Details

Time bar (total: 12.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
4.0ms256×pre80true

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5002
3709
2152
133
010

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
13×prod-diff
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×add-log-exp
3×associate-/l*
2×expm1-log1p-u pow1 cbrt-undiv flip3-- div-exp associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u div-inv flip--
1×clear-num associate-/r* sub-neg frac-2neg fma-neg diff-log prod-exp cbrt-unprod
Counts
2 → 55
Calls
2 calls:
19.0ms
(- (* 4 i) (/ 1.0 i))
23.0ms
(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

series188.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(- (* 4 i) (/ 1.0 i))
118.0ms
(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

simplify1.6s

Counts
61 → 61
Iterations
IterNodes
done5006
21523
1491
0189

prune243.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 4 i) (/ 1.0 i))
0.1b
(* (/ 1 (- (* 4 i) (/ 1.0 i))) (/ i 4))
0.1b
(/ 1 (- (* 4 i) (/ 1.0 i)))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
43×times-frac
34×*-un-lft-identity
32×add-cube-cbrt
29×add-exp-log
17×add-cbrt-cube
15×associate-*l*
13×associate-*r* prod-diff
10×div-exp
8×prod-exp
6×pow1 unswap-sqr
5×cbrt-undiv add-log-exp
4×associate-/r/ cbrt-unprod div-inv
3×expm1-log1p-u rec-exp associate-/r* flip3-- 1-exp insert-posit16 log1p-expm1-u flip-- associate-/l*
1×frac-times clear-num sub-neg frac-2neg fma-neg diff-log pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
3 → 126
Calls
3 calls:
28.0ms
(- (* 4 i) (/ 1.0 i))
85.0ms
(* (/ 1 (- (* 4 i) (/ 1.0 i))) (/ i 4))
49.0ms
(/ 1 (- (* 4 i) (/ 1.0 i)))

series339.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(- (* 4 i) (/ 1.0 i))
148.0ms
(* (/ 1 (- (* 4 i) (/ 1.0 i))) (/ i 4))
92.0ms
(/ 1 (- (* 4 i) (/ 1.0 i)))

simplify2.1s

Counts
135 → 135
Iterations
IterNodes
done5000
22522
1817
0290

prune523.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* i i) (* i i))
15.8b
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
41.4b
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

rewrite333.0ms

Algorithm
rewrite-expression-head
Rules
302×add-cbrt-cube add-exp-log
168×prod-exp cbrt-unprod
114×pow1
76×cbrt-undiv div-exp
36×pow-prod-up
26×times-frac
23×pow-prod-down
22×pow-sqr
20×add-sqr-sqrt
18×pow-plus
14×*-un-lft-identity add-cube-cbrt
13×pow2
7×div-inv
6×associate-/l* difference-of-squares
5×associate-/r*
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/r/
1×flip3-- swap-sqr associate-*r* associate-*l* *-commutative flip-- unswap-sqr associate-/l/
Counts
3 → 229
Calls
3 calls:
32.0ms
(* (* i i) (* i i))
195.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
93.0ms
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* (* i i) (* i i))
115.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
31.0ms
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

simplify3.6s

Counts
238 → 238
Iterations
IterNodes
done5001
24611
1885
0286

prune350.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample909.0ms

Algorithm
intervals
Results
534.0ms8000×body80valid
259.0ms8000×pre80true