Details

Time bar (total: 12.0s)

sample60.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
11.0ms256×pre80true

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done2002
62002
5808
4236
388
244
119
08

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
9.5b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite23.0ms

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:
20.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series54.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (/ b a) (/ b a))
13.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.6s

Counts
92 → 92
Iterations
IterNodes
done2001
32001
21310
1407
0134

prune797.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 9.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
9.5b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
14.0b
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
80×times-frac
61×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
19×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
1×cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2 pow1/3 pow3 rem-cbrt-cube
Counts
4 → 169
Calls
4 calls:
15.0ms
(* (/ b a) (/ b a))
13.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
4.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

series151.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (/ b a) (/ b a))
52.0ms
(* (/ b a) (/ b a))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
26.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

simplify1.4s

Counts
181 → 181
Iterations
IterNodes
done2008
32008
21407
1428
0146

prune2.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 9.5b

localize64.0ms

Local error

Found 4 expressions with local error:

9.5b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
9.5b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
9.5b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
14.0b
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (* (* (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))) (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
7×pow1 *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-prod pow1/3
Counts
4 → 60
Calls
4 calls:
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)))))
86.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (* (* (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))) (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
24.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
27.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (* (* (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))) (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))))

simplify1.5s

Counts
72 → 72
Iterations
IterNodes
done2005
62005
51727
4619
3263
2123
170
045

prune915.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 9.5b

regimes85.0ms

Accuracy

0% (0.0b remaining)

Error of 7.9b against oracle of 7.9b and baseline of 7.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
941.0ms8000×body80valid
411.0ms8000×pre80true