Details

Time bar (total: 4.3s)

sample42.0ms

Algorithm
intervals
Results
18.0ms737×body80valid

simplify68.0ms

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: 9.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
9.2b
(/ (* (cosh x) (/ y x)) z)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 74
Calls
3 calls:
1.0ms
(cosh x)
18.0ms
(* (cosh x) (/ y x))
13.0ms
(/ (* (cosh x) (/ y x)) z)

series274.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(cosh x)
90.0ms
(* (cosh x) (/ y x))
125.0ms
(/ (* (cosh x) (/ y x)) z)

simplify56.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0383433
11634372
25001368

prune215.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b
(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
0.0b
(/ 1/2 (exp x))
7.1b
(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×times-frac
34×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
19×add-exp-log
13×associate-*r* associate-*l*
6×pow1 cbrt-undiv div-exp associate-/r* associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 120
Calls
4 calls:
0.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
9.0ms
(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
6.0ms
(/ 1/2 (exp x))
23.0ms
(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

series275.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
72.0ms
(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
10.0ms
(/ 1/2 (exp x))
156.0ms
(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

simplify80.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05091056
12478943
25002942

prune401.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
0.0b
(/ 1/2 (exp x))
6.9b
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

rewrite39.0ms

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)))
15.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
7.0ms
(/ 1/2 (exp x))
14.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

series316.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
107.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
10.0ms
(/ 1/2 (exp x))
161.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

simplify78.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0438829
12409711
25001710

prune335.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b
(* y (fma (exp x) 1/2 (/ 1/2 (exp x))))
0.0b
(/ 1/2 (exp x))
7.1b
(/ (* y (fma (exp x) 1/2 (/ 1/2 (exp x)))) (* z x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube
19×add-exp-log
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
10×times-frac
6×pow1
5×cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×associate-*r* associate-*l* fma-udef
2×frac-2neg clear-num div-inv
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative unswap-sqr
Counts
4 → 84
Calls
4 calls:
0.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
7.0ms
(* y (fma (exp x) 1/2 (/ 1/2 (exp x))))
7.0ms
(/ 1/2 (exp x))
17.0ms
(/ (* y (fma (exp x) 1/2 (/ 1/2 (exp x)))) (* z x))

series236.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
65.0ms
(* y (fma (exp x) 1/2 (/ 1/2 (exp x))))
10.0ms
(/ 1/2 (exp x))
122.0ms
(/ (* y (fma (exp x) 1/2 (/ 1/2 (exp x)))) (* z x))

simplify67.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0357666
11997549
25001549

prune255.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

94.2% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.8b

bsearch103.0ms

Steps
ItersRangePoint
9
1.0083976401382498e+30
2.5389761738033346e+37
1.02362606662983e+30
9
-3.5973366670433506e+86
-4.34566125786659e+77
-4.4125361339711144e+77

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample1.2s

Algorithm
intervals
Results
574.0ms22224×body80valid