Details

Time bar (total: 3.5s)

sample34.0ms

Algorithm
intervals
Results
17.0ms513×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1427
2547
3547

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.9b
(/ (* x x) (* y y))
23.4b
(/ (* z z) (* t t))

rewrite23.0ms

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:
12.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

series321.0ms

Counts
3 → 9
Calls
3 calls:
270.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms
(/ (* x x) (* y y))
26.0ms
(/ (* z z) (* t t))

simplify44.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0375410
11850329
25002297

prune157.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
23.4b
(/ (* z z) (* t t))

rewrite14.0ms

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))

series106.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
27.0ms
(/ (* z z) (* t t))

simplify41.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0267431
11295348
25001324

prune178.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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

rewrite10.0ms

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:
2.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
8.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify152.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
0185467
1845384
24503368
35001352

prune192.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
0.5b
(* (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))) (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))))
5.5b
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t)))))
5.5b
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
28×pow1
24×sqrt-prod
18×add-cube-cbrt *-un-lft-identity
16×sqrt-div
11×swap-sqr
10×sqrt-pow1 pow1/2
9×associate-*r* associate-*l*
8×add-exp-log flip3-+ add-cbrt-cube flip-+
6×pow-prod-up
5×unswap-sqr
4×frac-times pow-prod-down pow-sqr add-log-exp
2×pow2 rem-sqrt-square pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
1×sqrt-unprod rem-square-sqrt
Counts
4 → 112
Calls
4 calls:
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
21.0ms
(* (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))) (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))))
3.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t)))))
3.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t)))))

series108.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
22.0ms
(* (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))) (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))))
39.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t)))))
39.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02211884
110151576
250021503

prune315.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes671.0ms

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
01613
11613

end0.0ms

sample932.0ms

Algorithm
intervals
Results
546.0ms15465×body80valid