Details

Time bar (total: 6.0s)

sample39.0ms

Algorithm
intervals
Results
20.0ms725×body80valid

simplify58.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.5b
(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

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:
7.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series191.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (cosh x) (/ y x))
115.0ms
(/ (* (cosh x) (/ y x)) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352391
11472333
25001333

prune165.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
0.2b
(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y))
7.5b
(/ (/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y)) z)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
230×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×associate-/l*
22×div-inv
17×add-exp-log add-cbrt-cube
16×associate-/r*
9×cbrt-undiv div-exp
5×associate-/r/
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×fma-udef associate-/l/
Counts
3 → 280
Calls
3 calls:
0.0ms
(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
5.0ms
(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y))
14.0ms
(/ (/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y)) z)

series318.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
121.0ms
(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y))
141.0ms
(/ (/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y)) z)

simplify71.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011814690
150014522

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
0.6b
(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (* z (/ x y)))
6.7b
(* z (/ x y))

rewrite14.0ms

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 div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp
2×associate-*r/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative fma-udef
Counts
3 → 70
Calls
3 calls:
0.0ms
(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
4.0ms
(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (* z (/ x y)))
7.0ms
(* z (/ x y))

series215.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
137.0ms
(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (* z (/ x y)))
22.0ms
(* z (/ x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326566
11692472
25001472

prune237.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
6.6b
(* (/ (/ (sqrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) x) (* (cbrt z) (cbrt z))) (/ (sqrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) (/ (cbrt z) y)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
355×times-frac
254×add-sqr-sqrt
144×add-cube-cbrt *-un-lft-identity
137×associate-*r*
94×sqrt-prod
73×add-exp-log
71×cbrt-prod
56×add-cbrt-cube
33×cbrt-undiv div-exp
28×unswap-sqr
26×associate-*l*
21×prod-exp cbrt-unprod
9×div-inv
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 274
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
105.0ms
(* (/ (/ (sqrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) x) (* (cbrt z) (cbrt z))) (/ (sqrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) (/ (cbrt z) y)))

series871.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt z)
172.0ms
(cbrt z)
174.0ms
(cbrt z)
350.0ms
(* (/ (/ (sqrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) x) (* (cbrt z) (cbrt z))) (/ (sqrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) (/ (cbrt z) y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
015336509
150025731

prune969.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes197.0ms

Accuracy

95.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.6b

bsearch90.0ms

Steps
ItersRangePoint
10
1.1540543818649205e-35
1.1432380193496929e-25
7.25860780760428e-28
8
-4.357630988761951e+21
-1.329000084007943e+18
-3.7750383628585267e+18

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample1.0s

Algorithm
intervals
Results
600.0ms22168×body80valid