Details

Time bar (total: 2.9s)

sample34.0ms

Algorithm
intervals
Results
13.0ms268×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
0524817

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 8.1b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.2b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.7b
(/ (- (* y z) x) (- (* t z) x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 div-sub associate-/r/ associate-/l/
flip3-- flip3-+ flip-- flip-+
cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
+-commutative sub-neg diff-log sum-log
Counts
4 → 98
Calls
4 calls:
4.0ms
(- (* t z) x)
12.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
17.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.0ms
(/ (- (* y z) x) (- (* t z) x))

series95.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* t z) x)
28.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
41.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
20.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
056661916

prune174.0ms

Filtered
84 candidates to 110 candidates (-31.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1019110
Fresh000
Picked101
Done000
Total1029111

Merged error: 0.2b

Counts
111 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
2.3b
(/ x (- (* z t) x))
4.2b
(* y (/ z (- (* z t) x)))
8.3b
(/ z (- (* z t) x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
44×times-frac
43×add-sqr-sqrt
38×add-cube-cbrt
15×add-exp-log associate-*r* add-cbrt-cube
10×associate-/r* distribute-lft-out associate-/l*
associate-/r/
pow1
cbrt-undiv div-exp div-inv add-log-exp
flip3-- frac-2neg associate-*l* clear-num flip--
flip3-+ prod-exp cbrt-unprod flip-+ associate-/l/ unswap-sqr
associate-+r- div-sub associate-*r/ pow-prod-down *-commutative
Counts
4 → 133
Calls
4 calls:
19.0ms
(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
6.0ms
(/ x (- (* z t) x))
10.0ms
(* y (/ z (- (* z t) x)))
9.0ms
(/ z (- (* z t) x))

series79.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
13.0ms
(/ x (- (* z t) x))
13.0ms
(* y (/ z (- (* z t) x)))
10.0ms
(/ z (- (* z t) x))

simplify55.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
055912243

prune182.0ms

Filtered
109 candidates to 145 candidates (-33.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1432145
Fresh268
Picked011
Done000
Total1459154

Merged error: 0.2b

Counts
154 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x))))
0.2b
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x)))) (+ x 1.0))
2.3b
(/ x (- (* z t) x))
4.5b
(/ y (- t (/ x z)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
34×add-cube-cbrt
18×distribute-lft-out
13×associate-/r*
11×associate-/l*
10×add-exp-log add-cbrt-cube distribute-lft-out--
add-log-exp
difference-of-squares
associate-/r/
pow1
cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
associate-+r- associate-+r+ flip3-- sum-log flip-- associate-/l/
+-commutative sub-neg diff-log div-sub
Counts
4 → 133
Calls
4 calls:
32.0ms
(+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x))))
38.0ms
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x)))) (+ x 1.0))
6.0ms
(/ x (- (* z t) x))
9.0ms
(/ y (- t (/ x z)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x))))
40.0ms
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x)))) (+ x 1.0))
13.0ms
(/ x (- (* z t) x))
11.0ms
(/ y (- t (/ x z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
054012572

prune161.0ms

Filtered
104 candidates to 145 candidates (-39.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1441145
Fresh257
Picked011
Done011
Total1468154

Merged error: 0.2b

Counts
154 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ x (- (/ 1 (/ (- t (/ x z)) y)) (/ x (- (* z t) x)))) (+ x 1.0))
0.9b
(/ 1 (/ (- t (/ x z)) y))
2.3b
(/ x (- (* z t) x))
4.6b
(/ (- t (/ x z)) y)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
205×times-frac
179×*-un-lft-identity
178×add-sqr-sqrt
98×add-cube-cbrt
32×associate-/r* difference-of-squares
26×distribute-lft-out--
22×distribute-lft-out
21×add-exp-log
18×associate-/l*
15×add-cbrt-cube
13×div-inv
10×div-exp
cbrt-undiv
pow1 associate-/r/
frac-2neg clear-num associate-/l/ add-log-exp
rec-exp flip3-- flip3-+ 1-exp div-sub flip-- flip-+
associate-+r- pow-flip inv-pow
Counts
4 → 234
Calls
4 calls:
69.0ms
(/ (+ x (- (/ 1 (/ (- t (/ x z)) y)) (/ x (- (* z t) x)))) (+ x 1.0))
13.0ms
(/ 1 (/ (- t (/ x z)) y))
6.0ms
(/ x (- (* z t) x))
10.0ms
(/ (- t (/ x z)) y)

series83.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (+ x (- (/ 1 (/ (- t (/ x z)) y)) (/ x (- (* z t) x)))) (+ x 1.0))
21.0ms
(/ 1 (/ (- t (/ x z)) y))
13.0ms
(/ x (- (* z t) x))
10.0ms
(/ (- t (/ x z)) y)

simplify84.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049604073
149604073

prune221.0ms

Filtered
155 candidates to 246 candidates (-58.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2451246
Fresh145
Picked011
Done022
Total2468254

Merged error: 0.2b

Counts
254 → 8

regimes290.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
11821

end0.0ms

sample853.0ms

Algorithm
intervals
Results
424.0ms8332×body80valid

Profiling

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