Details

Time bar (total: 16.6s)

sample38.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
6.0ms256×pre80true

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
3711
2147
132
010

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
64×times-frac
53×*-un-lft-identity
36×associate-*r*
33×add-cube-cbrt
20×difference-of-squares
18×associate-/r*
17×associate-*l*
14×unswap-sqr
10×distribute-lft-out--
7×add-cbrt-cube add-exp-log
4×*-commutative add-log-exp
3×associate-/l*
2×pow1 cbrt-undiv flip3-- div-exp associate-*r/ associate-/r/ insert-posit16 flip--
1×clear-num sub-neg frac-2neg diff-log prod-exp cbrt-unprod div-inv
Counts
2 → 111
Calls
2 calls:
36.0ms
(- (* 4 i) (/ 1.0 i))
175.0ms
(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

series178.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(- (* 4 i) (/ 1.0 i))
97.0ms
(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

simplify1.4s

Counts
117 → 117
Iterations
IterNodes
done5003
21665
1562
0215

prune415.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite590.0ms

Algorithm
rewrite-expression-head
Rules
475×add-sqr-sqrt
322×sqrt-prod
271×times-frac
210×*-un-lft-identity
126×add-cube-cbrt
105×difference-of-squares
91×unswap-sqr
49×associate-*l*
42×associate-/r* associate-*r*
21×distribute-lft-out distribute-lft-out--
18×sqrt-div associate-/l*
11×add-cbrt-cube add-exp-log
7×*-commutative
6×pow1
4×rem-sqrt-square clear-num frac-2neg associate-/r/ insert-posit16 div-inv add-log-exp
3×cbrt-undiv div-exp
2×sqrt-pow1 pow1/2 associate-*r/
1×flip3-+ flip3-- prod-exp cbrt-unprod flip-+ flip--
Counts
4 → 364
Calls
4 calls:
4.0ms
(sqrt (/ 1.0 i))
5.0ms
(sqrt (/ 1.0 i))
153.0ms
(/ (sqrt i) (- (* (sqrt 4) (sqrt i)) (sqrt (/ 1.0 i))))
409.0ms
(/ (sqrt i) (* 4 (+ (* (sqrt 4) (sqrt i)) (sqrt (/ 1.0 i)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
85.0ms
(sqrt (/ 1.0 i))
88.0ms
(sqrt (/ 1.0 i))
577.0ms
(/ (sqrt i) (- (* (sqrt 4) (sqrt i)) (sqrt (/ 1.0 i))))
624.0ms
(/ (sqrt i) (* 4 (+ (* (sqrt 4) (sqrt i)) (sqrt (/ 1.0 i)))))

simplify2.0s

Counts
376 → 376
Iterations
IterNodes
done5002
22500
1955
0426

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* i (* i i))
0.1b
(* i (* i i))
0.1b
(* (* i (* i i)) (* (* i (* i i)) 4.0))
0.1b
(* (* i i) (* i i))

rewrite845.0ms

Algorithm
rewrite-expression-head
Rules
368×add-sqr-sqrt
237×unswap-sqr
197×pow1
144×associate-*r*
109×associate-*l*
80×add-cbrt-cube add-exp-log
75×swap-sqr
71×pow-prod-down
56×*-un-lft-identity prod-exp cbrt-unprod
52×add-cube-cbrt
47×*-commutative
46×pow-prod-up
24×pow-sqr
20×pow-plus
15×pow2
4×cube-unmult insert-posit16 add-log-exp
Counts
4 → 381
Calls
4 calls:
53.0ms
(* i (* i i))
55.0ms
(* i (* i i))
629.0ms
(* (* i (* i i)) (* (* i (* i i)) 4.0))
74.0ms
(* (* i i) (* i i))

series256.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* i (* i i))
67.0ms
(* i (* i i))
76.0ms
(* (* i (* i i)) (* (* i (* i i)) 4.0))
72.0ms
(* (* i i) (* i i))

simplify3.5s

Counts
393 → 393
Iterations
IterNodes
done5002
23066
1843
0246

prune884.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s8000×body80valid
252.0ms8000×pre80true