Details

Time bar (total: 10.9s)

sample48.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
8.0ms256×pre80true

simplify1.8s

Counts
1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
40×*-un-lft-identity
35×times-frac
30×add-cube-cbrt
21×prod-diff
10×add-cbrt-cube add-exp-log difference-of-squares
7×associate-/r*
6×associate-/l*
5×div-inv distribute-lft-out-- add-log-exp
3×expm1-log1p-u pow1 cbrt-undiv fma-neg div-exp insert-posit16 log1p-expm1-u
2×clear-num frac-2neg flip3-- associate-/r/ flip--
1×sub-neg diff-log prod-exp cbrt-unprod
Counts
3 → 110
Calls
3 calls:
Slowest
15.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
11.0ms
(/ 1.0 (* i i))
10.0ms
(- 4 (/ 1.0 (* i i)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
62.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
59.0ms
(- 4 (/ 1.0 (* i i)))
29.0ms
(/ 1.0 (* i i))

simplify476.0ms

Counts
167 → 119

prune982.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
0.1b
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
0.0b
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
178×add-sqr-sqrt
119×times-frac
79×*-un-lft-identity
49×add-cube-cbrt
42×difference-of-squares
36×associate-*r*
35×sqrt-prod
31×add-exp-log
19×add-cbrt-cube
18×associate-*l*
14×associate-/r*
11×div-exp
8×prod-exp associate-/r/
7×distribute-lft-out distribute-lft-out--
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×cbrt-unprod div-inv
3×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
3 → 187
Calls
3 calls:
Slowest
88.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
24.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
14.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))

series401.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
229.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
91.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
82.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify410.0ms

Counts
245 → 196

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1.0 (* i i))
0.4b
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
0.1b
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
0.0b
(- 4 (/ 1.0 (* i i)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
121×add-sqr-sqrt
100×times-frac
88×*-un-lft-identity
60×add-cube-cbrt
42×associate-*r*
40×cbrt-prod
28×difference-of-squares
23×add-exp-log
21×prod-diff
16×add-cbrt-cube
14×distribute-lft-out--
9×pow1 associate-/l*
7×associate-/r* prod-exp cbrt-unprod
6×div-inv add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u
3×flip3-- fma-neg pow-prod-down flip-- unswap-sqr
2×clear-num frac-2neg
1×sub-neg diff-log associate-*l* associate-*r/ *-commutative
Counts
4 → 199
Calls
4 calls:
Slowest
59.0ms
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
16.0ms
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
11.0ms
(/ 1.0 (* i i))
10.0ms
(- 4 (/ 1.0 (* i i)))

series425.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
174.0ms
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
132.0ms
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
82.0ms
(- 4 (/ 1.0 (* i i)))
37.0ms
(/ 1.0 (* i i))

simplify416.0ms

Counts
279 → 211

prune2.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch4.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8000×body80valid
249.0ms8000×pre80true