Details

Time bar (total: 4.8s)

sample30.0ms

Algorithm
intervals
Results
15.0ms362×body80valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0174
1354
2514
3714
4854
5894
6894

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: 5.9b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
5.5b
(/ (- (* x y) (* z t)) a)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
203×add-sqr-sqrt
144×prod-diff
133×*-un-lft-identity
95×associate-*l*
93×add-cube-cbrt
75×associate-*r*
45×unswap-sqr
33×times-frac
25×*-commutative
20×distribute-lft-out-- difference-of-squares
12×fma-neg
11×associate-/l*
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 242
Calls
2 calls:
23.0ms
(- (* x y) (* z t))
26.0ms
(/ (- (* x y) (* z t)) a)

series105.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(- (* x y) (* z t))
55.0ms
(/ (- (* x y) (* z t)) a)

simplify119.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06863046
119482176
250011970

prune260.0ms

Filtered
248 candidates to 84 candidates (33.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New23513248
Fresh000
Picked101
Done000
Total23613249

Merged error: 5.2b

Counts
249 → 13

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
5.6b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
144×prod-diff
109×*-un-lft-identity
94×associate-*l*
91×add-cube-cbrt
88×associate-*r*
36×unswap-sqr
26×*-commutative
18×frac-times
12×fma-neg
11×add-exp-log flip3-- times-frac flip--
10×associate-/l*
9×associate-*r/ associate-/r*
8×distribute-lft-out-- difference-of-squares
7×add-cbrt-cube
4×pow1 prod-exp clear-num add-log-exp
3×frac-2neg un-div-inv
2×expm1-log1p-u div-exp associate-*l/ cbrt-unprod log1p-expm1-u
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp pow-prod-down div-inv
Counts
2 → 254
Calls
2 calls:
17.0ms
(- (* x y) (* z t))
25.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series108.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* x y) (* z t))
57.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify188.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
07953132
127332214
250022043

prune266.0ms

Filtered
260 candidates to 85 candidates (32.7%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2582260
Fresh11112
Picked011
Done000
Total25914273

Merged error: 5.2b

Counts
273 → 14

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.3b
(/ 1 (/ a (- (* x y) (* z t))))
5.6b
(/ a (- (* x y) (* z t)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
462×add-sqr-sqrt
341×*-un-lft-identity
282×times-frac
196×add-cube-cbrt
147×associate-*l*
144×prod-diff
97×unswap-sqr
75×associate-*r*
72×distribute-lft-out-- difference-of-squares
61×associate-/r*
27×associate-/r/
25×*-commutative
16×add-exp-log
12×fma-neg
10×add-cbrt-cube associate-/l*
8×div-exp
6×flip3-- flip-- div-inv
5×add-log-exp
4×pow1 cbrt-undiv clear-num
3×expm1-log1p-u frac-2neg log1p-expm1-u
2×rec-exp 1-exp remove-double-div
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 441
Calls
3 calls:
25.0ms
(- (* x y) (* z t))
24.0ms
(/ 1 (/ a (- (* x y) (* z t))))
18.0ms
(/ a (- (* x y) (* z t)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (* x y) (* z t))
105.0ms
(/ 1 (/ a (- (* x y) (* z t))))
57.0ms
(/ a (- (* x y) (* z t)))

simplify235.0ms

Algorithm
egg-herbie
Counts
450 → 450
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
010685175
141814087
250014087

prune575.0ms

Filtered
450 candidates to 191 candidates (42.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New4455450
Fresh5712
Picked101
Done011
Total45113464

Merged error: 5.2b

Counts
464 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) (* z t))
0.3b
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
0.4b
(/ 1 (- (* x y) (* z t)))
5.2b
(* a (/ 1 (- (* x y) (* z t))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
583×add-sqr-sqrt
417×*-un-lft-identity
358×times-frac
270×associate-*r*
234×add-cube-cbrt
178×associate-*l*
144×prod-diff
128×unswap-sqr
88×distribute-lft-out-- difference-of-squares
83×associate-/r*
52×add-exp-log
34×associate-*r/
32×associate-/r/
30×*-commutative
20×div-exp add-cbrt-cube
16×prod-exp
14×associate-/l*
12×fma-neg
10×pow1 rec-exp 1-exp
7×flip3-- flip-- div-inv
6×cbrt-undiv clear-num un-div-inv add-log-exp
4×expm1-log1p-u frac-2neg cbrt-unprod log1p-expm1-u
3×pow-flip
2×pow-prod-down inv-pow
1×sub-neg diff-log
Counts
4 → 583
Calls
4 calls:
17.0ms
(- (* x y) (* z t))
43.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
18.0ms
(/ 1 (- (* x y) (* z t)))
32.0ms
(* a (/ 1 (- (* x y) (* z t))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* x y) (* z t))
98.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
36.0ms
(/ 1 (- (* x y) (* z t)))
42.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify135.0ms

Algorithm
egg-herbie
Counts
595 → 595
Iterations

Useful iterations: 1 (63.0ms)

IterNodesCost
013866432
150024879

prune653.0ms

Filtered
595 candidates to 238 candidates (40.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New5941595
Fresh11011
Picked011
Done011
Total59513608

Merged error: 5.2b

Counts
608 → 13

regimes533.0ms

Accuracy

0% (1.3b remaining)

Error of 7.1b against oracle of 5.8b and baseline of 7.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165
1165

end0.0ms

sample677.0ms

Algorithm
intervals
Results
345.0ms11203×body80valid