Details

Time bar (total: 2.7s)

sample22.0ms

Algorithm
intervals
Results
8.0ms317×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.8b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
2.7b
(* x (- 1.0 (* y z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
2.0ms
(- 1.0 (* y z))
5.0ms
(* x (- 1.0 (* y z)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* y z))
9.0ms
(* x (- 1.0 (* y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0143187
1560166
22091166
35003166

prune71.0ms

Filtered
42 candidates to 28 candidates (33.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New34842
Fresh000
Picked011
Done000
Total34943

Merged error: 2.7b

Counts
43 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.8b
(cbrt (- 1.0 (* y z)))
2.8b
(cbrt (- 1.0 (* y z)))
2.8b
(cbrt (- 1.0 (* y z)))

rewrite17.0ms

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:
8.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
38.0ms
(cbrt (- 1.0 (* y z)))
39.0ms
(cbrt (- 1.0 (* y z)))
37.0ms
(cbrt (- 1.0 (* y z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03521100
113681049
25002988

prune263.0ms

Filtered
99 candidates to 75 candidates (24.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh257
Picked011
Done011
Total999108

Merged error: 2.7b

Counts
108 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

2.8b
(cbrt (- 1.0 (* y z)))
5.8b
(/ (* (cbrt (- (* 1.0 1.0) (* (* y z) (* y z)))) (cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))) (* (cbrt (+ 1.0 (* y z))) (cbrt (+ 1.0 (* y z)))))
9.9b
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))
9.9b
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
16×add-exp-log
11×cbrt-prod
9×flip3-- flip--
8×frac-times associate-/r/ add-cbrt-cube associate-/l/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×flip3-+ flip-+
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×difference-of-squares
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* y z)))
17.0ms
(/ (* (cbrt (- (* 1.0 1.0) (* (* y z) (* y z)))) (cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))) (* (cbrt (+ 1.0 (* y z))) (cbrt (+ 1.0 (* y z)))))
4.0ms
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))
3.0ms
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

series148.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (- 1.0 (* y z)))
63.0ms
(/ (* (cbrt (- (* 1.0 1.0) (* (* y z) (* y z)))) (cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))) (* (cbrt (+ 1.0 (* y z))) (cbrt (+ 1.0 (* y z)))))
23.0ms
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))
25.0ms
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05681565
120971321
250011290

prune324.0ms

Filtered
90 candidates to 77 candidates (14.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh066
Picked011
Done022
Total90999

Merged error: 2.7b

Counts
99 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cbrt (- 1.0 (* y z))) 6)
2.8b
(cbrt (- 1.0 (* y z)))
2.8b
(cbrt (- 1.0 (* y z)))
9.9b
(cbrt (pow (cbrt (- 1.0 (* y z))) 6))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
5×pow1 add-exp-log
4×cbrt-div pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×flip3-- pow-pow flip-- sqr-pow
1×pow-to-exp pow-exp
Counts
4 → 65
Calls
4 calls:
4.0ms
(pow (cbrt (- 1.0 (* y z))) 6)
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
4.0ms
(cbrt (pow (cbrt (- 1.0 (* y z))) 6))

series213.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(pow (cbrt (- 1.0 (* y z))) 6)
39.0ms
(cbrt (- 1.0 (* y z)))
37.0ms
(cbrt (- 1.0 (* y z)))
49.0ms
(cbrt (pow (cbrt (- 1.0 (* y z))) 6))

simplify50.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0431823
11787775
25001745

prune181.0ms

Filtered
77 candidates to 54 candidates (29.9%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done033
Total77986

Merged error: 2.7b

Counts
86 → 9

regimes403.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample580.0ms

Algorithm
intervals
Results
245.0ms9610×body80valid

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