Details

Time bar (total: 15.2s)

sample41.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
7.0ms256×pre80true

simplify5.9s

Counts
1 → 1
Iterations
IterNodes
44030
3698
2152
133
010

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1/4 (- 4 (/ 1.0 (* i i))))
0.4b
(/ 1.0 (* i i))

rewrite40.0ms

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:
22.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
17.0ms
(/ 1.0 (* i i))

series123.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
42.0ms
(/ 1.0 (* i i))

simplify966.0ms

Counts
74 → 74
Iterations
IterNodes
32525
2777
1310
0145

prune331.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1.0 (* i i))
0.4b
(/ 1.0 (* i i))
0.4b
(/ 1.0 (* i i))
22.9b
(* (/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
24×add-cbrt-cube add-exp-log
22×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
18×associate-*l*
9×associate-/l*
7×cbrt-undiv div-exp
6×pow1
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u div-inv add-log-exp
3×clear-num associate-/r* frac-2neg difference-of-squares
2×frac-times flip3-+ associate-*r/ associate-/r/ flip-+ unswap-sqr
1×distribute-rgt-in distribute-lft-in flip3-- pow-prod-down associate-*l/ *-commutative flip-- distribute-lft-out
Counts
4 → 119
Calls
4 calls:
13.0ms
(/ 1.0 (* i i))
14.0ms
(/ 1.0 (* i i))
13.0ms
(/ 1.0 (* i i))
73.0ms
(* (/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

series231.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 1.0 (* i i))
34.0ms
(/ 1.0 (* i i))
50.0ms
(/ 1.0 (* i i))
105.0ms
(* (/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

simplify1.3s

Counts
131 → 131
Iterations
IterNodes
22275
1577
0172

prune552.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (* (* (* i i) (* i i)) (* i i)) (* 1.0 (* (* i i) (* i i))))
0.1b
(* (* (* i i) (* i i)) (* i i))
0.1b
(* (* i i) (* i i))
0.1b
(* (* i i) (* i i))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
891×pow1
378×pow-prod-up
190×pow-prod-down
163×pow-plus
159×pow-sqr
102×pow2
69×add-cbrt-cube add-exp-log
47×prod-exp cbrt-unprod
4×add-sqr-sqrt expm1-log1p-u *-un-lft-identity add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* *-commutative unswap-sqr
2×swap-sqr
1×pow3 fma-udef
Counts
4 → 354
Calls
4 calls:
0.0ms
(fma 4.0 (* (* (* i i) (* i i)) (* i i)) (* 1.0 (* (* i i) (* i i))))
110.0ms
(* (* (* i i) (* i i)) (* i i))
47.0ms
(* (* i i) (* i i))
53.0ms
(* (* i i) (* i i))

series316.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(fma 4.0 (* (* (* i i) (* i i)) (* i i)) (* 1.0 (* (* i i) (* i i))))
53.0ms
(* (* (* i i) (* i i)) (* i i))
43.0ms
(* (* i i) (* i i))
36.0ms
(* (* i i) (* i i))

simplify2.7s

Counts
366 → 366
Iterations
IterNodes
44731
31697
2687
1255
0134

prune353.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.4b

bsearch104.0ms

Steps
ItersRangePoint
8
7.372914875179306e-09
2.1819813209975147e-05
3.714521008652235e-06

simplify5.0ms

Iterations
IterNodes
227
127
023

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s8000×body80valid
223.0ms8000×pre80true