Details

Time bar (total: 1.9s)

sample300.0ms

Algorithm
intervals
Results
4.0ms67×body1280valid
4.0ms68×body640valid
3.0ms148×body80valid
1.0ms26×body320valid
0.0ms11×body160valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1404
21234
32794
44904
57134
610464
720014
838444
950014

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) (+ x 1.0))
3.1b
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
10×add-sqr-sqrt
9×pow1
7×add-cube-cbrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
4×add-exp-log frac-times associate-*r* associate-*l* add-cbrt-cube add-log-exp
3×prod-diff
2×distribute-rgt-in expm1-log1p-u distribute-lft-in associate-*r/ associate-*l/ associate--l+ log1p-expm1-u
1×pow2 sub-neg flip3-- pow-plus fma-neg diff-log pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
2 → 63
Calls
2 calls:
30.0ms
(* (+ x 1.0) (+ x 1.0))
44.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series81.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ x 1.0) (+ x 1.0))
65.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify48.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0281350
11394305
25001297

prune92.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x 2.0 (pow x 2))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma x 2.0 (pow x 2))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(fma x 2.0 (pow x 2))

simplify46.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02443
16738
226338
3104338
4500138

prune24.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x 2.0 (pow x 2))
0.0b
(sqrt (fma x 2.0 (pow x 2)))
0.0b
(sqrt (fma x 2.0 (pow x 2)))
0.2b
(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma x 2.0 (pow x 2))
4.0ms
(sqrt (fma x 2.0 (pow x 2)))
1.0ms
(sqrt (fma x 2.0 (pow x 2)))
12.0ms
(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(fma x 2.0 (pow x 2))
35.0ms
(sqrt (fma x 2.0 (pow x 2)))
39.0ms
(sqrt (fma x 2.0 (pow x 2)))
53.0ms
(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

simplify162.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0164446
1611396
23806380
35001380

prune168.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052

end0.0ms

sample517.0ms

Algorithm
intervals
Results
148.0ms2262×body1280valid
84.0ms5445×body80valid
84.0ms1662×body640valid
35.0ms895×body320valid
13.0ms419×body160valid