Details

Time bar (total: 3.1s)

sample31.0ms

Algorithm
intervals
Results
16.0ms487×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
18.6b
(/ (* z z) (* t t))
20.9b
(/ (* x x) (* y y))

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:
9.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* z z) (* t t))
6.0ms
(/ (* x x) (* y y))

series145.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms
(/ (* z z) (* t t))
26.0ms
(/ (* x x) (* y y))

simplify45.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0375410
11850329
25002297

prune138.0ms

Filtered
64 candidates to 39 candidates (60.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New531164
Fresh000
Picked101
Done000
Total541165

Merged error: 3.5b

Counts
65 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b
(* (/ x y) (/ x y))
18.6b
(/ (* z z) (* t t))

rewrite30.0ms

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 y) (/ x y)) (/ (* z z) (* t t)))
10.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

series139.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
25.0ms
(* (/ x y) (/ x y))
26.0ms
(/ (* z z) (* t t))

simplify68.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0590695
12942594
25002564

prune221.0ms

Filtered
111 candidates to 68 candidates (61.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New10110111
Fresh6410
Picked101
Done000
Total10814122

Merged error: 0.1b

Counts
122 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

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

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:
6.0ms
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
10.0ms
(* (/ x y) (/ x y))

series64.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
25.0ms
(* (/ x y) (/ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0463705
12298604
25001558

prune251.0ms

Filtered
112 candidates to 70 candidates (62.5%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New10111112
Fresh10313
Picked101
Done000
Total11214126

Merged error: 0.0b

Counts
126 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.5b
(pow (sqrt (fabs (/ z t))) 3)
12.7b
(sqrt (fabs (/ z t)))
12.7b
(sqrt (fabs (/ z t)))

rewrite19.0ms

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:
9.0ms
(* (/ x y) (/ x y))
3.0ms
(pow (sqrt (fabs (/ z t))) 3)
1.0ms
(sqrt (fabs (/ z t)))
1.0ms
(sqrt (fabs (/ z t)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (/ x y) (/ x y))
22.0ms
(pow (sqrt (fabs (/ z t))) 3)
7.0ms
(sqrt (fabs (/ z t)))
7.0ms
(sqrt (fabs (/ z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0455710
12300624
25001582

prune290.0ms

Filtered
137 candidates to 79 candidates (57.7%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1334137
Fresh21113
Picked101
Done000
Total13615151

Merged error: 0.0b

Counts
151 → 15

regimes462.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01614
11614

end0.0ms

sample890.0ms

Algorithm
intervals
Results
531.0ms15612×body80valid