Details

Time bar (total: 3.6s)

sample55.0ms

Algorithm
intervals
Results
35.0ms760×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: 7.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.3b
(/ (* (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)

series194.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (cosh x) (/ y x))
116.0ms
(/ (* (cosh x) (/ y x)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0352391
11472333
25001333

prune160.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
7.3b
(/ y (* x z))

rewrite14.0ms

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:
9.0ms
(* (cosh x) (/ y (* x z)))
3.0ms
(/ y (* x z))

series131.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(* (cosh x) (/ y (* x z)))
20.0ms
(/ y (* x z))

simplify36.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0266305
11075254
25001252

prune125.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1/2 (exp x))
0.0b
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
6.8b
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-cbrt-cube
18×add-exp-log
13×associate-*l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*r* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*l/ clear-num fma-udef unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative associate-/l/
Counts
3 → 91
Calls
3 calls:
3.0ms
(/ 1/2 (exp x))
8.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
6.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

series242.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1/2 (exp x))
95.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
137.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0417755
12337646
25002645

prune245.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) x)
6.9b
(* (/ (cosh x) x) (/ y z))

rewrite21.0ms

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:
3.0ms
(/ (cosh x) x)
15.0ms
(* (/ (cosh x) x) (/ y z))

series185.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (cosh x) x)
110.0ms
(* (/ (cosh x) x) (/ y z))

simplify47.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0438519
11800463
25001461

prune183.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes129.0ms

Accuracy

93.4% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.9b

bsearch120.0ms

Steps
ItersRangePoint
9
1.1420888049946253e+57
2.0533383667621896e+65
1.2052909119810524e+57
9
-3.7260100270962394e-17
-2.1273335677857593e-24
-1.357501804248851e-17

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s22264×body80valid