Details

Time bar (total: 3.4s)

sample26.0ms

Algorithm
intervals
Results
13.0ms275×body80valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
850025

prune2.0ms

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: 8.6b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
8.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 56
Calls
3 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- t (* a z))
28.0ms
(- x (* y z))
57.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23287375
35001375

prune165.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New541165
Fresh000
Picked011
Done000
Total541266

Merged error: 8.4b

Counts
66 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.4b
(/ 1 (- t (* a z)))
8.4b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- flip--
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 99
Calls
4 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* a z)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series171.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
28.0ms
(- x (* y z))
52.0ms
(/ 1 (- t (* a z)))
59.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0333665
11483585
25002559

prune207.0ms

Filtered
111 candidates to 67 candidates (60.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh1910
Picked011
Done011
Total11112123

Merged error: 8.4b

Counts
123 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.8b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
8.3b
(/ (- t (* a z)) (- x (* y z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-- div-exp flip-- add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 140
Calls
4 calls:
5.0ms
(- t (* a z))
5.0ms
(- x (* y z))
14.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
11.0ms
(/ (- t (* a z)) (- x (* y z)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- t (* a z))
29.0ms
(- x (* y z))
202.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
57.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04971435
122451303
250011217

prune250.0ms

Filtered
152 candidates to 87 candidates (57.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1493152
Fresh459
Picked101
Done022
Total15410164

Merged error: 8.4b

Counts
164 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.2b
(/ 1 (- x (* y z)))
0.8b
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
8.4b
(* (- t (* a z)) (/ 1 (- x (* y z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp associate-/r/
7×flip3-- flip--
6×cbrt-undiv associate-/l* add-log-exp
4×frac-times associate-*l/ associate-/r* cbrt-unprod
3×pow-flip associate-*l* div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×sub-neg diff-log *-commutative
Counts
4 → 131
Calls
4 calls:
3.0ms
(- x (* y z))
4.0ms
(/ 1 (- x (* y z)))
9.0ms
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
10.0ms
(* (- t (* a z)) (/ 1 (- x (* y z))))

series342.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- x (* y z))
48.0ms
(/ 1 (- x (* y z)))
209.0ms
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
57.0ms
(* (- t (* a z)) (/ 1 (- x (* y z))))

simplify56.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0440973
12059809
25001770

prune405.0ms

Filtered
143 candidates to 79 candidates (55.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1430143
Fresh077
Picked011
Done022
Total14310153

Merged error: 8.4b

Counts
153 → 10

regimes219.0ms

Accuracy

0% (0.3b remaining)

Error of 10.6b against oracle of 10.3b and baseline of 10.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample624.0ms

Algorithm
intervals
Results
346.0ms8687×body80valid

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