Details

Time bar (total: 18.0s)

sample58.0ms

Algorithm
intervals
Results
34.0ms256×body80valid
9.0ms256×pre80true

simplify1.9s

Counts
1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1.0 (* i i))
0.3b
(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×times-frac
23×*-un-lft-identity
15×add-cube-cbrt
9×add-cbrt-cube add-exp-log
8×difference-of-squares
7×associate-/r*
6×associate-/l*
4×distribute-lft-out--
3×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u div-inv add-log-exp
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 68
Calls
2 calls:
Slowest
34.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
13.0ms
(/ 1.0 (* i i))

series152.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
98.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
54.0ms
(/ 1.0 (* i i))

simplify722.0ms

Counts
74 → 74

prune638.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

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
84.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
19.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
18.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series458.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
238.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
127.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
92.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify877.0ms

Counts
196 → 196

prune2.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))
0.1b
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))
0.1b
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
287×add-sqr-sqrt
187×times-frac
95×*-un-lft-identity
78×difference-of-squares
66×associate-*r*
65×cbrt-prod sqrt-prod
63×add-cube-cbrt
31×add-exp-log
21×add-cbrt-cube
14×associate-/r*
13×distribute-lft-out--
10×cbrt-undiv div-exp associate-*l*
9×prod-exp cbrt-unprod
8×associate-/r/
7×associate-/l*
6×unswap-sqr
5×pow1
4×div-inv
3×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
2×clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 230
Calls
3 calls:
Slowest
80.0ms
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
20.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))
20.0ms
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))

series523.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
256.0ms
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
138.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))
129.0ms
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.5s

Counts
239 → 239

prune3.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

28.8b
(log (/ (/ 1.0 i) i))
2.9b
(exp (log (/ (/ 1.0 i) i)))
0.3b
(/ 1/4 (- 4 (exp (log (/ (/ 1.0 i) i)))))
0.1b
(/ (/ 1.0 i) i)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
174×add-sqr-sqrt
138×*-un-lft-identity
130×add-cube-cbrt
98×log-prod
55×exp-sum
17×add-exp-log
16×associate-/l* difference-of-squares
14×div-inv
11×associate-/r* add-cbrt-cube
7×div-exp
6×pow1
4×expm1-log1p-u cbrt-undiv exp-prod insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
3×rem-log-exp
2×log-div clear-num frac-2neg associate-/r/ log-pow
1×flip3-- exp-diff flip-- rem-exp-log associate-/l/
Counts
4 → 242
Calls
4 calls:
Slowest
33.0ms
(/ 1/4 (- 4 (exp (log (/ (/ 1.0 i) i)))))
15.0ms
(/ (/ 1.0 i) i)
6.0ms
(exp (log (/ (/ 1.0 i) i)))
4.0ms
(log (/ (/ 1.0 i) i))

series393.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
234.0ms
(log (/ (/ 1.0 i) i))
93.0ms
(/ 1/4 (- 4 (exp (log (/ (/ 1.0 i) i)))))
36.0ms
(/ (/ 1.0 i) i)
29.0ms
(exp (log (/ (/ 1.0 i) i)))

simplify951.0ms

Counts
254 → 254

prune2.5s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch7.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8000×body80valid
228.0ms8000×pre80true