Details

Time bar (total: 2.2s)

sample17.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
2.0ms104×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
21.6b
(sqrt (+ (* x x) y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
7.0ms
(+ (* x x) y)
10.0ms
(sqrt (+ (* x x) y))

series66.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (* x x) y)
46.0ms
(sqrt (+ (* x x) y))

simplify52.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0141152
1475139
21515138
35002136

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1/2 (/ y x)))
0.0b
(* 1/2 (/ y x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
5.0ms
(+ x (* 1/2 (/ y x)))
13.0ms
(* 1/2 (/ y x))

series42.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ x (* 1/2 (/ y x)))
18.0ms
(* 1/2 (/ y x))

simplify106.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0223199
1960187
24238187
35001187

prune79.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) y)
8.3b
(- (pow x 4) (pow y 2))
21.6b
(sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
37.1b
(/ (- (pow x 4) (pow y 2)) (- (* x x) y))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
224×add-sqr-sqrt
154×difference-of-squares
129×times-frac
70×unpow-prod-down sqrt-prod sqr-pow
67×*-un-lft-identity
47×add-cube-cbrt
30×unpow2
16×associate-/l*
10×distribute-lft-out--
8×add-log-exp
6×add-exp-log add-cbrt-cube
5×pow1 flip3-- flip--
4×associate-/r* associate-/r/
2×sub-neg rem-sqrt-square diff-log div-inv associate-/l/
1×cbrt-undiv frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num
Counts
4 → 221
Calls
4 calls:
8.0ms
(- (* x x) y)
18.0ms
(- (pow x 4) (pow y 2))
46.0ms
(sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
58.0ms
(/ (- (pow x 4) (pow y 2)) (- (* x x) y))

series211.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (* x x) y)
41.0ms
(- (pow x 4) (pow y 2))
85.0ms
(sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
63.0ms
(/ (- (pow x 4) (pow y 2)) (- (* x x) y))

simplify74.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
07432681
121472401
250012247

prune434.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1/2 (/ y x)))
0.0b
(* 1/2 (/ y x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
5.0ms
(+ x (* 1/2 (/ y x)))
13.0ms
(* 1/2 (/ y x))

series46.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ x (* 1/2 (/ y x)))
22.0ms
(* 1/2 (/ y x))

simplify108.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0223199
1960187
24238187
35001187

prune73.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes123.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.4b

bsearch32.0ms

Steps
ItersRangePoint
4
1.962517469472653e+123
2.664420413127494e+123
2.0273741577231143e+123
9
-5.024868303916657e+156
-8.256430912802205e+150
-1.3199717282643271e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12910
23110
33110

end0.0ms

sample409.0ms

Algorithm
intervals
Results
148.0ms8000×body80valid
42.0ms2643×body80nan