrt b) a)))))

simplify685.0ms

Counts
157 → 157
Iterations
IterNodes
22138
1637
0232

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 8.0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
18
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
909.0ms8000×body80valid
297.0ms8000×pre80true