Details

Time bar (total: 2.4s)

sample28.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
3.0ms256×pre80true

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
03212
117211
29749
350018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize12.0ms

Local error

Found 1 expressions with local error:

15.1b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
2×associate-*l/ associate-/r/
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
22.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0319406
11586285
25001285

prune55.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
14.5b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp associate-/r*
6×prod-exp cbrt-unprod div-inv
4×associate-/l*
2×pow1 expm1-log1p-u frac-2neg associate-*l/ clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- associate-/r/ flip--
Counts
2 → 79
Calls
2 calls:
18.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
21.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series198.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
117.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0456990
12308841
25002834

prune159.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 16.0 i) (* 4.0 (/ 1 i)))
0.1b
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-exp prod-diff clear-num div-inv
Counts
2 → 47
Calls
2 calls:
3.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
5.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

series154.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
92.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

simplify221.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0247430
1957391
24947386
35001386

prune111.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)))
15.2b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
96×add-exp-log
52×add-cbrt-cube
38×div-exp
36×prod-exp
20×times-frac
19×cbrt-undiv
18×cbrt-unprod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×rec-exp 1-exp
6×associate-/r* div-inv
4×associate-/l*
3×pow1
2×expm1-log1p-u frac-2neg associate-*l/ clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip associate-/r/ flip-- inv-pow
Counts
2 → 95
Calls
2 calls:
32.0ms
(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)))
22.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i))

series208.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)))
126.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i))

simplify75.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05161292
126521016
25001960

prune116.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample711.0ms

Algorithm
intervals
Results
516.0ms8000×body80valid
96.0ms8000×pre80true