Details

Time bar (total: 17.1s)

sample55.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
13.0ms256×pre80true

simplify279.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
279.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.0b

localize15.0ms

Local error

Found 2 expressions with local error:

9.0b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))

rewrite28.0ms

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×insert-posit16 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 → 82
Calls
2 calls:
Slowest
24.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series49.0ms

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

simplify3.7s

Counts
86 → 88
Calls
86 calls:
Slowest
446.0ms
(* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
223.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a)))
180.0ms
(* (/ (* (* b b) b) (* (* a a) a)) (/ (* (* b b) b) (* (* a a) a)))
175.0ms
(* (/ (* (* b b) b) (* (* a a) a)) (* (* (/ b a) (/ b a)) (/ b a)))
147.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (/ (* (* b b) b) (* (* a a) a)))

prune866.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 9.0b

localize39.0ms

Local error

Found 4 expressions with local error:

9.3b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
9.3b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
80×times-frac
62×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
18×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
6×cbrt-prod
4×insert-posit16 add-log-exp
2×pow2 frac-times pow-plus pow1/3 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 160
Calls
4 calls:
Slowest
21.0ms
(* (/ b a) (/ b a))
21.0ms
(* (/ b a) (/ b a))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
86.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
68.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
34.0ms
(* (/ b a) (/ b a))
30.0ms
(* (/ b a) (/ b a))

simplify7.6s

Counts
168 → 172
Calls
168 calls:
Slowest
434.0ms
(* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
366.0ms
(* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
364.0ms
(pow (fabs (- 1 (/ (pow b 2) (pow a 2)))) 1/3)
359.0ms
(pow (fabs (- 1 (/ (pow b 2) (pow a 2)))) 1/3)
291.0ms
(pow (fabs (- 1 (/ (pow b 2) (pow a 2)))) 1/3)

prune2.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 9.0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 7.6b against oracle of 7.6b and baseline of 7.6b

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
841.0ms8000×pre80true
795.0ms8000×body80valid