Details

Time bar (total: 3.0s)

sample19.0ms

Algorithm
intervals
Results
7.0ms338×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* z t))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
2.0ms
(+ (* x y) (* z t))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(+ (* x y) (* z t))

simplify118.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.3b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.6b
(sqrt (+ (* x y) (* z t)))
0.6b
(sqrt (+ (* x y) (* z t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
2.0ms
(+ (* x y) (* z t))
21.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
4.0ms
(sqrt (+ (* x y) (* z t)))
3.0ms
(sqrt (+ (* x y) (* z t)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x y) (* z t))
37.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
75.0ms
(sqrt (+ (* x y) (* z t)))
71.0ms
(sqrt (+ (* x y) (* z t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0237768
1959698
25002674

prune203.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (sqrt (sqrt (+ (* x y) (* z t)))) 3) (sqrt (sqrt (+ (* x y) (* z t)))))
0.3b
(pow (sqrt (sqrt (+ (* x y) (* z t)))) 3)
0.6b
(sqrt (+ (* x y) (* z t)))
0.6b
(sqrt (+ (* x y) (* z t)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
70×add-sqr-sqrt
32×sqrt-div
27×unpow-prod-down cube-prod
24×associate-*l* unswap-sqr
23×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×flip3-+ associate-*r* flip-+
8×cube-div
7×add-cbrt-cube
6×sqrt-pow1
5×pow-pow sqr-pow
4×frac-times pow1/2 add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp rem-sqrt-square unpow3 associate-*r/ associate-*l/ pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 151
Calls
4 calls:
38.0ms
(* (pow (sqrt (sqrt (+ (* x y) (* z t)))) 3) (sqrt (sqrt (+ (* x y) (* z t)))))
6.0ms
(pow (sqrt (sqrt (+ (* x y) (* z t)))) 3)
3.0ms
(sqrt (+ (* x y) (* z t)))
3.0ms
(sqrt (+ (* x y) (* z t)))

series321.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (pow (sqrt (sqrt (+ (* x y) (* z t)))) 3) (sqrt (sqrt (+ (* x y) (* z t)))))
139.0ms
(pow (sqrt (sqrt (+ (* x y) (* z t)))) 3)
74.0ms
(sqrt (+ (* x y) (* z t)))
72.0ms
(sqrt (+ (* x y) (* z t)))

simplify77.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
04901751
121351444
250021295

prune334.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sqrt (sqrt (+ (* x y) (* z t)))) 3)
0.6b
(sqrt (+ (* x y) (* z t)))
1.1b
(cbrt (+ (* x y) (* z t)))
1.1b
(cbrt (+ (* x y) (* z t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×unpow-prod-down cube-prod
8×pow1
6×cbrt-prod sqrt-div
5×add-exp-log pow-pow sqrt-pow1 add-cbrt-cube
4×cbrt-div flip3-+ flip-+ add-log-exp
3×pow-unpow pow1/2
2×cube-div pow1/3
1×cube-mult pow-to-exp rem-sqrt-square unpow3 pow-exp sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 83
Calls
4 calls:
6.0ms
(pow (sqrt (sqrt (+ (* x y) (* z t)))) 3)
3.0ms
(sqrt (+ (* x y) (* z t)))
2.0ms
(cbrt (+ (* x y) (* z t)))
2.0ms
(cbrt (+ (* x y) (* z t)))

series430.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(pow (sqrt (sqrt (+ (* x y) (* z t)))) 3)
75.0ms
(sqrt (+ (* x y) (* z t)))
107.0ms
(cbrt (+ (* x y) (* z t)))
107.0ms
(cbrt (+ (* x y) (* z t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0465811
11560750
25001716

prune327.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample502.0ms

Algorithm
intervals
Results
226.0ms10432×body80valid