Details

Time bar (total: 16.9s)

sample43.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
5.0ms256×pre80true

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2169
132
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize12.0ms

Local error

Found 1 expressions with local error:

16.3b
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
5×add-sqr-sqrt
4×associate-/r* times-frac prod-exp cbrt-unprod
3×*-un-lft-identity add-cube-cbrt associate-/l/
2×associate-/r/ difference-of-squares
1×expm1-log1p-u frac-times pow1 clear-num frac-2neg flip3-- associate-*l/ associate-*r/ log1p-expm1-u div-inv flip-- associate-/l* add-log-exp
Counts
1 → 36
Calls
1 calls:
79.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

series118.0ms

Counts
1 → 3
Calls
1 calls:
118.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

simplify2.2s

Counts
39 → 39
Iterations
IterNodes
done5001
22404
1342
0109

prune196.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
0.0b
(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
0.0b
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
300×times-frac
193×add-sqr-sqrt
157×*-un-lft-identity add-cube-cbrt
49×add-cbrt-cube add-exp-log
45×associate-*r* associate-*l*
26×associate-/l*
24×cbrt-undiv div-exp
18×div-inv
9×prod-exp cbrt-unprod unswap-sqr
8×associate-/r/
6×associate-/r*
5×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip3-- flip-+ flip-- associate-/l/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 279
Calls
3 calls:
22.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
17.0ms
(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
139.0ms
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))

series593.0ms

Counts
3 → 9
Calls
3 calls:
163.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
141.0ms
(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
289.0ms
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))

simplify1.7s

Counts
288 → 288
Iterations
IterNodes
done5001
11473
0436

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
0.0b
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ 1 (/ (- (* i 2.0) (sqrt 1.0)) (/ i 2.0))))
0.3b
(/ 1 (/ (- (* i 2.0) (sqrt 1.0)) (/ i 2.0)))

rewrite391.0ms

Algorithm
rewrite-expression-head
Rules
924×times-frac
505×add-sqr-sqrt
424×*-un-lft-identity
415×add-cube-cbrt
155×add-exp-log
137×associate-*r*
93×div-exp
71×add-cbrt-cube
47×associate-/r*
45×associate-*l*
39×cbrt-undiv div-inv
30×prod-exp
21×unswap-sqr
16×associate-/l*
13×associate-/r/
12×rec-exp 1-exp cbrt-unprod
6×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip inv-pow associate-/l/
Counts
3 → 540
Calls
3 calls:
23.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
257.0ms
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ 1 (/ (- (* i 2.0) (sqrt 1.0)) (/ i 2.0))))
45.0ms
(/ 1 (/ (- (* i 2.0) (sqrt 1.0)) (/ i 2.0)))

series599.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
322.0ms
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ 1 (/ (- (* i 2.0) (sqrt 1.0)) (/ i 2.0))))
135.0ms
(/ 1 (/ (- (* i 2.0) (sqrt 1.0)) (/ i 2.0)))

simplify3.3s

Counts
549 → 549
Iterations
IterNodes
done5002
13023
0832

prune3.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
013

end0.0ms

sample938.0ms

Algorithm
intervals
Results
635.0ms8000×body80valid
110.0ms8000×pre80true