Details

Time bar (total: 2.9s)

sample464.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 13.79827%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
6.0ms256×body80valid
0.0ms11×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.9b
(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
6.0ms
(* x (- 1.0 (* y z)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (- 1.0 (* y z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune60.0ms

Filtered
17 candidates to 27 candidates (-58.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New18927
Fresh000
Picked101
Done000
Total19928

Merged error: 3.0b

Counts
28 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (neg (* y z))))
5.6b
(* x (neg (* y z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (neg (* y z))))
5.0ms
(* x (neg (* y z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* x 1.0) (* x (neg (* y z))))
6.0ms
(* x (neg (* y z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0181204
11018178
25001174

prune63.0ms

Filtered
33 candidates to 42 candidates (-27.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh358
Picked011
Done000
Total44751

Merged error: 0.0b

Counts
51 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

1.1b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
4.0ms
(cbrt (- 1.0 (* y z)))

series143.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
37.0ms
(cbrt (- 1.0 (* y z)))
40.0ms
(cbrt (- 1.0 (* y z)))
38.0ms
(cbrt (- 1.0 (* y z)))

simplify105.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0338834
11057778
24483762
35003759

prune184.0ms

Filtered
63 candidates to 78 candidates (-23.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh055
Picked011
Done011
Total78785

Merged error: 0.0b

Counts
85 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (- 1.0 (* y z))))
2.9b
(* x (- 1.0 (* y z)))
2.9b
(* x (- 1.0 (* y z)))
2.9b
(* x (- 1.0 (* y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
8×associate-*r/
6×distribute-rgt-in sub-neg distribute-lft-in
4×flip3-- flip-- add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 83
Calls
4 calls:
4.0ms
(cbrt (* x (- 1.0 (* y z))))
5.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (* x (- 1.0 (* y z))))
9.0ms
(* x (- 1.0 (* y z)))
9.0ms
(* x (- 1.0 (* y z)))
9.0ms
(* x (- 1.0 (* y z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0221491
1777434
22985430
35002427

prune139.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh044
Picked011
Done022
Total957102

Merged error: 0.0b

Counts
102 → 7

regimes544.0ms

Accuracy

47.4% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03011
14311
24711
34711

end0.0ms

sample826.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 13.79827%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
198.0ms8000×body80valid
7.0ms296×body80invalid

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