Details

Time bar (total: 2.5s)

analyze252.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms23×body80invalid

simplify10.0ms

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: 3.8b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.6b
(* x (- 1.0 (* y z)))

rewrite8.0ms

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:
7.0ms
(* x (- 1.0 (* y z)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(* x (- 1.0 (* y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune51.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New20727
Fresh000
Picked011
Done000
Total20828

Merged error: 3.7b

Counts
28 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(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:
11.0ms
(* 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)))
2.0ms
(cbrt (- 1.0 (* y z)))

series148.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
38.0ms
(cbrt (- 1.0 (* y z)))
40.0ms
(cbrt (- 1.0 (* y z)))
39.0ms
(cbrt (- 1.0 (* y z)))

simplify111.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0338834
11057778
24483762
35003759

prune190.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New76278
Fresh156
Picked011
Done011
Total77986

Merged error: 3.7b

Counts
86 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series143.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
40.0ms
(cbrt (- 1.0 (* y z)))
39.0ms
(cbrt (- 1.0 (* y z)))
41.0ms
(cbrt (- 1.0 (* y z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0248573
1783548
23436526
35001522

prune158.0ms

Filtered
53 candidates to 62 candidates (-17.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh066
Picked011
Done022
Total62971

Merged error: 3.7b

Counts
71 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* y z) (* y z))
2.4b
(* x (- (* 1.0 1.0) (* (* y z) (* y z))))
9.1b
(/ (* x (- (* 1.0 1.0) (* (* y z) (* y z)))) (+ 1.0 (* y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
22×add-exp-log add-cbrt-cube
18×pow-prod-down
10×prod-exp cbrt-unprod
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×associate-*r/ associate-*l* pow-sqr pow-prod-up
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in pow-plus div-exp associate-/r/ *-commutative flip-- associate-/l/
1×pow2 frac-2neg flip3-+ swap-sqr clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
6.0ms
(* (* y z) (* y z))
6.0ms
(* x (- (* 1.0 1.0) (* (* y z) (* y z))))
8.0ms
(/ (* x (- (* 1.0 1.0) (* (* y z) (* y z)))) (+ 1.0 (* y z)))

series64.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (* y z) (* y z))
26.0ms
(* x (- (* 1.0 1.0) (* (* y z) (* y z))))
31.0ms
(/ (* x (- (* 1.0 1.0) (* (* y z) (* y z)))) (+ 1.0 (* y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381650
12050526
25001526

prune73.0ms

Filtered
50 candidates to 93 candidates (-86.0%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New91293
Fresh235
Picked011
Done033
Total939102

Merged error: 3.7b

Counts
102 → 9

regimes361.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

analyze246.0ms

Algorithm
search

sample367.0ms

Algorithm
intervals
Results
196.0ms8000×body80valid
13.0ms556×body80invalid

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