Details

Time bar (total: 3.3s)

sample34.0ms

Algorithm
intervals
Results
17.0ms496×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1427
2547
3547

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.0b
(/ (* z z) (* t t))
22.6b
(/ (* x x) (* y y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
9.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms
(/ (* z z) (* t t))
5.0ms
(/ (* x x) (* y y))

series138.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
24.0ms
(/ (* z z) (* t t))
25.0ms
(/ (* x x) (* y y))

simplify43.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0375410
11850329
25002297

prune132.0ms

Filtered
64 candidates to 39 candidates (60.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
0.4b
(* (fabs (/ x y)) (fabs (/ x y)))
20.0b
(/ (* z z) (* t t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×pow1
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv div-exp
3×swap-sqr associate-*r* associate-*l*
1×+-commutative pow2 frac-2neg flip3-+ times-frac pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 57
Calls
3 calls:
4.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
5.0ms
(/ (* z z) (* t t))

series102.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
28.0ms
(/ (* z z) (* t t))

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0267431
11295348
25001324

prune147.0ms

Filtered
66 candidates to 39 candidates (59.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
0.4b
(* (fabs (/ x y)) (fabs (/ x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×times-frac
35×add-cube-cbrt *-un-lft-identity
17×pow1 add-exp-log add-cbrt-cube
16×swap-sqr associate-*r* associate-*l*
5×prod-exp cbrt-unprod add-log-exp unswap-sqr
4×cbrt-undiv div-exp div-inv
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative frac-times flip3-+ associate-*r/ associate-*l/ sum-log flip-+
Counts
3 → 103
Calls
3 calls:
2.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
12.0ms
(* (/ z t) (/ z t))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
24.0ms
(* (/ z t) (/ z t))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0463705
12298601
25001555

prune268.0ms

Filtered
112 candidates to 69 candidates (61.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
9.1b
(sqrt (fabs (/ x y)))
9.1b
(sqrt (fabs (/ x y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
40×times-frac
39×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
15×pow1
13×swap-sqr associate-*r* associate-*l*
12×sqrt-prod
6×unpow-prod-down cube-prod
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×rem-sqrt-square
1×pow2 cube-mult frac-times pow-to-exp pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 125
Calls
4 calls:
12.0ms
(* (/ z t) (/ z t))
2.0ms
(pow (sqrt (fabs (/ x y))) 3)
1.0ms
(sqrt (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ x y)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ z t) (/ z t))
23.0ms
(pow (sqrt (fabs (/ x y))) 3)
7.0ms
(sqrt (fabs (/ x y)))
7.0ms
(sqrt (fabs (/ x y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0455710
12300624
25001582

prune305.0ms

Filtered
137 candidates to 79 candidates (57.7%)
Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

regimes681.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511
11511

end0.0ms

sample983.0ms

Algorithm
intervals
Results
565.0ms15626×body80valid