Details

Time bar (total: 23.4s)

sample60.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
10.0ms256×pre80true

simplify2.4s

Counts
1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1.0 (* i i))
0.2b
(/ 1/4 (- 4 (/ 1.0 (* i i))))
0.0b
(- 4 (/ 1.0 (* i i)))

rewrite67.0ms

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
31.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
20.0ms
(- 4 (/ 1.0 (* i i)))
12.0ms
(/ 1.0 (* i i))

series204.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
80.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
68.0ms
(- 4 (/ 1.0 (* i i)))
56.0ms
(/ 1.0 (* i i))

simplify1.5s

Counts
119 → 119

prune884.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 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))))
0.0b
(- (sqrt 4) (/ (sqrt 1.0) i))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
319×add-sqr-sqrt
231×times-frac
206×*-un-lft-identity
174×add-cube-cbrt
163×sqrt-prod
132×prod-diff
48×difference-of-squares
36×associate-*r*
32×add-exp-log
20×add-cbrt-cube
18×associate-*l*
14×associate-/r*
11×div-exp
10×div-inv
8×prod-exp associate-/r/ distribute-lft-out--
7×pow1 distribute-lft-out
6×cbrt-undiv fma-neg associate-/l* add-log-exp unswap-sqr
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u
3×rec-exp flip3-- 1-exp flip--
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times sub-neg diff-log pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
4 → 347
Calls
4 calls:
Slowest
72.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
18.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
14.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
11.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))

series421.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
205.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
75.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
72.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
68.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))

simplify751.0ms

Counts
359 → 359

prune4.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
516×add-sqr-sqrt
376×sqrt-prod
319×times-frac
169×*-un-lft-identity
156×difference-of-squares
108×associate-*r*
107×cbrt-prod
105×add-cube-cbrt
32×add-exp-log
26×distribute-lft-out--
22×associate-/r* add-cbrt-cube
11×associate-*l*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r/
7×pow1 associate-/l*
6×distribute-lft-out unswap-sqr
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square
2×clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×frac-times sqrt-pow1 pow1/2 sqrt-div pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 362
Calls
4 calls:
Slowest
107.0ms
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i)))) (/ (cbrt 1/4) (- (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i)))))
37.0ms
(/ (cbrt 1/4) (- (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i))))
25.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i))))
6.0ms
(sqrt (/ (sqrt 1.0) i))

series2.9s

Counts
4 → 12
Calls
4 calls:
Slowest
1.8s
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i)))) (/ (cbrt 1/4) (- (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i)))))
463.0ms
(/ (cbrt 1/4) (- (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i))))
439.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i))))
112.0ms
(sqrt (/ (sqrt 1.0) i))

simplify1.9s

Counts
374 → 374

prune6.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

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

bsearch6.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s8000×body80valid
287.0ms8000×pre80true