Details

Time bar (total: 3.1s)

sample41.0ms

Algorithm
intervals
Results
22.0ms817×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (cosh x) (/ y x))
7.3b
(/ (* (cosh x) (/ y x)) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
8.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series195.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (cosh x) (/ y x))
117.0ms
(/ (* (cosh x) (/ y x)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0352391
11472333
25001333

prune153.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/2 (/ (* x y) z) (/ y (* x z)))
4.2b
(/ (* x y) z)
6.0b
(/ y (* x z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×cbrt-undiv div-exp associate-/r* associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv
1×fma-udef
Counts
3 → 56
Calls
3 calls:
0.0ms
(fma 1/2 (/ (* x y) z) (/ y (* x z)))
3.0ms
(/ (* x y) z)
3.0ms
(/ y (* x z))

series85.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma 1/2 (/ (* x y) z) (/ y (* x z)))
22.0ms
(/ (* x y) z)
20.0ms
(/ y (* x z))

simplify101.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0215273
1962232
24442232
35001232

prune138.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/2 (* x (/ y z)) (/ y (* x z)))
0.2b
(* x (/ y z))
6.0b
(/ y (* x z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-exp-log add-cube-cbrt *-un-lft-identity times-frac associate-*r* add-cbrt-cube
5×pow1
3×cbrt-undiv expm1-log1p-u div-exp associate-*l* prod-exp cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
2×div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative fma-udef
Counts
3 → 67
Calls
3 calls:
0.0ms
(fma 1/2 (* x (/ y z)) (/ y (* x z)))
7.0ms
(* x (/ y z))
3.0ms
(/ y (* x z))

series83.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(fma 1/2 (* x (/ y z)) (/ y (* x z)))
21.0ms
(* x (/ y z))
20.0ms
(/ y (* x z))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0276321
11263280
25001280

prune157.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/2 (* x (/ y z)) (* y (/ 1 (* x z))))
0.2b
(* x (/ y z))
0.2b
(/ 1 (* x z))
6.3b
(* y (/ 1 (* x z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
24×add-sqr-sqrt
23×add-cbrt-cube
20×associate-*r*
17×add-cube-cbrt *-un-lft-identity
16×times-frac
15×prod-exp
11×pow1
9×div-exp
7×cbrt-unprod
6×associate-*l*
5×cbrt-undiv
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow-prod-down div-inv associate-/l* unswap-sqr
2×pow-flip associate-*r/ *-commutative
1×frac-2neg clear-num associate-/r* un-div-inv fma-udef inv-pow
Counts
4 → 108
Calls
4 calls:
0.0ms
(fma 1/2 (* x (/ y z)) (* y (/ 1 (* x z))))
7.0ms
(* x (/ y z))
4.0ms
(/ 1 (* x z))
15.0ms
(* y (/ 1 (* x z)))

series115.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(fma 1/2 (* x (/ y z)) (* y (/ 1 (* x z))))
18.0ms
(* x (/ y z))
11.0ms
(/ 1 (* x z))
19.0ms
(* y (/ 1 (* x z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0382495
11909419
25002408

prune326.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes275.0ms

Accuracy

95.5% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 7.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02821
12821

end0.0ms

sample1.1s

Algorithm
intervals
Results
619.0ms22680×body80valid