Details

Time bar (total: 2.1s)

sample21.0ms

Algorithm
intervals
Results
8.0ms378×body80valid

simplify8.0ms

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))

rewrite11.0ms

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:
11.0ms
(- (* x x) (* (* y 4.0) z))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(- (* x x) (* (* y 4.0) z))

simplify65.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
099103
140093
2185693
3500293

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))
0.1b
(* (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)))

rewrite86.0ms

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:
8.0ms
(- (* x x) (* (* y 4.0) z))
56.0ms
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
9.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
9.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* x x) (* (* y 4.0) z))
43.0ms
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
59.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
63.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0225918
1901842
25001814

prune214.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))) (sqrt (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)))
1.8b
(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
52×add-sqr-sqrt
35×sqrt-pow1
30×pow1 sqrt-div
19×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×flip3-- associate-*r* associate-*l* pow-prod-up flip-- unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×frac-times add-log-exp
3×rem-sqrt-square
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
66.0ms
(* (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))) (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))))
9.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
11.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
9.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))) (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))))
63.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
63.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
60.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02451242
19761158
250011128

prune298.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

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

sample587.0ms

Algorithm
intervals
Results
264.0ms12257×body80valid