Details

Time bar (total: 3.5s)

sample25.0ms

Algorithm
intervals
Results
10.0ms354×body80valid

simplify18.0ms

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: 8.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
8.5b
(/ (- (* 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))
6.0ms
(/ (- (* x y) (* z t)) a)

series99.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* z t))
57.0ms
(/ (- (* x y) (* z t)) a)

simplify96.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune423.0ms

Filtered
54 candidates to 43 candidates (79.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* z t))
0.3b
(/ 1 (/ a (- (* x y) (* z t))))
8.4b
(/ a (- (* x y) (* z t)))

rewrite26.0ms

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:
4.0ms
(- (* x y) (* z t))
12.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (* x y) (* z t))
86.0ms
(/ 1 (/ a (- (* x y) (* z t))))
40.0ms
(/ a (- (* x y) (* z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04431267
118961141
250011049

prune306.0ms

Filtered
142 candidates to 79 candidates (55.6%)
Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
8.6b
(* (/ 1 a) (- (* x y) (* z t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
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×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r* prod-diff flip-- unswap-sqr
2×expm1-log1p-u frac-times associate-*r/ div-exp cbrt-unprod log1p-expm1-u
1×cbrt-undiv rec-exp fma-neg diff-log 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
2 → 63
Calls
2 calls:
4.0ms
(- (* x y) (* z t))
9.0ms
(* (/ 1 a) (- (* x y) (* z t)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* z t))
86.0ms
(* (/ 1 a) (- (* x y) (* z t)))

simplify53.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0314455
11230393
25001374

prune201.0ms

Filtered
69 candidates to 46 candidates (66.7%)
Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* x y) (* z t))
0.3b
(/ 1 (- (* x y) (* z t)))
0.3b
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
8.5b
(* a (/ 1 (- (* x y) (* z t))))

rewrite34.0ms

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
6×cbrt-undiv associate-/r/ associate-/l* add-log-exp
4×expm1-log1p-u associate-/r* cbrt-unprod log1p-expm1-u
3×flip3-- pow-flip associate-*l* flip-- div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×sub-neg fma-neg diff-log prod-diff *-commutative
Counts
4 → 133
Calls
4 calls:
4.0ms
(- (* x y) (* z t))
5.0ms
(/ 1 (- (* x y) (* z t)))
9.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
12.0ms
(* a (/ 1 (- (* x y) (* z t))))

series207.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* x y) (* z t))
34.0ms
(/ 1 (- (* x y) (* z t)))
89.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
39.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify55.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0414934
11808779
25002738

prune306.0ms

Filtered
145 candidates to 78 candidates (53.8%)
Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 8.6b

regimes514.0ms

Accuracy

0% (0.3b remaining)

Error of 7.6b against oracle of 7.3b and baseline of 7.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample664.0ms

Algorithm
intervals
Results
331.0ms11221×body80valid