Details

Time bar (total: 3.7s)

sample43.0ms

Algorithm
intervals
Results
19.0ms739×body80valid

simplify56.0ms

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: 8.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.7b
(/ (* (cosh x) (/ y x)) z)

rewrite33.0ms

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:
16.0ms
(* (cosh x) (/ y x))
15.0ms
(/ (* (cosh x) (/ y x)) z)

series197.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (cosh x) (/ y x))
118.0ms
(/ (* (cosh x) (/ y x)) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0352391
11472333
25001333

prune163.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (cosh x) (/ y (* x z)))
5.6b
(/ y (* x z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×expm1-log1p-u cosh-def log1p-expm1-u div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 54
Calls
2 calls:
26.0ms
(* (cosh x) (/ y (* x z)))
9.0ms
(/ y (* x z))

series138.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(* (cosh x) (/ y (* x z)))
22.0ms
(/ y (* x z))

simplify32.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0266305
11075254
25001252

prune130.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b
(/ 1/2 (exp x))
0.3b
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
5.7b
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity times-frac
20×add-cbrt-cube
19×add-exp-log
13×associate-*l*
6×pow1 cbrt-undiv div-exp associate-/r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
3×associate-*r* fma-udef div-inv
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative associate-/l/
Counts
4 → 101
Calls
4 calls:
0.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
7.0ms
(/ 1/2 (exp x))
16.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
15.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

series295.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
10.0ms
(/ 1/2 (exp x))
103.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
145.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0438829
12409711
25001710

prune509.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) x)
5.9b
(* (/ (cosh x) x) (/ y z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times cosh-def frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (cosh x) x)
24.0ms
(* (/ (cosh x) x) (/ y z))

series205.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ (cosh x) x)
119.0ms
(* (/ (cosh x) x) (/ y z))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0438519
11800463
25001461

prune191.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes168.0ms

Accuracy

94.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.1b

bsearch72.0ms

Steps
ItersRangePoint
7
2.1962720923651758e+18
6.609020086099051e+19
3.53912765090709e+18
8
-7.403819437700906e+54
-1.873679633108984e+51
-1.9785204080581285e+51

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample1.2s

Algorithm
intervals
Results
573.0ms22434×body80valid