Details

Time bar (total: 20.6s)

sample38.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
8.0ms256×pre80true

simplify7.9s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:
27.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series53.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (/ b a) (/ b a))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.0s

Counts
92 → 92
Iterations
IterNodes
34437
21250
1398
0134

prune342.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 9.5b

localize18.0ms

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)))))))

rewrite42.0ms

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:
13.0ms
(* (/ b a) (/ b a))
17.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
7.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (/ b a) (/ b a))
50.0ms
(* (/ b a) (/ b a))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
15.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

simplify2.9s

Counts
181 → 181
Iterations
IterNodes
34630
21360
1419
0146

prune956.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 9.5b

localize33.0ms

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)))))))))

rewrite63.0ms

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:
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
59.0ms
(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)))))))))

series71.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
15.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
19.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
17.0ms
(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)))))))))

simplify4.0s

Counts
72 → 72
Iterations
IterNodes
65066
51775
4627
3263
2115
168
045

prune360.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 9.5b

regimes65.0ms

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
18
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
973.0ms8000×body80valid
382.0ms8000×pre80true