Details

Time bar (total: 3.2s)

sample17.0ms

Algorithm
intervals
Results
6.0ms266×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune6.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.4b
(/ x (- y (* z t)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
3.0ms
(- y (* z t))
5.0ms
(/ x (- y (* z t)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- y (* z t))
39.0ms
(/ x (- y (* z t)))

simplify66.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune147.0ms

Filtered
57 candidates to 44 candidates (77.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49857
Fresh000
Picked101
Done000
Total50858

Merged error: 3.3b

Counts
58 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

3.4b
(/ (- x) (fma t z (- y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
4×neg-mul-1
3×add-exp-log associate-/r* add-cbrt-cube
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u frac-2neg div-sub distribute-frac-neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
6.0ms
(/ (- x) (fma t z (- y)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ (- x) (fma t z (- y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0181470
1581454
21592451
35001450

prune177.0ms

Filtered
62 candidates to 48 candidates (77.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New58462
Fresh347
Picked011
Done000
Total61970

Merged error: 3.3b

Counts
70 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ -1 (/ (fma t z (- y)) x))
3.4b
(/ (fma t z (- y)) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 101
Calls
2 calls:
6.0ms
(/ -1 (/ (fma t z (- y)) x))
4.0ms
(/ (fma t z (- y)) x)

series119.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ -1 (/ (fma t z (- y)) x))
65.0ms
(/ (fma t z (- y)) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0350870
11564828
25003765

prune273.0ms

Filtered
107 candidates to 73 candidates (68.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh347
Picked011
Done011
Total1088116

Merged error: 3.3b

Counts
116 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (- x) (fma t z (- y)))
15.4b
(cbrt (/ (- x) (fma t z (- y))))
15.4b
(cbrt (/ (- x) (fma t z (- y))))
15.4b
(cbrt (/ (- x) (fma t z (- y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
102×cbrt-prod
87×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×distribute-lft-neg-in distribute-rgt-neg-in
13×neg-mul-1
10×associate-/l*
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r*
1×cbrt-undiv neg-sub0 frac-2neg div-sub distribute-frac-neg div-exp clear-num
Counts
4 → 194
Calls
4 calls:
5.0ms
(/ (- x) (fma t z (- y)))
4.0ms
(cbrt (/ (- x) (fma t z (- y))))
4.0ms
(cbrt (/ (- x) (fma t z (- y))))
5.0ms
(cbrt (/ (- x) (fma t z (- y))))

series561.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (- x) (fma t z (- y)))
175.0ms
(cbrt (/ (- x) (fma t z (- y))))
171.0ms
(cbrt (/ (- x) (fma t z (- y))))
178.0ms
(cbrt (/ (- x) (fma t z (- y))))

simplify91.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
03082081
18472032
224462011
350012001

prune747.0ms

Filtered
206 candidates to 165 candidates (80.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2051206
Fresh145
Picked011
Done022
Total2068214

Merged error: 3.3b

Counts
214 → 8

regimes222.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample424.0ms

Algorithm
intervals
Results
206.0ms8361×body80valid