Details

Time bar (total: 11.6s)

sample34.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
6.0ms256×pre80true

simplify2.1s

Counts
1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
16×add-cube-cbrt
10×add-cbrt-cube add-exp-log difference-of-squares
7×associate-/r*
6×associate-/l*
5×distribute-lft-out-- add-log-exp
3×pow1 cbrt-undiv div-exp insert-posit16
2×clear-num frac-2neg flip3-- associate-/r/ div-inv flip--
1×sub-neg diff-log prod-exp cbrt-unprod
Counts
3 → 80
Calls
3 calls:
Slowest
16.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
7.0ms
(- 4 (/ 1.0 (* i i)))
6.0ms
(/ 1.0 (* i i))

series160.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
64.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
58.0ms
(- 4 (/ 1.0 (* i i)))
38.0ms
(/ 1.0 (* i i))

simplify938.0ms

Counts
89 → 89

prune567.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

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))))

rewrite111.0ms

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×rec-exp 1-exp insert-posit16 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 → 181
Calls
3 calls:
Slowest
67.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
26.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
13.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))

series433.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
249.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
109.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
75.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify937.0ms

Counts
190 → 190

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
91×times-frac
74×*-un-lft-identity
46×add-cube-cbrt
42×associate-*r*
40×cbrt-prod
28×difference-of-squares
23×add-exp-log
16×add-cbrt-cube
14×distribute-lft-out--
9×pow1 associate-/l*
7×associate-/r* prod-exp cbrt-unprod
6×add-log-exp
5×cbrt-undiv div-exp
4×associate-/r/ insert-posit16
3×flip3-- pow-prod-down div-inv flip-- unswap-sqr
2×clear-num frac-2neg
1×sub-neg diff-log associate-*l* associate-*r/ *-commutative
Counts
4 → 167
Calls
4 calls:
Slowest
63.0ms
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
26.0ms
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
11.0ms
(- 4 (/ 1.0 (* i i)))
8.0ms
(/ 1.0 (* i i))

series389.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
160.0ms
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
128.0ms
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
67.0ms
(- 4 (/ 1.0 (* i i)))
34.0ms
(/ 1.0 (* i i))

simplify832.0ms

Counts
179 → 179

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.3b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
990.0ms8000×body80valid
206.0ms8000×pre80true