Details

Time bar (total: 12.8s)

sample36.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
6.0ms256×pre80true

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
43914
3700
2147
132
010

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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×pow1 clear-num frac-2neg associate-/r/ insert-posit16 div-inv add-log-exp
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 64
Calls
2 calls:
30.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
11.0ms
(/ 1.0 (* i i))

series131.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
61.0ms
(/ 1.0 (* i i))

simplify833.0ms

Counts
70 → 70
Iterations
IterNodes
32463
2754
1299
0141

prune305.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize44.0ms

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 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt 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×associate-*r* insert-posit16 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 → 111
Calls
4 calls:
13.0ms
(/ 1.0 (* i i))
13.0ms
(/ 1.0 (* i i))
13.0ms
(/ 1.0 (* i i))
72.0ms
(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

series246.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ 1.0 (* i i))
33.0ms
(/ 1.0 (* i i))
47.0ms
(/ 1.0 (* i i))
116.0ms
(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

simplify1.3s

Counts
123 → 123
Iterations
IterNodes
22406
1561
0164

prune485.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite490.0ms

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
6×add-log-exp
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt insert-posit16
3×associate-*r* associate-*l* *-commutative unswap-sqr
2×swap-sqr
1×+-commutative sum-log flip3-+ pow3 flip-+
Counts
4 → 349
Calls
4 calls:
289.0ms
(+ (* 4.0 (* (* (* i i) (* i i)) (* i i))) (* (* (* i i) (* i i)) 1.0))
96.0ms
(* (* (* i i) (* i i)) (* i i))
48.0ms
(* (* i i) (* i i))
47.0ms
(* (* i i) (* i i))

series353.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(+ (* 4.0 (* (* (* i i) (* i i)) (* i i))) (* (* (* i i) (* i i)) 1.0))
82.0ms
(* (* (* i i) (* i i)) (* i i))
38.0ms
(* (* i i) (* i i))
44.0ms
(* (* i i) (* i i))

simplify2.6s

Counts
361 → 361
Iterations
IterNodes
34307
21034
1297
0142

prune324.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

100% (0.0b remaining)

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

bsearch92.0ms

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

simplify43.0ms

Iterations
IterNodes
569
469
363
248
137
025

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s8000×body80valid
265.0ms8000×pre80true