Details

Time bar (total: 2.6s)

sample22.0ms

Algorithm
intervals
Results
11.0ms397×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1324
2574
3634
4634

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

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))

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))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(- (* 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

prune26.0ms

Filtered
15 candidates to 10 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0b

Counts
16 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.7b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.7b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.7b
(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite23.0ms

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)))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
91.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
91.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
92.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

simplify132.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
02611221
19691142
245661071
350011064

prune213.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done011
Total994103

Merged error: 0b

Counts
103 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) z))
0.2b
(* (* (* y 4.0) z) (* (* y 4.0) z))
1.3b
(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
29.0b
(/ (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
118×pow1
66×pow-prod-down
42×add-exp-log add-cbrt-cube
27×prod-exp cbrt-unprod
23×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
10×add-log-exp
9×pow-sqr pow-prod-up
5×distribute-lft-out
4×flip3-+ flip-+ associate-/l*
3×pow-plus associate-/r* sum-log
2×+-commutative neg-sub0 associate-+l- associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg div-sub swap-sqr div-exp associate-*r* associate-*l* neg-log clear-num *-commutative div-inv
Counts
4 → 121
Calls
4 calls:
4.0ms
(+ (* x x) (* (* y 4.0) z))
11.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
7.0ms
(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
12.0ms
(/ (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x x) (* (* y 4.0) z))
34.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
111.0ms
(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
99.0ms
(/ (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
04591287
124491076
250021052

prune170.0ms

Filtered
133 candidates to 63 candidates (47.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh011
Picked011
Done022
Total1334137

Merged error: 0b

Counts
137 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))
0.3b
(pow (- (* x x) (* (* y 4.0) z)) 3)
32.3b
(cbrt (pow (- (* x x) (* (* y 4.0) z)) 3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-- flip--
2×cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 60
Calls
3 calls:
7.0ms
(- (* x x) (* (* y 4.0) z))
4.0ms
(pow (- (* x x) (* (* y 4.0) z)) 3)
5.0ms
(cbrt (pow (- (* x x) (* (* y 4.0) z)) 3))

series178.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (* x x) (* (* y 4.0) z))
89.0ms
(pow (- (* x x) (* (* y 4.0) z)) 3)
42.0ms
(cbrt (pow (- (* x x) (* (* y 4.0) z)) 3))

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0261543
11215513
25002507

prune94.0ms

Filtered
69 candidates to 37 candidates (53.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done033
Total69473

Merged error: 0b

Counts
73 → 4

regimes128.0ms

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

sample595.0ms

Algorithm
intervals
Results
360.0ms12263×body80valid

Profiling

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