Details

Time bar (total: 4.4s)

sample61.0ms

Algorithm
intervals
Results
43.0ms531×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1427
2547
3547

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.5b
(/ (* x x) (* y y))
23.4b
(/ (* z z) (* t t))

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
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

series145.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms
(/ (* x x) (* y y))
31.0ms
(/ (* z z) (* t t))

simplify48.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0375410
11850329
25002297

prune142.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
21.5b
(/ (* x x) (* y y))

rewrite29.0ms

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:
8.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
13.0ms
(* (/ z t) (/ z t))
5.0ms
(/ (* x x) (* y y))

series145.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
29.0ms
(* (/ z t) (/ z t))
25.0ms
(/ (* x x) (* y y))

simplify73.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0590695
12934591
25002561

prune245.0ms

Pruning

15 alts after pruning (15 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))) (* (/ z t) (/ z t)))
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
0.3b
(* (/ z t) (/ z t))

rewrite25.0ms

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:
5.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
13.0ms
(* (/ z t) (/ z t))

series102.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
26.0ms
(* (/ z t) (/ z t))

simplify63.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0463705
12298601
25001555

prune293.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.4b
(* (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))) (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))))
9.6b
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))
9.6b
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
40×times-frac
28×pow1
24×sqrt-prod
21×swap-sqr
19×associate-*r* associate-*l*
18×add-exp-log add-cbrt-cube
16×sqrt-div
10×sqrt-pow1 pow1/2
8×flip3-+ flip-+ unswap-sqr
6×pow-prod-up
5×frac-times prod-exp cbrt-unprod
4×cbrt-undiv div-exp pow-prod-down pow-sqr div-inv add-log-exp
3×associate-*r/ associate-*l/
2×pow2 rem-sqrt-square pow-plus *-commutative
1×sqrt-unprod rem-square-sqrt
Counts
4 → 154
Calls
4 calls:
15.0ms
(* (/ z t) (/ z t))
19.0ms
(* (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))) (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))))
4.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))
3.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ z t) (/ z t))
69.0ms
(* (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))) (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))))
83.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))
80.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))

simplify99.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
04991922
126331686
250011623

prune388.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes579.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02328
12328

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s15393×body80valid