Details

Time bar (total: 3.1s)

sample32.0ms

Algorithm
intervals
Results
17.0ms504×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1427
2547
3547

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.6b
(/ (* x x) (* y y))
22.2b
(/ (* z z) (* t t))

rewrite22.0ms

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:
10.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

series148.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
26.0ms
(/ (* x x) (* y y))
27.0ms
(/ (* z z) (* t t))

simplify49.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0375410
11850329
25002297

prune140.0ms

Filtered
64 candidates to 39 candidates (60.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
21.6b
(/ (* x x) (* y y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv add-log-exp
4×unswap-sqr
3×frac-add
2×frac-times associate-*r/ associate-*l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
10.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
14.0ms
(* (/ z t) (/ z t))
5.0ms
(/ (* x x) (* y y))

series142.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
26.0ms
(* (/ z t) (/ z t))
26.0ms
(/ (* x x) (* y y))

simplify68.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0590695
12934591
25002561

prune223.0ms

Filtered
111 candidates to 68 candidates (61.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
3.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
14.0ms
(* (/ z t) (/ z t))

series102.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
26.0ms
(* (/ z t) (/ z t))

simplify62.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0463705
12298601
25001555

prune253.0ms

Filtered
112 candidates to 70 candidates (62.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
11.4b
(sqrt (fabs (/ x y)))
11.4b
(sqrt (fabs (/ x y)))

rewrite24.0ms

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:
14.0ms
(* (/ z t) (/ z t))
2.0ms
(pow (sqrt (fabs (/ x y))) 3)
1.0ms
(sqrt (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ x y)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ z t) (/ z t))
18.0ms
(pow (sqrt (fabs (/ x y))) 3)
7.0ms
(sqrt (fabs (/ x y)))
8.0ms
(sqrt (fabs (/ x y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0455710
12300624
25001582

prune303.0ms

Filtered
137 candidates to 79 candidates (57.7%)
Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes371.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample917.0ms

Algorithm
intervals
Results
540.0ms15542×body80valid