Details

Time bar (total: 3.1s)

sample28.0ms

Algorithm
intervals
Results
12.0ms270×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.7b
(/ (- (* y z) x) (- (* t z) x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 flip3-- associate-/r/ flip-- associate-/l/
3×div-sub
2×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
1×associate-+r-
Counts
4 → 97
Calls
4 calls:
3.0ms
(- (* y z) x)
3.0ms
(- (* t z) x)
14.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms
(/ (- (* y z) x) (- (* t z) x))

series62.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* y z) x)
5.0ms
(- (* t z) x)
33.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
19.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0399950
11413884
25001882

prune158.0ms

Filtered
109 candidates to 78 candidates (28.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1009109
Fresh000
Picked101
Done000
Total1019110

Merged error: 0.7b

Counts
110 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.5b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
7.5b
(/ (- (* t z) x) (- (* y z) x))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
94×*-un-lft-identity
67×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
16×distribute-lft-out
13×associate-/r/ add-cbrt-cube
12×div-inv
11×associate-/l*
9×div-exp
7×flip3-- flip--
6×add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×frac-2neg clear-num
2×rec-exp flip3-+ 1-exp flip-+
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 173
Calls
4 calls:
4.0ms
(- (* t z) x)
22.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
9.0ms
(/ (- (* t z) x) (- (* y z) x))

series84.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* t z) x)
37.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
26.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
17.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify84.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06332022
129171858
250021779

prune163.0ms

Filtered
185 candidates to 104 candidates (43.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1841185
Fresh178
Picked011
Done000
Total1859194

Merged error: 0.7b

Counts
194 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
0.5b
(/ 1 (- (* t z) x))
0.7b
(/ 1 (- (* y z) x))
7.0b
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
547×times-frac
274×*-un-lft-identity
254×add-sqr-sqrt add-cube-cbrt
71×associate-/r/
54×add-exp-log
37×div-exp
36×div-inv
34×flip3-- flip--
25×associate-/r* associate-/l*
22×add-cbrt-cube
11×cbrt-undiv
10×rec-exp 1-exp distribute-lft-out
6×pow1
4×frac-2neg clear-num add-log-exp
3×associate-/l/
2×pow-flip flip3-+ flip-+ inv-pow
Counts
4 → 393
Calls
4 calls:
62.0ms
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
6.0ms
(/ 1 (- (* t z) x))
5.0ms
(/ 1 (- (* y z) x))
18.0ms
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

series75.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
6.0ms
(/ 1 (- (* t z) x))
6.0ms
(/ 1 (- (* y z) x))
28.0ms
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

simplify95.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
016985903
150015378

prune413.0ms

Filtered
405 candidates to 205 candidates (49.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4050405
Fresh077
Picked011
Done011
Total4059414

Merged error: 0.7b

Counts
414 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.1b
(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
0.1b
(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
7.7b
(/ (- (* y z) x) (- (* t z) x))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
165×*-un-lft-identity
155×times-frac
81×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
29×associate-/r*
19×add-exp-log
13×associate-/r/ add-cbrt-cube
10×associate-/l*
9×div-exp
7×div-inv
6×flip3-+ flip-+ add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×flip3-- frac-2neg clear-num flip--
2×rec-exp 1-exp
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 196
Calls
4 calls:
4.0ms
(- (* t z) x)
14.0ms
(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
17.0ms
(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
9.0ms
(/ (- (* y z) x) (- (* t z) x))

series86.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* t z) x)
27.0ms
(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
33.0ms
(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
20.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify86.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06312698
128952491
250012370

prune138.0ms

Filtered
208 candidates to 104 candidates (50.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2080208
Fresh066
Picked011
Done022
Total2089217

Merged error: 0.7b

Counts
217 → 9

regimes482.0ms

Accuracy

58% (2.6b remaining)

Error of 3.6b against oracle of 1.0b and baseline of 7.2b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03221
13221

end0.0ms

sample755.0ms

Algorithm
intervals
Results
387.0ms8323×body80valid

Profiling

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