Details

Time bar (total: 16.5s)

sample42.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
8.0ms256×pre80true

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5002
3709
2152
133
010

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
2×cbrt-undiv div-exp associate-*l/ associate-/r/
1×expm1-log1p-u pow1 clear-num associate-/r* frac-2neg flip3-- prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 26
Calls
1 calls:
15.0ms
(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

series131.0ms

Counts
1 → 3
Calls
1 calls:
131.0ms
(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

simplify2.2s

Counts
29 → 29
Iterations
IterNodes
done5006
33534
2714
1218
086

prune86.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
34×times-frac
28×add-exp-log
26×*-un-lft-identity
24×add-cube-cbrt
16×add-cbrt-cube
15×associate-*l*
13×associate-*r*
10×div-exp
8×prod-exp
6×unswap-sqr
5×pow1 cbrt-undiv
4×associate-/r/ cbrt-unprod
3×rec-exp associate-/r* 1-exp div-inv associate-/l*
2×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
2 → 97
Calls
2 calls:
18.0ms
(/ 1 (- (* 4 i) (/ 1.0 i)))
50.0ms
(* (/ 1 (- (* 4 i) (/ 1.0 i))) (/ i 4))

series256.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(/ 1 (- (* 4 i) (/ 1.0 i)))
150.0ms
(* (/ 1 (- (* 4 i) (/ 1.0 i))) (/ i 4))

simplify1.8s

Counts
103 → 103
Iterations
IterNodes
done5000
21803
1568
0196

prune345.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sqrt i) (/ (* (- (* 4 i) (/ 1.0 i)) 4) (sqrt i)))
0.4b
(/ (* (- (* 4 i) (/ 1.0 i)) 4) (sqrt i))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
49×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r* add-cbrt-cube add-exp-log
9×div-inv
7×cbrt-undiv div-exp associate-/l*
2×expm1-log1p-u pow1 clear-num frac-2neg associate-*l/ prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-- associate-/r/ flip--
Counts
2 → 128
Calls
2 calls:
19.0ms
(/ (sqrt i) (/ (* (- (* 4 i) (/ 1.0 i)) 4) (sqrt i)))
19.0ms
(/ (* (- (* 4 i) (/ 1.0 i)) 4) (sqrt i))

series235.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(/ (sqrt i) (/ (* (- (* 4 i) (/ 1.0 i)) 4) (sqrt i)))
126.0ms
(/ (* (- (* 4 i) (/ 1.0 i)) 4) (sqrt i))

simplify1.9s

Counts
134 → 134
Iterations
IterNodes
done5000
21972
1623
0221

prune423.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ (- (/ i 1/4) (/ 1.0 i)) 1/4) i)
0.5b
(/ 1 (/ (/ (- (/ i 1/4) (/ 1.0 i)) 1/4) i))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
1476×times-frac
1044×add-sqr-sqrt
756×*-un-lft-identity
468×add-cube-cbrt
192×difference-of-squares
100×associate-/r*
96×distribute-lft-out--
34×associate-/l*
28×add-exp-log
22×div-inv
18×div-exp
16×add-cbrt-cube
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×expm1-log1p-u clear-num frac-2neg div-sub insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 565
Calls
2 calls:
34.0ms
(/ (/ (- (/ i 1/4) (/ 1.0 i)) 1/4) i)
38.0ms
(/ 1 (/ (/ (- (/ i 1/4) (/ 1.0 i)) 1/4) i))

series358.0ms

Counts
2 → 6
Calls
2 calls:
203.0ms
(/ (/ (- (/ i 1/4) (/ 1.0 i)) 1/4) i)
154.0ms
(/ 1 (/ (/ (- (/ i 1/4) (/ 1.0 i)) 1/4) i))

simplify3.0s

Counts
571 → 571
Iterations
IterNodes
done5000
12274
0833

prune2.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample981.0ms

Algorithm
intervals
Results
665.0ms8000×body80valid
189.0ms8000×pre80true