Details

Time bar (total: 6.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms276×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

3.0b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
5.7b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
12.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series128.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
61.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify133.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011482808
146382733
250022733

prune811.0ms

Filtered
272 candidates to 237 candidates (87.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2639272
Fresh101
Picked101
Done000
Total2659274

Merged error: 5.2b

Counts
274 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
2.9b
(* y (* (fma z z 1.0) x))
5.5b
(* (fma z z 1.0) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
31×times-frac add-cbrt-cube
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
15×div-exp
13×prod-exp associate-/l*
10×pow1 cbrt-unprod
9×cbrt-undiv
6×associate-*l*
4×associate-*r* pow-prod-down
3×expm1-log1p-u 1-exp log1p-expm1-u div-inv add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/r* associate-/l/ unswap-sqr
Counts
3 → 95
Calls
3 calls:
8.0ms
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
5.0ms
(* y (* (fma z z 1.0) x))
4.0ms
(* (fma z z 1.0) x)

series160.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
51.0ms
(* y (* (fma z z 1.0) x))
41.0ms
(* (fma z z 1.0) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0487623
12289499
25001475

prune162.0ms

Filtered
104 candidates to 60 candidates (57.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh268
Picked011
Done000
Total1049113

Merged error: 5.2b

Counts
113 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

3.0b
(/ (/ 1.0 y) (* (fma z z 1.0) x))
5.5b
(* (fma z z 1.0) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 68
Calls
2 calls:
7.0ms
(/ (/ 1.0 y) (* (fma z z 1.0) x))
3.0ms
(* (fma z z 1.0) x)

series294.0ms

Counts
2 → 6
Calls
2 calls:
249.0ms
(/ (/ 1.0 y) (* (fma z z 1.0) x))
45.0ms
(* (fma z z 1.0) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0363433
11499374
25003374

prune144.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh077
Picked011
Done011
Total74983

Merged error: 5.2b

Counts
83 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (* (cbrt 1.0) (cbrt 1.0)) (* (* (cbrt y) (cbrt y)) (sqrt (fma z z 1.0))))
1.2b
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) (cbrt y))
16.6b
(sqrt (fma z z 1.0))
16.6b
(sqrt (fma z z 1.0))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
2497×times-frac
1143×add-sqr-sqrt
1141×add-cube-cbrt *-un-lft-identity
789×cbrt-prod
468×sqrt-prod
137×associate-/l*
51×div-inv
34×add-exp-log
20×add-cbrt-cube
12×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-/r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 1034
Calls
4 calls:
13.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (* (* (cbrt y) (cbrt y)) (sqrt (fma z z 1.0))))
45.0ms
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) (cbrt y))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series644.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (* (* (cbrt y) (cbrt y)) (sqrt (fma z z 1.0))))
222.0ms
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) (cbrt y))
56.0ms
(sqrt (fma z z 1.0))
51.0ms
(sqrt (fma z z 1.0))

simplify235.0ms

Algorithm
egg-herbie
Counts
1046 → 1046
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
0326018629
1500218325

prune3.2s

Filtered
1046 candidates to 706 candidates (67.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New104601046
Fresh066
Picked011
Done022
Total104691055

Merged error: 5.2b

Counts
1055 → 9

regimes139.0ms

Accuracy

0% (1.7b remaining)

Error of 6.8b against oracle of 5.1b and baseline of 6.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample409.0ms

Algorithm
intervals
Results
234.0ms8620×body80valid

Profiling

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