Details

Time bar (total: 1.8m)

sample39.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
7.0ms256×pre80true

simplify288.0ms

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: 15.8b

localize13.0ms

Local error

Found 3 expressions with local error:

15.8b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))
0.0b
(- (* 4 (* i i)) 1.0)

rewrite575.0ms

Algorithm
rewrite-expression-head
Rules
641×add-sqr-sqrt
300×times-frac
286×*-un-lft-identity associate-*l*
218×add-cube-cbrt
201×associate-*r*
174×unswap-sqr
102×difference-of-squares
100×swap-sqr
84×prod-diff
69×*-commutative
34×distribute-lft-out--
28×fma-neg
20×associate-/r* add-cbrt-cube add-exp-log
15×associate-/l*
8×pow1
7×prod-exp cbrt-unprod
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u
2×flip3-- associate-*l/ associate-/r/ flip--
1×clear-num sub-neg frac-2neg diff-log div-inv
Calls
3 calls:
Slowest
390.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
122.0ms
(- (* 4 (* i i)) 1.0)
36.0ms
(* 4 (* i i))

series250.0ms

Calls
3 calls:
Slowest
124.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
92.0ms
(- (* 4 (* i i)) 1.0)
34.0ms
(* 4 (* i i))

simplify1.1m

Calls
886 calls:
Slowest
645.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
634.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
555.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
525.0ms
(/ (* i (* (cbrt i) (cbrt i))) (* (sqrt (- (* 4 (* i i)) 1.0)) (sqrt 4)))
481.0ms
(/ (* i 1) (* (- (* 4 (* i i)) 1.0) (* (cbrt 4) (cbrt 4))))

prune3.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ i (fma i 2 (sqrt 1.0))) (/ i (fma -4 (sqrt 1.0) (* 8 i))))
0.0b
(/ i (fma -4 (sqrt 1.0) (* 8 i)))
0.0b
(/ i (fma i 2 (sqrt 1.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt
81×frac-times
74×*-un-lft-identity
73×add-cube-cbrt
67×associate-/l*
66×associate-/r*
40×times-frac
23×clear-num
22×frac-2neg
19×add-cbrt-cube add-exp-log
13×associate-*r* associate-*l*
9×associate-*l/ associate-*r/
6×cbrt-undiv div-exp
5×pow1
4×prod-exp cbrt-unprod div-inv unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×un-div-inv
1×pow-prod-down *-commutative
Calls
3 calls:
Slowest
31.0ms
(* (/ i (fma i 2 (sqrt 1.0))) (/ i (fma -4 (sqrt 1.0) (* 8 i))))
8.0ms
(/ i (fma -4 (sqrt 1.0) (* 8 i)))
7.0ms
(/ i (fma i 2 (sqrt 1.0)))

series539.0ms

Calls
3 calls:
Slowest
266.0ms
(* (/ i (fma i 2 (sqrt 1.0))) (/ i (fma -4 (sqrt 1.0) (* 8 i))))
152.0ms
(/ i (fma -4 (sqrt 1.0) (* 8 i)))
121.0ms
(/ i (fma i 2 (sqrt 1.0)))

simplify29.1s

Calls
282 calls:
Slowest
760.0ms
(* (* (* (/ i (fma i 2 (sqrt 1.0))) (/ i (fma i 2 (sqrt 1.0)))) (/ i (fma i 2 (sqrt 1.0)))) (* (* (/ i (fma -4 (sqrt 1.0) (* 8 i))) (/ i (fma -4 (sqrt 1.0) (* 8 i)))) (/ i (fma -4 (sqrt 1.0) (* 8 i)))))
659.0ms
(+ (- (log i) (log (fma i 2 (sqrt 1.0)))) (- (log i) (log (fma -4 (sqrt 1.0) (* 8 i)))))
438.0ms
(* (/ (fma i 2 (sqrt 1.0)) (cbrt i)) (- (fma -4 (sqrt 1.0) (* 8 i))))
428.0ms
(* (/ i (* (cbrt (fma i 2 (sqrt 1.0))) (cbrt (fma i 2 (sqrt 1.0))))) (/ i (* (cbrt (fma -4 (sqrt 1.0) (* 8 i))) (cbrt (fma -4 (sqrt 1.0) (* 8 i))))))
422.0ms
(- (+ (* 1/4 (/ (pow i 2) (pow (sqrt 1.0) 2))) (+ (* 4 (/ (pow i 6) (pow (sqrt 1.0) 6))) (/ (pow i 4) (pow (sqrt 1.0) 4)))))

prune2.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s8000×body80valid
249.0ms8000×pre80true