Details

Time bar (total: 1.9s)

sample26.0ms

Algorithm
intervals
Results
11.0ms394×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0519
1519

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(- (* x x) (* (* y 4.0) z))

simplify37.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05450185

prune23.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* y (* 4.0 z)))
0.2b
(pow (- (* x x) (* y (* 4.0 z))) 3)
0.2b
(* y (* 4.0 z))
39.1b
(cbrt (pow (- (* x x) (* y (* 4.0 z))) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod add-log-exp
4×cube-div
3×pow-unpow flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod
2×cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log associate-*r* pow-exp *-commutative rem-cbrt-cube rem-cube-cbrt
Counts
4 → 78
Calls
4 calls:
5.0ms
(- (* x x) (* y (* 4.0 z)))
4.0ms
(pow (- (* x x) (* y (* 4.0 z))) 3)
5.0ms
(* y (* 4.0 z))
4.0ms
(cbrt (pow (- (* x x) (* y (* 4.0 z))) 3))

series39.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* x x) (* y (* 4.0 z)))
19.0ms
(pow (- (* x x) (* y (* 4.0 z))) 3)
3.0ms
(* y (* 4.0 z))
8.0ms
(cbrt (pow (- (* x x) (* y (* 4.0 z))) 3))

simplify46.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050311099

prune87.0ms

Filtered
50 candidates to 90 candidates (-80.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh011
Picked011
Done011
Total90393

Merged error: 0.0b

Counts
93 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (pow x 4) (* y (* 4.0 (* z (+ (* x x) (* y (* 4.0 z)))))))
1.6b
(- (pow x 6) (pow (* y (* 4.0 z)) 3))
5.5b
(* y (* 4.0 (* z (+ (* x x) (* y (* 4.0 z))))))
42.4b
(/ (- (pow x 6) (pow (* y (* 4.0 z)) 3)) (+ (pow x 4) (* y (* 4.0 (* z (+ (* x x) (* y (* 4.0 z))))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
30×*-un-lft-identity times-frac difference-of-squares
25×sqr-pow
24×distribute-rgt-in distribute-lft-in
20×add-cube-cbrt
15×add-exp-log add-cbrt-cube
13×pow1
10×unpow-prod-down associate-/l*
8×associate-+r+ add-log-exp
6×associate-*r/ pow-prod-down prod-exp cbrt-unprod
5×distribute-lft-out--
3×flip3-+ associate-*l* associate-/r* flip-+
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*r* clear-num sum-log *-commutative div-inv
Counts
4 → 129
Calls
4 calls:
5.0ms
(+ (pow x 4) (* y (* 4.0 (* z (+ (* x x) (* y (* 4.0 z)))))))
7.0ms
(- (pow x 6) (pow (* y (* 4.0 z)) 3))
10.0ms
(* y (* 4.0 (* z (+ (* x x) (* y (* 4.0 z))))))
13.0ms
(/ (- (pow x 6) (pow (* y (* 4.0 z)) 3)) (+ (pow x 4) (* y (* 4.0 (* z (+ (* x x) (* y (* 4.0 z))))))))

series89.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (pow x 4) (* y (* 4.0 (* z (+ (* x x) (* y (* 4.0 z)))))))
21.0ms
(- (pow x 6) (pow (* y (* 4.0 z)) 3))
17.0ms
(* y (* 4.0 (* z (+ (* x x) (* y (* 4.0 z))))))
34.0ms
(/ (- (pow x 6) (pow (* y (* 4.0 z)) 3)) (+ (pow x 4) (* y (* 4.0 (* z (+ (* x x) (* y (* 4.0 z))))))))

simplify52.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049884354
149884354

prune317.0ms

Filtered
101 candidates to 141 candidates (-39.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done022
Total1413144

Merged error: 0.0b

Counts
144 → 3

regimes303.0ms

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
0109
1109

end0.0ms

sample738.0ms

Algorithm
intervals
Results
326.0ms12182×body80valid

Profiling

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