Details

Time bar (total: 3.8s)

sample35.0ms

Algorithm
intervals
Results
19.0ms500×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: 32.0b

localize11.0ms

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))

rewrite26.0ms

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

series139.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
24.0ms
(/ (* z z) (* t t))
25.0ms
(/ (* x x) (* y y))

simplify39.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0375410
11850329
25002297

prune140.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.4b
(* (/ x y) (/ x y))
20.0b
(/ (* z z) (* t t))

rewrite27.0ms

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

series143.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
24.0ms
(* (/ x y) (/ x y))
29.0ms
(/ (* z z) (* t t))

simplify68.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0590695
12942594
25002564

prune241.0ms

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
7.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
14.0ms
(* (/ z t) (/ z t))
10.0ms
(* (/ x y) (/ x y))

series141.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
24.0ms
(* (/ z t) (/ z t))
25.0ms
(* (/ x y) (/ x y))

simplify102.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08181019
14079895
25001862

prune346.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ x y) (/ x y))
0.4b
(* (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))) (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))))
6.8b
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
6.8b
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
286×sqrt-div
278×frac-times
234×frac-add
168×associate-*r/ associate-*l/
68×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
40×times-frac
28×pow1
26×flip3-+ flip-+
24×sqrt-prod
21×swap-sqr
19×associate-*r* associate-*l*
18×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2
8×unswap-sqr
6×pow-prod-up
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp pow-prod-down pow-sqr div-inv add-log-exp
2×pow2 rem-sqrt-square pow-plus *-commutative
1×sqrt-unprod rem-square-sqrt
Counts
4 → 307
Calls
4 calls:
10.0ms
(* (/ x y) (/ x y))
26.0ms
(* (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))) (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))))
7.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
7.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))

series274.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ x y) (/ x y))
90.0ms
(* (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))) (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))))
78.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
81.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))

simplify126.0ms

Algorithm
egg-herbie
Counts
319 → 319
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07715178
132084989
250024920

prune521.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01528
11528

end0.0ms

sample993.0ms

Algorithm
intervals
Results
603.0ms15395×body80valid