Details

Time bar (total: 3.2s)

sample24.0ms

Algorithm
intervals
Results
10.0ms339×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1354
2514
3714
4854
5894
6894

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
5.9b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
4.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series104.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x y) (* z t))
61.0ms
(/ (- (* x y) (* z t)) a)

simplify104.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune187.0ms

Filtered
54 candidates to 43 candidates (79.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
5.1b
(/ (* x y) a)
5.1b
(/ (* t z) a)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
49×prod-diff
39×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
19×div-inv
13×add-exp-log add-cbrt-cube
7×fma-neg
6×associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 121
Calls
3 calls:
13.0ms
(- (/ (* x y) a) (/ (* t z) a))
3.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series129.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(- (/ (* x y) a) (/ (* t z) a))
22.0ms
(/ (* x y) a)
28.0ms
(/ (* t z) a)

simplify77.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
04721466
119691032
250011024

prune297.0ms

Filtered
130 candidates to 71 candidates (54.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ a (- (* x y) (* z t))))
0.3b
(- (* x y) (* z t))
6.0b
(/ a (- (* x y) (* z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip fma-neg diff-log prod-diff inv-pow
Counts
3 → 133
Calls
3 calls:
9.0ms
(/ 1 (/ a (- (* x y) (* z t))))
3.0ms
(- (* x y) (* z t))
5.0ms
(/ a (- (* x y) (* z t)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(/ 1 (/ a (- (* x y) (* z t))))
49.0ms
(- (* x y) (* z t))
43.0ms
(/ a (- (* x y) (* z t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04431267
118961141
250011049

prune339.0ms

Filtered
142 candidates to 85 candidates (59.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
6.0b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×flip3-- associate-*l* flip-- unswap-sqr
2×expm1-log1p-u frac-times div-exp associate-*l/ cbrt-unprod log1p-expm1-u
1×cbrt-undiv sub-neg rec-exp fma-neg diff-log 1-exp associate-*r/ prod-diff pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 58
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
16.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series104.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x y) (* z t))
61.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify51.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0292413
11156361
25001342

prune174.0ms

Filtered
64 candidates to 47 candidates (73.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes593.0ms

Accuracy

86.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 7.6b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04638
15038
25038

end0.0ms

sample666.0ms

Algorithm
intervals
Results
336.0ms11162×body80valid