Details

Time bar (total: 3.2s)

sample21.0ms

Algorithm
intervals
Results
8.0ms395×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1324
2574
3634
4634

prune1.0ms

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))

rewrite8.0ms

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:
8.0ms
(- (* x x) (* (* y 4.0) z))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- (* x x) (* (* y 4.0) z))

simplify61.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
099103
140093
2185693
3500293

prune29.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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))))
4.1b
(cbrt (- (* x x) (* (* y 4.0) z)))
4.1b
(cbrt (- (* x x) (* (* y 4.0) z)))
4.1b
(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite72.0ms

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:
48.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
6.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
8.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
101.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
96.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
96.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

simplify135.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
02621221
19691142
245621071
350011064

prune234.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.1b
(pow (cbrt (cbrt (- (* x x) (* (* y 4.0) z)))) 5)
4.1b
(cbrt (- (* x x) (* (* y 4.0) z)))
4.1b
(cbrt (- (* x x) (* (* y 4.0) z)))
4.1b
(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
14.0ms
(pow (cbrt (cbrt (- (* x x) (* (* y 4.0) z)))) 5)
6.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

series421.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(pow (cbrt (cbrt (- (* x x) (* (* y 4.0) z)))) 5)
95.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
95.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
96.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

simplify107.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0292769
1958711
23935705
35001697

prune234.0ms

Pruning

6 alts after pruning (3 fresh and 3 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))))
3.6b
(sqrt (- (* x x) (* (* y 4.0) z)))
3.6b
(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite83.0ms

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))
52.0ms
(* (sqrt (- (* x x) (* (* y 4.0) z))) (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)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* x x) (* (* y 4.0) z))
49.0ms
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
74.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
73.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0225918
1901842
25001814

prune189.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes183.0ms

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
0104
1104

end0.0ms

sample588.0ms

Algorithm
intervals
Results
270.0ms12097×body80valid