Details

Time bar (total: 6.7s)

sample21.0ms

Algorithm
intervals
Results
11.0ms272×body80valid

simplify14.0ms

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: 4.8b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

3.4b
(/ (/ 1.0 x) (fma z z 1.0))
3.7b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

rewrite34.0ms

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:
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))
13.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

series128.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (/ 1.0 x) (fma z z 1.0))
69.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

simplify117.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011482808
146382733
250032733

prune664.0ms

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: 4.7b

Counts
274 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
1.2b
(/ y (/ (/ (cbrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))))
15.9b
(sqrt (fma z z 1.0))
15.9b
(sqrt (fma z z 1.0))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
2556×times-frac
1178×add-sqr-sqrt
1176×add-cube-cbrt *-un-lft-identity
867×cbrt-prod
486×sqrt-prod
244×associate-/r*
29×div-inv
13×add-exp-log
11×add-cbrt-cube
6×pow1 cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg pow1/3 clear-num associate-/r/
Counts
4 → 1041
Calls
4 calls:
1.0ms
(cbrt x)
48.0ms
(/ y (/ (/ (cbrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series526.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(cbrt x)
261.0ms
(/ y (/ (/ (cbrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))))
51.0ms
(sqrt (fma z z 1.0))
47.0ms
(sqrt (fma z z 1.0))

simplify226.0ms

Algorithm
egg-herbie
Counts
1053 → 1053
Iterations

Useful iterations: 1 (67.0ms)

IterNodesCost
0369717909
1500217479

prune3.1s

Filtered
1053 candidates to 682 candidates (64.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New105301053
Fresh088
Picked011
Done000
Total105391062

Merged error: 4.7b

Counts
1062 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

3.4b
(/ (/ 1.0 x) (fma z z 1.0))
3.7b
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
43×associate-*l*
28×add-cbrt-cube
21×div-exp
13×associate-*r* associate-/l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/r*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative associate-/l/
Counts
2 → 170
Calls
2 calls:
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))
24.0ms
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

series127.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (/ 1.0 x) (fma z z 1.0))
70.0ms
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

simplify104.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
08971380
140931235
250021223

prune344.0ms

Filtered
176 candidates to 137 candidates (77.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh077
Picked011
Done011
Total1769185

Merged error: 4.7b

Counts
185 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
3.3b
(* (fma z z 1.0) x)
3.6b
(* y (* (fma z z 1.0) x))

rewrite21.0ms

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:
9.0ms
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
3.0ms
(* (fma z z 1.0) x)
5.0ms
(* y (* (fma z z 1.0) x))

series162.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
41.0ms
(* (fma z z 1.0) x)
51.0ms
(* y (* (fma z z 1.0) x))

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0487623
12289499
25001475

prune138.0ms

Filtered
104 candidates to 60 candidates (57.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1022104
Fresh246
Picked011
Done022
Total1049113

Merged error: 4.7b

Counts
113 → 9

regimes141.0ms

Accuracy

0% (0.9b remaining)

Error of 5.6b against oracle of 4.7b and baseline of 5.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618

end0.0ms

sample470.0ms

Algorithm
intervals
Results
297.0ms8598×body80valid