Details

Time bar (total: 3.1s)

sample34.0ms

Algorithm
intervals
Results
17.0ms500×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 32.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.0b
(/ (* z z) (* t t))
24.3b
(/ (* x x) (* y y))

rewrite24.0ms

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:
11.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* z z) (* t t))
6.0ms
(/ (* x x) (* y y))

series137.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms
(/ (* z z) (* t t))
25.0ms
(/ (* x x) (* y y))

simplify39.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0375410
11850329
25002297

prune133.0ms

Filtered
64 candidates to 39 candidates (60.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.9b

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))

rewrite15.0ms

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)))
6.0ms
(/ (* z z) (* t t))

series98.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
9.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
24.0ms
(/ (* z z) (* t t))

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0267431
11295348
25001324

prune150.0ms

Filtered
66 candidates to 39 candidates (59.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×add-exp-log add-cbrt-cube
6×swap-sqr associate-*r* associate-*l*
5×add-log-exp
2×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 61
Calls
3 calls:
4.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
10.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify146.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (141.0ms)

IterNodesCost
0185467
1845384
24503368
35001352

prune177.0ms

Filtered
70 candidates to 41 candidates (58.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
0.2b
(pow (fabs (/ z t)) 3/2)
0.4b
(* (fabs (/ x y)) (fabs (/ x y)))
9.4b
(sqrt (fabs (/ z t)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×pow1
12×add-exp-log
10×associate-*r*
9×associate-*l* sqrt-prod
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
4×prod-exp add-log-exp sqr-pow
3×pow-unpow swap-sqr pow-prod-up
2×pow-to-exp sqrt-pow1 pow1/2 pow-exp *-commutative cbrt-unprod
1×pow2 rem-sqrt-square pow-pow pow-plus pow-prod-down pow-sqr
Counts
4 → 88
Calls
4 calls:
8.0ms
(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
2.0ms
(pow (fabs (/ z t)) 3/2)
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ z t)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
37.0ms
(pow (fabs (/ z t)) 3/2)
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
7.0ms
(sqrt (fabs (/ z t)))

simplify132.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0202623
1822572
24082551
35001519

prune235.0ms

Filtered
100 candidates to 59 candidates (59.0%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

regimes665.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01425
11425

end0.0ms

sample953.0ms

Algorithm
intervals
Results
548.0ms15395×body80valid