Details

Time bar (total: 19.6s)

sample71.0ms

Algorithm
intervals
Results
44.0ms256×body80valid
10.0ms256×pre80true

simplify287.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
287.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize13.0ms

Local error

Found 2 expressions with local error:

18.5b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
7×pow1 prod-exp cbrt-unprod
4×add-sqr-sqrt cbrt-undiv div-exp
3×*-un-lft-identity associate-*l* pow-prod-down add-cube-cbrt
2×expm1-log1p-u associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num associate-/r* frac-2neg times-frac flip3-- associate-*r* *-commutative div-inv flip-- associate-/l* unswap-sqr
Counts
2 → 48
Calls
2 calls:
Slowest
55.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
18.0ms
(* 4 (* i i))

series164.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
129.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
35.0ms
(* 4 (* i i))

simplify8.6s

Counts
56 → 54
Calls
56 calls:
Slowest
590.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
551.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
524.0ms
(* (* (* 4 (* i i)) (* 4 (* i i))) (* 4 (* i i)))
383.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
371.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune479.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.6b
(/ 1.0 (* i i))
0.4b
(/ 1 (fma (/ 1.0 (* i i)) -4 16))
0.0b
(fma (/ 1.0 (* i i)) -4 16)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac add-exp-log
10×add-cbrt-cube
6×associate-/l*
4×pow1 associate-/r* div-exp
3×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg div-inv
1×rec-exp 1-exp prod-exp cbrt-unprod fma-udef pow-flip inv-pow
Counts
3 → 69
Calls
3 calls:
Slowest
13.0ms
(/ 1.0 (* i i))
8.0ms
(/ 1 (fma (/ 1.0 (* i i)) -4 16))
0.0ms
(fma (/ 1.0 (* i i)) -4 16)

series184.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
87.0ms
(/ 1 (fma (/ 1.0 (* i i)) -4 16))
68.0ms
(fma (/ 1.0 (* i i)) -4 16)
29.0ms
(/ 1.0 (* i i))

simplify7.3s

Counts
91 → 78
Calls
91 calls:
Slowest
438.0ms
(/ (* (* 1.0 1.0) 1.0) (* (* (* i i) (* i i)) (* i i)))
360.0ms
(/ (* (* 1.0 1.0) 1.0) (* (* (* i i) i) (* (* i i) i)))
264.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))
251.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
241.0ms
(* (* (/ 1 (fma (/ 1.0 (* i i)) -4 16)) (/ 1 (fma (/ 1.0 (* i i)) -4 16))) (/ 1 (fma (/ 1.0 (* i i)) -4 16)))

prune582.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch2.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s8000×body80valid
211.0ms8000×pre80true