Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms271×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune3.0ms

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: 2.0b

Counts
2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.0b
(/ x (- y (* z t)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
fma-neg prod-diff associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
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))
7.0ms
(/ x (- y (* z t)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- y (* z t))
32.0ms
(/ x (- y (* z t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune109.0ms

Filtered
57 candidates to 44 candidates (77.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New51657
Fresh000
Picked011
Done000
Total51758

Merged error: 1.9b

Counts
58 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.2b
(/ 1 (- y (* z t)))
2.0b
(* x (/ 1 (- y (* z t))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
pow1
add-log-exp
div-exp prod-exp associate-/r/
expm1-log1p-u flip3-- fma-neg associate-*l* prod-diff associate-/r* flip-- log1p-expm1-u associate-/l* unswap-sqr
cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 95
Calls
3 calls:
3.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
8.0ms
(* x (/ 1 (- y (* z t))))

series104.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- y (* z t))
45.0ms
(/ 1 (- y (* z t)))
32.0ms
(* x (/ 1 (- y (* z t))))

simplify78.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0289533
11133461
24086427
35001424

prune147.0ms

Filtered
104 candidates to 65 candidates (62.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh145
Picked011
Done011
Total1047111

Merged error: 1.9b

Counts
111 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
1.1b
(/ 1 (/ (- y (* z t)) x))
2.0b
(/ (- y (* z t)) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
div-exp
div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
expm1-log1p-u fma-neg prod-diff log1p-expm1-u
rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 130
Calls
3 calls:
3.0ms
(- y (* z t))
7.0ms
(/ 1 (/ (- y (* z t)) x))
5.0ms
(/ (- y (* z t)) x)

series170.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- y (* z t))
99.0ms
(/ 1 (/ (- y (* z t)) x))
40.0ms
(/ (- y (* z t)) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0434991
11842881
25001802

prune177.0ms

Filtered
139 candidates to 81 candidates (58.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh044
Picked011
Done022
Total1397146

Merged error: 1.9b

Counts
146 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (- y (* z t)) 3)
0.3b
(/ 1 (pow (- y (* z t)) 3))
2.0b
(* x (cbrt (/ 1 (pow (- y (* z t)) 3))))
30.6b
(cbrt (/ 1 (pow (- y (* z t)) 3)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
100×add-sqr-sqrt
93×cbrt-prod
82×*-un-lft-identity
78×add-cube-cbrt
45×associate-*r*
35×unpow-prod-down cube-prod
16×add-exp-log
13×sqr-pow
12×associate-/r*
11×cube-mult unpow3
10×unswap-sqr
cube-div add-cbrt-cube
pow1
div-exp associate-/r/
expm1-log1p-u pow-to-exp flip3-- pow-exp flip-- log1p-expm1-u add-log-exp
rec-exp pow-unpow 1-exp associate-*l* div-inv associate-/l*
cbrt-div
cbrt-undiv pow-flip pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow rem-cube-cbrt
Counts
4 → 229
Calls
4 calls:
4.0ms
(pow (- y (* z t)) 3)
7.0ms
(/ 1 (pow (- y (* z t)) 3))
16.0ms
(* x (cbrt (/ 1 (pow (- y (* z t)) 3))))
6.0ms
(cbrt (/ 1 (pow (- y (* z t)) 3)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(pow (- y (* z t)) 3)
109.0ms
(/ 1 (pow (- y (* z t)) 3))
52.0ms
(* x (cbrt (/ 1 (pow (- y (* z t)) 3))))
58.0ms
(cbrt (/ 1 (pow (- y (* z t)) 3)))

simplify81.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04991906
121921557
250021508

prune318.0ms

Filtered
241 candidates to 110 candidates (45.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2410241
Fresh033
Picked011
Done033
Total2417248

Merged error: 1.9b

Counts
248 → 7

regimes171.0ms

Accuracy

0% (0.1b remaining)

Error of 2.7b against oracle of 2.7b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample455.0ms

Algorithm
intervals
Results
241.0ms8355×body80valid