Details

Time bar (total: 34.9s)

sample33.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
6.0ms256×pre80true

simplify270.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
270.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize13.0ms

Local error

Found 2 expressions with local error:

13.6b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite49.0ms

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
32.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
16.0ms
(* 4 (* i i))

series149.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
114.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
35.0ms
(* 4 (* i i))

simplify8.9s

Counts
56 → 54
Calls
56 calls:
Slowest
643.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
581.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
481.0ms
(* (* (* 4 (* i i)) (* 4 (* i i))) (* 4 (* i i)))
455.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
359.0ms
(log (/ (* i i) (* (- (* 4 (* i i)) 1.0) 4)))

prune381.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (fma (/ 1.0 (* i i)) -4 16))
0.2b
(/ 1.0 (* i i))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
11×add-exp-log
9×add-cbrt-cube
6×associate-/l*
4×associate-/r* div-exp
3×pow1 cbrt-undiv
2×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv add-log-exp
1×rec-exp 1-exp prod-exp cbrt-unprod pow-flip inv-pow
Counts
2 → 58
Calls
2 calls:
Slowest
12.0ms
(/ 1.0 (* i i))
9.0ms
(/ 1 (fma (/ 1.0 (* i i)) -4 16))

series465.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
396.0ms
(/ 1.0 (* i i))
69.0ms
(/ 1 (fma (/ 1.0 (* i i)) -4 16))

simplify5.7s

Counts
77 → 64
Calls
77 calls:
Slowest
368.0ms
(/ (* (* 1.0 1.0) 1.0) (* (* (* i i) (* i i)) (* i i)))
322.0ms
(* (* (/ 1 (fma (/ 1.0 (* i i)) -4 16)) (/ 1 (fma (/ 1.0 (* i i)) -4 16))) (/ 1 (fma (/ 1.0 (* i i)) -4 16)))
302.0ms
(/ (* (* 1.0 1.0) 1.0) (* (* (* i i) i) (* (* i i) i)))
273.0ms
(/ (* (* 1 1) 1) (* (* (fma (/ 1.0 (* i i)) -4 16) (fma (/ 1.0 (* i i)) -4 16)) (fma (/ 1.0 (* i i)) -4 16)))
238.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))

prune494.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

13.2b
(/ i (- (* 4 (* i i)) 1.0))
0.1b
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
0.0b
(* 4 (* i i))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
26×*-un-lft-identity add-cube-cbrt
22×add-cbrt-cube add-exp-log
18×associate-*l*
14×associate-*r*
10×pow1
7×prod-exp cbrt-unprod
5×cbrt-undiv div-exp unswap-sqr
4×pow-prod-down associate-/r/
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
2×flip3-- *-commutative flip--
1×frac-times clear-num frac-2neg associate-*l/ associate-*r/
Counts
3 → 109
Calls
3 calls:
Slowest
104.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
28.0ms
(* 4 (* i i))
27.0ms
(/ i (- (* 4 (* i i)) 1.0))

series272.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
147.0ms
(/ i (- (* 4 (* i i)) 1.0))
91.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
33.0ms
(* 4 (* i i))

simplify15.2s

Counts
132 → 118
Calls
132 calls:
Slowest
474.0ms
(* (* (* 4 (* i i)) (* 4 (* i i))) (* 4 (* i i)))
406.0ms
(* (+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0))) (/ i 4))
394.0ms
(+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 (pow i 3))) (* 1/4 (/ 1 i))))
356.0ms
(* (/ 1 (- (* 4 (* i i)) 1.0)) (/ i 4))
354.0ms
(log (* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4)))

prune854.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.3b remaining)

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

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s8000×body80valid
245.0ms8000×pre80true