Details

Time bar (total: 2.2s)

sample34.0ms

Algorithm
intervals
Results
18.0ms384×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1324
2574
3634
4634

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 x) (* (* y 4.0) z))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* x x) (* (* y 4.0) z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- (* x x) (* (* y 4.0) z))

simplify70.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
099103
140093
2185693
3500293

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.4b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.4b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.4b
(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
11.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
4.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
4.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
96.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
92.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
93.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

simplify134.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
02621221
19691142
245621071
350011064

prune269.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))
0.2b
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
1.8b
(sqrt (- (* x x) (* (* y 4.0) z)))
1.8b
(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite24.0ms

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×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
4.0ms
(- (* x x) (* (* y 4.0) z))
11.0ms
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
3.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
3.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* x x) (* (* y 4.0) z))
41.0ms
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
67.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
69.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0225918
1901842
25001814

prune200.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample524.0ms

Algorithm
intervals
Results
276.0ms12243×body80valid