Details

Time bar (total: 1.8s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ y 200.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
28×times-frac
3×fma-neg div-inv add-log-exp
2×difference-of-squares
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
8.0ms
(- x (/ y 200.0))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(- x (/ y 200.0))

simplify156.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0367971
11124634
24964514
35001514

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y 200.0))
0.0b
(sqrt (- x (/ y 200.0)))
0.0b
(sqrt (- x (/ y 200.0)))
0.2b
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
69×*-un-lft-identity
49×add-cube-cbrt
46×sqrt-prod
39×prod-diff
34×times-frac
21×pow1
16×sqrt-div
14×difference-of-squares
13×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-- associate-*r* associate-*l* flip-- distribute-lft-out--
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×fma-neg pow-prod-down pow-sqr div-inv
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 169
Calls
4 calls:
8.0ms
(- x (/ y 200.0))
16.0ms
(sqrt (- x (/ y 200.0)))
16.0ms
(sqrt (- x (/ y 200.0)))
51.0ms
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

series207.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- x (/ y 200.0))
75.0ms
(sqrt (- x (/ y 200.0)))
76.0ms
(sqrt (- x (/ y 200.0)))
30.0ms
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

simplify71.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05321668
120721273
250011171

prune263.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y 200.0))
0.3b
(* (/ y 200.0) (/ y 200.0))
2.8b
(- (* x x) (* (/ y 200.0) (/ y 200.0)))
30.4b
(/ (- (* x x) (* (/ y 200.0) (/ y 200.0))) (+ x (/ y 200.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
55×add-sqr-sqrt *-un-lft-identity
43×add-cube-cbrt
18×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
8×add-log-exp
6×distribute-lft-out difference-of-squares
5×cbrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp associate-/r* cbrt-unprod log1p-expm1-u associate-/l* unswap-sqr
3×fma-def
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×+-commutative pow2 frac-times sub-neg frac-2neg pow-plus fma-neg diff-log div-sub associate-*r/ prod-diff pow-prod-down associate-*l/ clear-num sum-log pow-sqr *-commutative pow-prod-up
Counts
4 → 146
Calls
4 calls:
6.0ms
(+ x (/ y 200.0))
13.0ms
(* (/ y 200.0) (/ y 200.0))
3.0ms
(- (* x x) (* (/ y 200.0) (/ y 200.0)))
19.0ms
(/ (- (* x x) (* (/ y 200.0) (/ y 200.0))) (+ x (/ y 200.0)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ x (/ y 200.0))
24.0ms
(* (/ y 200.0) (/ y 200.0))
44.0ms
(- (* x x) (* (/ y 200.0) (/ y 200.0)))
67.0ms
(/ (- (* x x) (* (/ y 200.0) (/ y 200.0))) (+ x (/ y 200.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06171146
132311034
250031027

prune281.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

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

sample250.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid