Details

Time bar (total: 17.1s)

sample50.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
12.0ms256×pre80true

simplify301.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
301.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
Slowest
13.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series45.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
32.0ms
(* (/ b a) (/ b a))
13.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify3.4s

Counts
86 → 92
Calls
86 calls:
Slowest
433.0ms
(* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
265.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a)))
171.0ms
(* (/ (* (cbrt b) (cbrt b)) (sqrt a)) (/ (* (cbrt b) (cbrt b)) (sqrt a)))
168.0ms
(* (/ (* (* b b) b) (* (* a a) a)) (* (* (/ b a) (/ b a)) (/ b a)))
152.0ms
(* (/ (* (* b b) b) (* (* a a) a)) (/ (* (* b b) b) (* (* a a) a)))

prune893.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 9.0b

localize20.0ms

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))

rewrite62.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 168
Calls
4 calls:
Slowest
31.0ms
(* (/ b a) (/ b a))
24.0ms
(* (/ b a) (/ b a))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

series205.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
73.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
73.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
33.0ms
(* (/ b a) (/ b a))
26.0ms
(* (/ b a) (/ b a))

simplify8.1s

Counts
168 → 180
Calls
168 calls:
Slowest
451.0ms
(* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
434.0ms
(* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
381.0ms
(pow (fabs (- 1 (/ (pow b 2) (pow a 2)))) 1/3)
361.0ms
(pow (fabs (- 1 (/ (pow b 2) (pow a 2)))) 1/3)
347.0ms
(pow (fabs (- 1 (/ (pow b 2) (pow a 2)))) 1/3)

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 9.0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
876.0ms8000×body80valid
397.0ms8000×pre80true