Details

Time bar (total: 3.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms272×body80valid

simplify12.0ms

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: 2.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.8b
(/ x (- y (* z t)))

rewrite10.0ms

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))
5.0ms
(/ x (- y (* z t)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- y (* z t))
43.0ms
(/ x (- y (* z t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune141.0ms

Filtered
57 candidates to 44 candidates (77.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New53457
Fresh000
Picked011
Done000
Total53558

Merged error: 2.8b

Counts
58 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.2b
(/ 1 (- y (* z t)))
2.9b
(* x (/ 1 (- y (* z t))))

rewrite21.0ms

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))
5.0ms
(/ 1 (- y (* z t)))
10.0ms
(* x (/ 1 (- y (* z t))))

series136.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- y (* z t))
60.0ms
(/ 1 (- y (* z t)))
41.0ms
(* x (/ 1 (- y (* z t))))

simplify96.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0289533
11133461
24086427
35001424

prune196.0ms

Filtered
104 candidates to 65 candidates (62.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh033
Picked011
Done011
Total1036109

Merged error: 2.8b

Counts
109 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.8b
(/ 1 (/ (- y (* z t)) x))
2.6b
(/ (- y (* z t)) x)

rewrite22.0ms

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))
6.0ms
(/ (- y (* z t)) x)

series218.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- y (* z t))
125.0ms
(/ 1 (/ (- y (* z t)) x))
56.0ms
(/ (- y (* z t)) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0434991
11842881
25001802

prune242.0ms

Filtered
139 candidates to 81 candidates (58.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh033
Picked011
Done022
Total1396145

Merged error: 2.8b

Counts
145 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.9b
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
7.6b
(cbrt (/ 1 (- y (* z t))))
7.6b
(cbrt (/ 1 (- y (* z t))))
7.6b
(cbrt (/ 1 (- y (* z t))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
cbrt-div add-cbrt-cube
associate-/r/
expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 102
Calls
4 calls:
20.0ms
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
4.0ms
(cbrt (/ 1 (- y (* z t))))
4.0ms
(cbrt (/ 1 (- y (* z t))))
4.0ms
(cbrt (/ 1 (- y (* z t))))

series629.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
147.0ms
(cbrt (/ 1 (- y (* z t))))
147.0ms
(cbrt (/ 1 (- y (* z t))))
149.0ms
(cbrt (/ 1 (- y (* z t))))

simplify133.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
03751107
110601031
23863992
35001923

prune305.0ms

Filtered
114 candidates to 76 candidates (66.7%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1140114
Fresh022
Picked011
Done033
Total1146120

Merged error: 2.8b

Counts
120 → 6

regimes199.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

end0.0ms

sample464.0ms

Algorithm
intervals
Results
242.0ms8360×body80valid

Profiling

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